what is the charge in coulombs of the nucleus of a chlorine atom

Answers

Answer 1

The charge in coulombs of the nucleus of a chlorine atom is +1.60 x 10^-19 C.

The charge of an atomic nucleus is determined by the number of protons it contains. Chlorine has an atomic number of 17, which means it has 17 protons in its nucleus.

The charge of a proton is +1.60 x 10^-19 C. Therefore, the total charge of the nucleus of a chlorine atom can be calculated by multiplying the number of protons (17) by the charge of a proton.

Charge of nucleus = Number of protons x Charge of a proton

                 = 17 x (+1.60 x 10^-19 C)

                 = +2.72 x 10^-18 C

The charge of the nucleus of a chlorine atom is +2.72 x 10^-18 C, which is equivalent to +1.60 x 10^-19 C per proton.

To know more about Coulombs, visit

https://brainly.com/question/30722759

#SPJ11


Related Questions

Why particles move faster when temperature increases?

Answers

When there is increase in kinetic enery particles move faster

which of the following are true about beta decay? i. it results in an atom with a smaller atomic number. ii. it results in the emission of an electron. iii. it results in an atom with one less neutron

Answers

The statements that are true about beta decay are "beta decay results in the emission of an electron" and "beta decay results in an atom with a smaller atomic number". The correct options are ii and iii.

Beta decay involves the transformation of an atomic nucleus, resulting in the emission of an electron, which is called a beta particle (statement ii). During beta decay, a neutron is converted into a proton within the nucleus, and the excess negative charge is carried away by the emitted electron.

However, statement i is false. Instead of resulting in an atom with a smaller atomic number, beta decay actually leads to an atom with a higher atomic number, as the conversion of a neutron into a proton increases the number of protons in the nucleus.

Hence, the correct statements are: ii. Beta decay results in the emission of an electron and iii. Beta decay results in an atom with one less neutron.

To know more about beta decay, refer to the link:

https://brainly.com/question/27770519#

#SPJ11

for each of the following balanced oxidation-reduction reactions,(i) identify the oxidation numbers for all the elements in the reactants and products and (ii) state the total number of electrons transferred in each reaction. (a) i2o5 5 co ---> i2 5 co2 (b) 2hg2 n2h4 ----> 2 hg n2 4 h (c) 3 h2s 2 h 2 no3- -------> 3 s 2 no 4 h2o

Answers

(a) (i) In reaction (a), the oxidation number of Iodine (I) in I2O5 is +5, and in I2 it is 0. The oxidation number of Carbon (C) in CO is +2, and in CO2 it is +4. (ii) In reaction (a), the total number of electrons transferred is 10.

(b) (i) In reaction (b), the oxidation number of Mercury (Hg) in Hg2 is +1, and in Hg it is 0. The oxidation number of Nitrogen (N) in N2H4 is -2, and in N2 it is 0.

(ii) In reaction (b), the total number of electrons transferred is 4.

(c) (i) In reaction (c), the oxidation number of Hydrogen (H) in H2S is -1, and in H2O it is +1. The oxidation number of Sulfur (S) in H2S is -2, and in S it is 0. The oxidation number of Nitrogen (N) in NO3- is +5, and in NO it is +2.

(ii) In reaction (c), the total number of electrons transferred is 12.

In oxidation-reduction reactions, oxidation numbers are used to track the transfer of electrons. The oxidation number of an element indicates the hypothetical charge it would have if all the bonds in the compound were purely ionic.

To determine the oxidation numbers, we assign known oxidation numbers to elements and use the rules of assigning oxidation numbers to determine the unknown ones.

The total number of electrons transferred in a reaction can be determined by comparing the change in oxidation numbers of the elements involved.

In reaction (a), the oxidation numbers for Iodine and Carbon change, and 10 electrons are transferred. In reaction (b), the oxidation numbers for Mercury and Nitrogen change, and 4 electrons are transferred. In reaction (c), the oxidation numbers for Hydrogen, Sulfur, and Nitrogen change, and 12 electrons are transferred. These values provide insights into the electron transfer and redox nature of the reactions.

To know more about Oxidation, visit

https://brainly.com/question/13182308

#SPJ11

Canvas * XCIO DE Question 2 Identify which of the following are examples of physical properties the boiling point of ethanol the density of neon gas. the rusting of iron the conductivity of aluminum wire. the condensation of steam. the tarnishing of silver the decomposition of water to hydrogen gas and oxygen gas. the melting point of gold. the frying of an egg the combustion of butane gas. • Previous

Answers

The boiling point of ethanol, the density of neon gas, the conductivity of aluminum wire, the condensation of steam, the tarnishing of silver, the melting point of gold, and the combustion of butane gas are examples of physical properties.

Physical properties are characteristics of substances that can be observed or measured without changing the chemical composition of the substance. The boiling point of ethanol refers to the temperature at which ethanol changes from a liquid to a gas phase. The density of neon gas refers to the mass per unit volume of neon gas. The conductivity of aluminum wire refers to its ability to conduct electric current.

The condensation of steam is the transition of steam, which is a gas, into liquid water. The tarnishing of silver refers to the chemical reaction of silver with substances in the environment, resulting in a change in its appearance. The melting point of gold refers to the temperature at which gold transitions from a solid to a liquid. The combustion of butane gas is a chemical reaction where butane reacts with oxygen to produce carbon dioxide and water vapor.

The boiling point of ethanol, the density of neon gas, the conductivity of aluminum wire, the condensation of steam, the tarnishing of silver, the melting point of gold, and the combustion of butane gas are examples of physical properties because they can be observed or measured without altering the chemical composition of the substances involved.

To know more about ethanol, visit

https://brainly.com/question/20814130

#SPJ11

Challenge Problem Half-Life You are helping out in a research lab for the summer;and you bring] backa sample of wood from an archaeological dig: You end up using = a mass spectrometer to determine the fraction of 1*C atoms relative to the number of 12C atoms; For every 100 "Catoms there are LOx 1015 "2C atoms in your sample You tellyour boss thatyou can determine how old this wood sample Isand she is impressed so you get a raisel How wood sample? old is the'

Answers

The wood sample is estimated to be approximately 5730 years old based on the half-life of 14C.

The ratio of 14C atoms to 12C atoms can be used to determine the age of organic materials through a process called radiocarbon dating. The half-life of 14C is approximately 5730 years, which means that after 5730 years, half of the original 14C atoms will have decayed.

In the given scenario, the ratio of 14C atoms to 12C atoms is 10^15 to 100. This means that for every 10^15 14C atoms, there are 100 12C atoms. Since the ratio of 14C to 12C is directly proportional to the age of the sample, we can set up a proportion:

(10^15/100) = (1/2)^n

Where 'n' represents the number of half-lives that have passed.

Simplifying the equation:

10^13 = (1/2)^n

Taking the logarithm of both sides:

log(10^13) = log((1/2)^n)

13 = n * log(1/2)

n = 13 / log(1/2)

n ≈ 13 / (-0.301)

n ≈ 43.19

Since each half-life corresponds to approximately 5730 years, we multiply the number of half-lives by the half-life period:

43.19 * 5730 ≈ 247,468 years

To know more about Half-Life, visit

https://brainly.com/question/25750315

#SPJ11

Geochemical sampling deals with collecting or taking a small portion of earth’s material and prepare it for chemical studies.

Write about geochemical sampling, collecting and preparation. You should write a report about collecting, sampling and preparation of Soil Sampling.
Write each and every single step in detail. No Plagiarism Please.

Answers

Title: Soil Sampling: Procedures for Geochemical sampling is a fundamental process that involves the collection and preparation of soil samples for chemical studies. This report outlines the step-by-step procedures for collecting, sampling, and preparing soil samples, ensuring accurate and representative data for geochemical analysis.

1. Site Selection:

Choose sampling sites that are representative of the area of interest, considering factors such as soil type, land use, topography, and potential sources of contamination.

2. Equipment Preparation:

Ensure all sampling equipment is clean and free from contaminants. Standard tools include shovels, trowels, sampling augers, sampling bags, and labeling materials.

3. Sample Collection:

Determine the desired sampling depth based on research objectives, typically ranging from topsoil (0-15 cm) to subsoil (15-30 cm) or deeper.

4. Sample Documentation:

Accurate record-keeping is essential. Document sampling location, date, sampling depth, and site-specific observations.

5. Sample Storage and Transportation:

Store soil samples in a cool, dry place to prevent microbial activity and moisture loss.

6. Sample Preparation for Analysis:

Allow samples to equilibrate to room temperature in the laboratory.

Learn more about Soil Sampling here: brainly.com/question/14748003

#SPJ11

Negative ions, designated by the notation (OH ), are always present in any acid or base. The concentration. [OH"] of these ions is related to H by the equation OH H = 10-14 moles per liter. Find the concentrations of OH and Hlin moles per liter for the substances with the following pH value pH = 7.8 The concentration of [H] is moles per liter. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to two decimal places as needed) The concentration of [CH] is moles per liter (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to two decimal places as needed)

Answers

Negative ions, designated by the notation (OH ), are always present in any acid or base. The concentration. [OH"] of these ions is related to H by the equation OH H = 10-14 moles per liter.

Find the concentrations of OH and Hl in moles per liter for the substances with the following pH value pH = 7.8

The pH of a solution is given by the expression:[tex]pH = -log[H+],[/tex]

where [H+] is the hydrogen ion concentration in mol/L.

To find the concentration of [H], we use the equation:

pH = -log[H+]7.8

= -log[H+]H+

= 10^-7.8H+

= 1.58 x 10^-8 moles per liter

Now, let's find the concentration of [OH-] by using the formula:

OH- H+ = 10^-14[H+]

= 1.58 x 10^-8OH- (1.58 x 10^-8)

= 10^-14OH-

= (10^-14) + (1.58 x 10^-8)OH-

= 1.0000000000000158 x 10^-14 moles per liter

OH- = 1.00 x 10^-14 moles per liter (rounded to two decimal places)

Concentration of [H] is 1.58 × 10⁻⁸ moles per liter and the concentration of [OH] is 1.00 × 10⁻¹⁴ moles per liter.

To learn more about acid visit;

https://brainly.com/question/29796621

#SPJ11

The atomic mass of lithium-6 is 6.0151 amu and the atomic mass of lithium-7 is 7.0160 amu. What is the natural abundance of lithium-6?

The weighted average atomic mass of Li is 6.941 amu. Give your answer as a percentage value (i.e., if you calculate the fractional abundance to be 0.100, give your answer as 10.0%).

Answers

The atomic mass of lithium-6 is 6.0151 amu and the atomic mass of lithium-7 is 7.0160 amu. The natural abundance of lithium-6 is 92.6%.

To find the natural abundance of lithium-6, we need to first calculate the fractional abundance of each isotope. Let x be the fractional abundance of lithium-6, then the fractional abundance of lithium-7 is 1-x.

Using the formula of weighted average atomic mass, we get the following expression:

Li-6 * x + Li-7 * (1-x) = 6.941

Substituting the atomic masses, we get:

6.0151x + 7.0160(1-x) = 6.941

Simplifying:

6.0151x + 7.0160 - 7.0160x

= 6.9410.999 x

= 0.9259x

= 0.926 (rounded to 3 decimal places)

Therefore, the fractional abundance of Li-6 is 0.926 and the fractional abundance of Li-7 is 0.074. The natural abundance of lithium-6 is the fractional abundance of Li-6 expressed as a percentage:

0.926 * 100% = 92.6%

Therefore, the natural abundance of lithium-6 is 92.6%.

To know more about atomic mass refer to:

https://brainly.com/question/30390726

#SPJ11

the electron configuration of ne is:
a. 1s 22s 22p 6 3s
b. 1s 22s 22p 6
c. 1s 12s 12p 3
d. 1s 22s 22p 5
e. 1s 22s 22p 33s 2

Answers

Answer: b. 1s2 2s2 2p6

Explanation: Based on its place in the periodic table. H and He give us 1s2, Li and Be 2s2, and B C N O F Ne gives us 2p6.

A reaction between liquid reactants takes place at 10.0°C in a sealed, evacuated vessel with a measured volume of 5.0L . Measurements show that the reaction produced 13.g of sulfur hexafluoride gas. Calculate the pressure of sulfur hexafluoride gas in the reaction vessel after the reaction. You may ignore the volume of the liquid reactants. Round your answer to 2 significant digits.

Answers

The pressure of sulfur hexafluoride gas in the reaction vessel after the reaction is approximately 3.2 atm.

To calculate the pressure of sulfur hexafluoride gas in the reaction vessel, we need to use the ideal gas law equation:

PV = nRT

Where:

P = pressure (in atm)

V = volume (in L)

n = number of moles

R = ideal gas constant (0.0821 L·atm/(mol·K))

T = temperature (in Kelvin)

First, let's convert the given temperature from Celsius to Kelvin:

T = 10.0°C + 273.15

= 283.15 K

Next, we need to determine the number of moles of sulfur hexafluoride gas (SF6) produced. We can use the molar mass of SF6 to convert the given mass into moles:

molar mass of SF6 = 32.06 g/mol + (6 * 19.00 g/mol)

= 146.06 g/mol

moles of SF6 = mass / molar mass

= 13.0 g / 146.06 g/mol

≈ 0.089 moles

Now we can substitute the values into the ideal gas law equation:

P * 5.0 L = 0.089 moles * 0.0821 L·atm/(mol·K) * 283.15 K

P * 5.0 = 0.089 * 0.0821 * 283.15

P ≈ (0.089 * 0.0821 * 283.15) / 5.0

P ≈ 3.2 atm (rounded to 2 significant digits)

Therefore, the pressure of sulfur hexafluoride gas in the reaction vessel after the reaction is approximately 3.2 atm.

To know more about Pressure, visit

brainly.com/question/24719118

#SPJ11

Which of the following is associated with the Calvin-Benson cycle?
A) acetyl-CoA
B) TMAO
C) RuBP
D) FADH2
E) PABA

Answers

The correct answer associated with the Calvin-Benson cycle is C) RuBP (ribulose-1,5-bisphosphate).

The Calvin-Benson cycle, also known as the light-independent reactions or the dark reactions, is a series of biochemical reactions that occur in the stroma of chloroplasts during photosynthesis. Its primary function is to fix carbon dioxide and synthesize glucose. During the Calvin-Benson cycle, the enzyme Rubisco (ribulose-1,5-bisphosphate carboxylase/oxygenase) catalyzes the carboxylation of RuBP, resulting in the formation of an unstable six-carbon compound. This compound immediately splits into two molecules of 3-phosphoglycerate (3-PGA), which are then converted into other molecules through a series of enzyme-catalyzed reactions. The cycle regenerates RuBP in the process, allowing the cycle to continue. Acetyl-CoA is associated with the citric acid cycle (Krebs cycle), TMAO (trimethylamine N-oxide) is involved in osmoregulation, FADH2 is a carrier molecule in cellular respiration, and PABA (para-aminobenzoic acid) is a vitamin precursor. These compounds are not directly involved in the Calvin-Benson cycle. The correct answer is C) RuBP.

for more questions on Calvin
https://brainly.com/question/29871204
#SPJ8

an amount of 98.6 g of nacl is dissolved in enough water to form 875 ml of solution. estimate the mass % of the solution (the density of the solution is 1.06 g/ml). a) 11.3% b) 12.7% c) 9.4% d) 10.6% e) 11.9%

Answers

Density of solution = 1.06 g/mL

Therefore, mass of 875 mL of solution = 875 * 1.06 = 927.5 g

Given mass of NaCl in the solution = 98.6 g

Therefore, the percentage by mass of the solution = (mass of NaCl / mass of solution) × 100= 98.6 / 927.5 × 100 = 10.63 % ≈ 10.6 %

Hence, option d is the correct answer.

An amount of 98.6 g of NaCl is dissolved in enough water to form 875 mL of solution. The mass of the solution is 927.5 g. The percentage by mass of the solution is 10.6 %. Therefore, the correct option is d.

To know more about NaCl visit:

brainly.com/question/14296102

#SPJ11

Using the equation to calculate the quotient [A]/[HA] at three different pH values.

pH = 4.424

[A-]

0.4315

[HA]

Incorrect

pH = 4.874

[A] [HA] =

1

pH = 5.283

[A

[HA]

3.7325

Incorrect

Answers

[A]/[HA] at pH = 4.424 is 0.255; at pH = 4.874 is 1; and at pH = 5.283 is 7.904 x 10^-1.

The equation for calculating the quotient [A]/[HA] is [A-] / [HA] = 10^(pKa - pH), where [A-] is the concentration of conjugate base and [HA] is the concentration of weak acid.

Here are the calculations for each pH value: pH = 4.424:[A-] / [HA] = 10^(4.874 - 4.424) = 0.255pH = 4.874:[A-] / [HA] = 10^(4.874 - 4.874) = 1pH = 5.283:[A-] / [HA] = 10^(4.874 - 5.283) = 7.904 x 10^-1.

Therefore, at pH = 4.424, [A]/[HA] is 0.255; at pH = 4.874, [A]/[HA] is 1; and at pH = 5.283, [A]/[HA] is 7.904 x 10^-1.

Learn more about pH value here:

https://brainly.com/question/28580519

#SPJ11

in which type of chemical bonding are electrons shared between adjacent atoms?
a. ionic bonding
b. covalent bonding
c. metallic bonding
d. hydrogen bonding

Answers

b. covalent bonding, is the type of chemical bonding where electrons  are shared between adjacent atoms.

In covalent bonding, electrons are shared between adjacent atoms. Covalent bonding occurs when atoms share electrons to achieve a more stable electron configuration, typically by filling their outermost electron shells. In a covalent bond, two or more atoms share pairs of electrons, forming a bond between them. This shared electron pair creates a strong electrostatic attraction that holds the atoms together, forming a molecule. Ionic bonding (option a) involves the transfer of electrons from one atom to another, resulting in the formation of positive and negative ions. Metallic bonding (option c) occurs in metals where a "sea" of delocalized electrons is shared among a lattice of positively charged metal ions. Hydrogen bonding (option d) is a special type of interaction that occurs between a hydrogen atom bonded to an electronegative atom (such as oxygen, nitrogen, or fluorine) and another electronegative atom. Therefore, the correct answer is b. covalent bonding.

for more questions on covalent
https://brainly.com/question/3447218
#SPJ8

In a 1-L beaker, 203 mL of 0.307 M ammonium chromate was mixed with 137 mL of 0.269 M chromium(III) nitrite to produce ammonium nitrite and chromium(III) chromate. Write the balanced chemical equation for the reaction occurring here. If the percent yield of the reaction was 88.0%, how much chromium(III) chromate was isolated?

Answers

The balanced chemical equation for the reaction occurring here is 3 NH4 2CrO4 (aq) + 2 Cr(NO2)3 (aq) → 3 (NH4)2NO3 (aq) + 3 Cr2CrO4 (s).

The reaction between ammonium chromate and chromium (III) nitrite produces ammonium nitrite and chromium (III) chromate. The balanced chemical equation is shown below.3 NH4 2CrO4 (aq) + 2 Cr(NO2)3 (aq) → 3 (NH4)2NO3 (aq) + 3 Cr2CrO4 (s). Given, Initial moles of ammonium chromate = 0.307 mol/L x 0.203 L = 0.062461 mol. Initial moles of chromium (III) nitrite = 0.269 mol/L x 0.137 L = 0.036853 mol.

From the balanced chemical equation, one mole of ammonium chromate produces one mole of chromium (III) chromate. Therefore, 0.062461 mol of ammonium chromate will produce 0.062461 mol of chromium (III) chromate. Theoretical yield of chromium (III) chromate = 0.062461 mol. Percent yield = 88.0%.

Actual yield = Percent yield x Theoretical yield= 0.88 x 0.062461 = 0.054934 mol. The mass of chromium (III) chromate is calculated using its molar mass. The molar mass of Cr2CrO4 is 279.84 g/mol. Mass of chromium (III) chromate = 0.054934 mol x 279.84 g/mol= 15.375 g (rounded off to three significant figures). Therefore, the amount of chromium (III) chromate isolated was 15.375 g.

Learn more about Percent yield here:

https://brainly.com/question/31109741

#SPJ11

which one of the following particles would tend to have the smallest de broglie wavelength if they travel at the same speed?
A - Proton
B - Photon
C - Alpha-particle
D - Neutron

Answers

The photon would tend to have the smallest de Broglie wavelength if they all travel at the same speed.

The de Broglie wavelength (λ) of a particle is inversely proportional to its momentum (p), given by the equation λ = h/p, where h is Planck's constant. The momentum of a photon is given by its energy divided by the speed of light, which means photons, being massless particles, have momentum solely determined by their energy.

Since photons have the highest energy among the given particles, they would have the smallest de Broglie wavelength. Photons are particles of electromagnetic radiation, such as visible light or X-rays. They have no rest mass and travel at the speed of light in vacuum.

On the other hand, protons, alpha particles, and neutrons have mass and are subject to the principles of classical mechanics. Although their speeds may be the same, their larger masses would result in larger momenta and, consequently, larger de Broglie wavelengths compared to photons.

To learn more about de Broglie wavelengths click here

brainly.com/question/30404168

#SPJ11

Consider the autoionization of water at 25°C.
H2O(l)H+(aq) + OH -(aq) Kw = 1.0010-14
(a) CalculateG° for this process at 25°C.
WebAssign will check your answer for the correct number of significant figures.
(b) At 40.°C, Kw = 2.9210-14. CalculateG° at 40.°C.

Answers

Please give brainlist if you find it helpful

Gibbs free energy (G°) is a thermodynamic quantity that can be used to predict the spontaneity of a reaction. It is defined as G° = -RTlnK, where R is the gas constant, T is the temperature in kelvins, and K is the equilibrium constant.

For part (a) of your question, at 25°C (which is equivalent to 298.15 K), the value of G° for the autoionization of water can be calculated as follows:

G° = -RTlnKw

= -(8.314 J/mol·K)(298.15 K)ln(1.00×10^-14)

= 79.9 kJ/mol

For part (b) of your question, at 40°C (which is equivalent to 313.15 K), the value of G° for the autoionization of water can be calculated as follows:

G° = -RTlnKw

= -(8.314 J/mol·K)(313.15 K)ln(2.92×10^-14)

= 83.6 kJ/mol

(a) Autoionization of Water:In the autoionization of water, two water molecules react to produce a hydroxide ion (OH-) and a hydronium ion (H3O+), as shown:H2O(l) + H2O(l) ⇌ H3O+(aq) + OH-(aq)At 25°C, the equilibrium constant Kw is 1.0 × 10-14. Therefore, the standard Gibbs free energy change for the autoionization of water at 25°C is 74.2 kJ/mol.

Gibbs free energy change for the reaction can be calculated using the following equation:ΔG° = - RT ln KwWhere, ΔG° = standard Gibbs free energy changeR = universal gas constant = 8.314 J K-1 mol-1T = temperature in KelvinKw = ion-product constant = [H+][OH-] = 1.0 × 10-14Thus,ΔG° = - (8.314 J K-1 mol-1) × (298 K) × ln (1.0 × 10-14) = 74.2 kJ/molTherefore, the standard Gibbs free energy change for the autoionization of water at 25°C is 74.2 kJ/mol.

(b) At 40°C, the ion-product constant Kw is 2.9 × 10-14.ΔG° at 40°C can be calculated using the same formula. Thus,ΔG° = - (8.314 J K-1 mol-1) × (313 K) × ln (2.9 × 10-14) = 72.6 kJ/molTherefore, the standard Gibbs free energy change for the autoionization of water at 40°C is 72.6 kJ/mol.

To know more about Gibbs free energy visit :

brainly.com/question/29753420

#SPJ11

An earthworm is not kept in the phylum aschelminthes.​

Answers

The statement that an earthworm is not kept in the phylum Aschelminthes is correct.

The phylum Aschelminthes, also known as Nemathelminthes or roundworms, is a now-obsolete taxonomic grouping that was used in the past to classify various worm-like organisms. However, advancements in molecular biology and phylogenetic studies have led to significant changes in the classification of organisms.Earthworms belong to the phylum Annelida, which includes segmented worms. Annelids are characterized by their elongated, segmented bodies, which differentiate them from roundworms. Earthworms have a highly organized body plan, with distinct segments, a closed circulatory system, and a specialized excretory system called metanephridia.

They play important ecological roles, such as soil aeration, nutrient cycling, and serving as a food source for other organisms.The classification of organisms is a dynamic field that evolves as new scientific evidence emerges. The reclassification of earthworms from Aschelminthes to Annelida reflects our improved understanding of their evolutionary relationships and anatomical features.

for such more questions on phylum

https://brainly.com/question/436187

#SPJ8

hydration is a special case of solvation in which the solvent is water T/F

Answers

True. Hydration is indeed a special case of solvation in which the solvent is water. Solvation refers to the process of surrounding solute particles with solvent particles to form a solution. When the solvent involved in the solvation process is water, it is specifically called hydration.

Water is an excellent solvent due to its unique molecular structure, which is polar. It has a partial positive charge on the hydrogen atoms and a partial negative charge on the oxygen atom. This polarity allows water molecules to interact with solute particles through hydrogen bonding and electrostatic interactions. During hydration, water molecules surround the solute particles, forming solute-water interactions. The positive regions of water molecules (hydrogen atoms) are attracted to negatively charged solute particles, while the negative regions of water molecules (oxygen atom) are attracted to positively charged solute particles. Hydration plays a crucial role in many chemical and biological processes. For example, in biological systems, hydration is essential for the dissolution and transportation of ions, proteins, and other biomolecules in aqueous environments. It also affects the solubility and reactivity of substances in water-based solutions.

for more questions on Hydration
https://brainly.com/question/11112492
#SPJ8

4. can a gas ever have zero volume? what conditions would it take to create that situation? use one of the gas laws to support your hypothesis.

Answers

No, a gas can never have zero volume. Even if it has no pressure and the lowest possible temperature (-273.15°C), it will still occupy some space.

A gas is a state of matter that lacks a fixed shape and volume, meaning that it can change shape and occupy the entire volume of its container. Furthermore, its molecules are spaced out and move quickly, freely, and randomly in all directions.Gas law to support the hypothesis

As per Gay-Lussac's Law of Gases, there are no gases with zero volume. According to the law, when the volume of a gas is decreased at a constant temperature, its pressure increases proportionally. It implies that the gas molecules cannot be compressed into a zero-volume state. Even when subjected to the lowest possible temperature and pressure, the gas particles will still occupy some space.

The temperature of the gas would have to be reduced to absolute zero (-273.15°C), which is unattainable, to come close to zero volume.

To learn more about gas visit;

https://brainly.com/question/14812509

#SPJ11

what happens when energy is changed from one form to another? aa physical change to a substance occurs. bsome of the energy is lost entirely. call of the energy can be accounted for. dall of the energy is changed to a useful form.

Answers

When energy is changed from one form to another, some of the energy is lost entirely. However, a portion of the energy is usually transformed into a non-usable form, making the energy less efficient, such as when heat is wasted in thermal engines.

When energy is changed from one form to another, some of the energy is lost entirely is the right option out of the given options. Energy cannot be created or destroyed; it can only be converted from one form to another, according to the first law of thermodynamics.The energy is lost due to various reasons, such as friction, sound, heat, light, and radiation, among others. No conversion is 100 percent efficient; therefore, there is always some loss in the conversion process.Although not all the energy can be accounted for, some of it can be transformed into a usable form, depending on the desired outcome.

To know more about energy visit:

https://brainly.com/question/1932868

#SPJ11

4PH3(g) --> P4(g) + 6H2(g)

The average rate of consumption of PH3 is 0.048 M/s. Based on this average rate, what amount of P4 would be collected in 4.00 minutes in a 15.0 L container?

A. 173 moles

B. 43.2 moles

C. 86.4 moles

D. 692 moles

E. 346 moles

Answers

The amount of P4 collected in a 15.0 L container in 4.00 minutes is 86.4 moles. The correct answer is option(c).

The balanced equation for the reaction of 4PH3(g) --> P4(g) + 6H2(g).

Given, the average rate of consumption of PH3 is 0.048 M/s. We need to determine the amount of P4 that would be collected in 4.00 minutes in a 15.0 L container. To determine the amount of P4 formed, we will use the formula:

Rate = -(1/a) (Δ[A]/Δt)

Here, a is the stoichiometric coefficient of PH3, which is 4. The negative sign indicates that the reactant is being consumed and not produced.

According to the balanced equation, the stoichiometric ratio of PH3 to P4 is 4:1. This means that for every 4 moles of PH3 consumed, 1 mole of P4 is formed. Therefore, the rate of formation of P4 is calculated as follows:

Rate = (1/4) (Δ[P4]/Δt)

The volume of the container is given as 15.0 L. However, the volume is not required in this calculation because the rate is given in terms of concentration (M/s). Since the average rate of consumption of PH3 is 0.048 M/s, the rate of formation of P4 is calculated as follows:

Rate = (1/4) (0.048 M/s) = 0.012 M/s

To determine the amount of P4 formed in 4.00 minutes, we will use the formula: n = C × V

where n is the number of moles, C is the concentration in moles per liter (M), and V is the volume in liters (L).

We know that the rate of formation of P4 is 0.012 M/s. The concentration is given by the stoichiometry of the reaction, which is 1 mole of P4 for every 4 moles of PH3 consumed.

The concentration of P4 is therefore (1/4) × (0.048 M/s)

= 0.012 M/s.n = C × V = (0.012 M/s) × (4 min × 60 s/min) = 2.88 moles

However, the question asks for the amount of P4 in a 15.0 L container. Since we know the volume of the container, we can convert the number of moles to the required volume.

n = C × V = (0.012 M/s) × (4 min × 60 s/min) × (15.0 L) = 86.4 moles.

Therefore, the amount of P4 collected in a 15.0 L container in 4.00 minutes is 86.4 moles.

To know more about moles refer to:

https://brainly.com/question/29367909

#SPJ11

current concentration of co2 in the atmosphere is _______ according to the keeling graph.

Answers

Answer:

416 ppmv till 2021.

Explanation:

In aggregate, the Keeling Curve shows an annual rise in atmospheric CO2 concentrations. The curve shows that average concentrations have risen from about 316 ppmv of dry air in 1959 to approximately 370 ppmv in 2000 and 416 ppmv in 2021.

The current concentration of CO2 in the atmosphere is approximately 412 ppm (parts per million) according to the Keeling graph. The Keeling graph is a graph that displays the concentration of atmospheric CO2 over time.

It was created by Charles David Keeling, an American climate scientist who began monitoring atmospheric CO2 in 1958 at the Mauna Loa Observatory in Hawaii.The graph shows a steady increase in CO2 concentrations over time, with an average increase of around 2 ppm per year. This increase is due to the burning of fossil fuels and other human activities that release large amounts of CO2 into the atmosphere. As CO2 concentrations continue to rise, it is causing the Earth's climate to change, resulting in rising temperatures, melting glaciers, and other impacts on the environment. In order to slow down this trend and prevent the worst impacts of climate change, it is important to reduce our greenhouse gas emissions and transition to cleaner sources of energy.

To know more about Keeling graph visit :

brainly.com/question/29488441

#SPJ11

the amino acid serine has a backbone made out of amino group and a carboxyl group. its r group has a hydroxyl group. which of the following better represents the structure of this amino acid at neutral ph?

Answers

To better represent the structure of serine at neutral pH, we can depict it as follows:

          H

          |

   H₃N⁺ — C — COO⁻

          |

          OH

At neutral pH, the amino acid serine exists in its zwitterionic form, where the amino group is protonated (NH₃⁺) and the carboxyl group is deprotonated (COO⁻). This results in an overall neutral charge for the molecule. In this structure, the amino group (NH₃⁺) is shown with an additional hydrogen (H) attached to it, representing its protonated state. The carboxyl group (COO⁻) is depicted as deprotonated with a negative charge. The R-group of serine, which is a hydroxyl group (-OH), remains the same. It's important to note that at neutral pH, the specific arrangement and bond angles may differ due to the three-dimensional nature of the molecule.

for more questions on pH
https://brainly.com/question/12609985
#SPJ8

The vapor pressure of pure water at 110 degree C is 1070 torr. A solution of ethylene glycol and water has a vapor pressure of 1.00 atm at 110 degree C. Assuming that Raoult's law is obeyed, what is the mole fraction of ethylene glycol in the solution?

Answers

Raoult's law states that the partial vapor pressure of a component of an ideal mixture is equal to the vapor pressure of the pure component multiplied by its mole fraction.

According to Raoult's law, the vapor pressure of a solution containing ethylene glycol and water can be calculated using the following equation:

Total vapor pressure of the solution = (vapor pressure of pure water) x (mole fraction of water) + (vapor pressure of pure ethylene glycol) x (mole fraction of ethylene glycol)

The vapor pressure of pure water at 110°C is 1070 torr. The mole fraction of ethylene glycol can be calculated using the fact that the total vapor pressure of the solution is 1.00 atm.

Therefore, the mole fraction of ethylene glycol in the solution is:

mole fraction of ethylene glycol = (total vapor pressure of the solution - vapor pressure of pure water) / (vapor pressure of pure ethylene glycol - vapor pressure of pure water)

mole fraction of ethylene glycol = (1.00 atm - 1070 torr) / (60.3 torr - 1070 torr)

mole fraction of ethylene glycol = -0.00012

The negative value of the mole fraction of ethylene glycol is impossible. Therefore, there must be an error in the data or calculations. Without knowing the exact error, it is impossible to provide a correct mole fraction of ethylene glycol in the solution.

To know more about Raoult's law visit:

brainly.com/question/2253962

#SPJ11

the chemical potential energy of bond a is greater than the chemical potential energy of bond b. which statement best explains this observation?

Answers

The reason for the chemical potential energy of bond a is greater than the chemical potential energy of bond b is because the bond a has a greater amount of bond energy than bond b. The bond energy is the energy required to break a bond between two atoms.

The energy is absorbed when the bond is broken and released when the bond is formed. Bond energy is a measure of how strong a bond is. The stronger the bond, the higher the bond energy. Energy is required to break chemical bonds, which are the bonds that hold atoms together in molecules. Chemical potential energy is the energy that is stored in chemical bonds. This energy can be released when the bonds are broken. The amount of energy that is stored in a bond is called the bond energy. Bond energy is a measure of how strong a bond is. The stronger the bond, the higher the bond energy.The reason for the chemical potential energy of bond a is greater than the chemical potential energy of bond b is because the bond a has a greater amount of bond energy than bond b. This means that more energy is required to break the bond a than to break the bond b. When the bond a is broken, more energy is released than when the bond b is broken. This is because the bond a is stronger than the bond b. The stronger the bond, the more energy is required to break it and the more energy is released when it is broken.

In conclusion, the chemical potential energy of bond a is greater than the chemical potential energy of bond b because the bond a has a greater amount of bond energy than bond b. The bond energy is a measure of how strong a bond is. The stronger the bond, the higher the bond energy. More energy is required to break the bond a than to break the bond b. When the bond a is broken, more energy is released than when the bond b is broken. This is because the bond a is stronger than the bond b.

To know more about bond energy visit:

brainly.com/question/26662679

#SPJ11

which of the following elements behaves chemically similarly to silver? a. gold b. nickel c. beryllium d. iron

Answers

The element that behaves chemically similarly to silver is gold (option a). Gold and silver are both transition metals located in the same group of the periodic table, Group 11, which is also known as the coinage metals or copper group.

Elements in this group tend to exhibit similar chemical properties due to the presence of a single valence electron in their outermost energy level. Gold and silver have similar electronic configurations, with one electron in their outermost s orbital. This similarity in electron configuration leads to comparable chemical behavior, such as the formation of similar compounds and exhibiting similar reactivity patterns. Both gold and silver are known for their resistance to corrosion, malleability, and high electrical conductivity.

They also form alloys with each other and with other metals, further indicating their chemical similarity. In contrast, nickel (option b), beryllium (option c), and iron (option d) do not exhibit the same chemical behavior as silver. Nickel belongs to Group 10, beryllium to Group 2, and iron to Group 8, which are different from Group 11 where silver and gold are located. Therefore, among the given options, gold is the element that behaves chemically similarly to silver.

Learn more about coinage metals here: brainly.com/question/31161214

#SPJ11

One Method For Making Ethanol, C2H5OH, Involves The Gas-Phase Hydration Of Ethylene, C2H4:Estimate For This Reaction From The Given Average Bond Dissociation Energies,
One method for making ethanol, C2H5OH, involves the gas-phase hydration of ethylene, C2H4:
Estimate\Delta Hfor this reaction from the given average bond dissociation energies,

Answers

The estimated enthalpy change for the gas-phase hydration of ethylene to form ethanol is approximately -235 kJ/mol, indicating that the reaction is exothermic.

To estimate the enthalpy change (\(\Delta H\)) for the gas-phase hydration of ethylene (C2H4) to form ethanol (C2H5OH), we can use the concept of bond dissociation energies.

The reaction can be represented as follows:

C2H4 + H2O -> C2H5OH

We need to calculate the energy required to break the bonds in ethylene and water, as well as the energy released when the new bonds are formed in ethanol.

Given average bond dissociation energies (in kilojoules per mole):

C-C bond in ethylene (C2H4): 612 kJ/mol

C-H bond in ethylene (C2H4): 413 kJ/mol

O-H bond in water (H2O): 463 kJ/mol

C-O bond in ethanol (C2H5OH): unknown

To estimate \(\Delta H\) for the reaction, we need to sum up the bond dissociation energies for the bonds broken and subtract the energies for the bonds formed:

(\Delta H = \sum \text{Energy for bonds broken} - \sum \text{Energy for bonds formed}\)

For ethylene, two C-H bonds are broken (2 * 413 kJ/mol) and one C-C bond is broken (612 kJ/mol). For water, one O-H bond is broken (463 kJ/mol). For ethanol, one O-H bond is formed (unknown) and three C-H bonds are formed (3 * 413 kJ/mol).

Let's assume the energy required to break the C-O bond in ethanol is similar to the C-O bond energy in formaldehyde (H2CO), which is around 351 kJ/mol.

(\Delta H = (2 * 413 kJ/mol) + 612 kJ/mol + (463 kJ/mol) - (351 kJ/mol + 3 * 413 kJ/mol)\)

(\Delta H = -235 \text{ kJ/mol}\)

Therefore, the estimated enthalpy change for the gas-phase hydration of ethylene to form ethanol is approximately -235 kJ/mol, indicating that the reaction is exothermic.

for more questions on enthalpy
https://brainly.com/question/14047927
#SPJ8

Which of the following is the correct reaction for enthalpy of formation of ozone at 25 °C?
A. O2(g) + O(g) → O3(g)
B. 3/2O2(g) → O3(g)
C. O(g) + O(g) +O(g) → O3(g)
D. 3O2(g) → 2O3(g)
E. O3(g) → O3(g

Answers

The correct reaction for the enthalpy of formation of ozone at 25 °C is D. 3O2(g) → 2O3(g).

The reaction D represents the formation of ozone (O3) from molecular oxygen (O2) gas. This reaction involves three molecules of O2 combining to form two molecules of O3. The enthalpy of formation is defined as the change in enthalpy when one mole of a substance is formed from its constituent elements in their standard states. In this case, the standard state of oxygen is O2(g), and the standard state of ozone is O3(g).

The reaction D correctly shows the stoichiometry of the formation of ozone, where three molecules of O2 react to produce two molecules of O3. This balanced equation represents the enthalpy change associated with the formation of ozone and is consistent with experimental observations and thermodynamic data.

Learn more about enthalpy here: brainly.com/question/29145818

#SPJ11

Classify the bond as ionic, polar, covalent, or nonpolar covalent, and give the reason.

The NB bond in H2NBCI2- polar covalent

Answers

The bond between nitrogen and boron in the H2NBCl2- molecule can be classified as a polar covalent bond. In a polar covalent bond, the electrons are shared between atoms, but the distribution of electron density is uneven due to the difference in electronegativity between the two atoms.

Nitrogen (N) has a higher electronegativity value compared to boron (B). Electronegativity is a measure of an atom's ability to attract electrons towards itself in a chemical bond. The difference in electronegativity between N and B results in an uneven sharing of electrons, with the nitrogen atom attracting the shared electrons more strongly than the boron atom.As a result, the nitrogen atom acquires a partial negative charge (δ-) due to the increased electron density around it, while the boron atom acquires a partial positive charge (δ+). This charge separation creates a dipole moment within the molecule, making the N-B bond polar.The presence of the chloride ion (Cl-) as a counterion in H2NBCl2- does not significantly affect the polarity of the N-B bond. Chloride ions are relatively electronegative and can form ionic bonds with other atoms, but in this case, the N-B bond remains predominantly covalent with a polar character.

for such more questions on bond

https://brainly.com/question/29794367

#SPJ8

Other Questions
Problem Three. Evaluate (x + y) dxdy where is the parallelogram bounded by the lines 2x + 3y = 1, 2x + 3y - 3 3x - 2y = 0, 3x - 2y = 4. If x, y, z be in HP prove that (y+x)/(y-x)+(y+z)/(y-z) = 2 How much would you pay for a share of stock paying a dividend (cash payout C) of $4 to be paid in one year, a known selling price in one year (P) of 540, and expected return (R) of similar assets of 4%? You would pay $___ (Round your response to the nearest penny) Duy, single, has taxable income of $58,005 in 2021. What is Duy's federal income tax liability? Use the appropriate source for determining tax liability. the topic is: should the Dodd-Frank Act and the Sarbanes-Oxley Act be flexible and change based upon the times or circumstances.briefly summarize the two acts so that when you discuss the second part of the assignment, you can refer to specific parts of the act for reform.Provide an argument for the value in changing these two laws based on times/circumstances. REMEMBER that the topic is: should the Dodd-Frank Act and the Sarbanes-Oxley Act be flexible and change based upon the times or circumstances. The Syphean Company has a bond outstanding with a face value of $5.000 that reaches matarlysnine years. The bond corticale cates that the stated coupon rate for this bond is 5.2% and that the coupon payments are to be made semiannually Asuming that this bond bades $5.569, then the YTM for this A. 65% B. 7.81% C. 52% D. 9.31% in the crossover book, how does Josh feel about his brother being Superman on page 181? You are the owner of Sunrise Nutrition in Toronto and have an opportunity to export your product to South Korea for the first time. Healthy Life is a company in South Korea that is interested in buying Sunrise products for the first time. The first purchase order arrived for $150,000 CAD but payment term has not been discussed or negotiated yet.1) What is your first proposed payment option?2) Will you accept an open account payment for this transaction?3) Healthy life is not accepting an advance payment and is ready to walk away from this business. What would you propose?4) During your payment negotiation, would you evaluate the overall economy, politics, and banking system in South Korea? How does it affect your decision?5) Your final agreement will be based on Documentary Against Acceptance. Complete the bill of exchange in the next page: what is the sum 3/x+9+5/x-9 1. y=logb(2x-6) and b>1 what would the domain be in set builder notation?2. what would be the y-intercept of this graph: f(n)=a^n + b where a is not equal to 1 and a > 0 *ASAP* Could you please solve this as soon as possible?Calculate the cycle length for products A, B and C from thematrix below: Which of the following terms best fits the textbooks definition of destructive leadership?A. The dark side of leadershipB. Toxic leadershipC. Unethical leadershipD. All of these The 15th Amendment to the U.S. Constitution states, "The right of citizens of the United States to vote shall not be denied or abridged by the United States or by any State on account of race, color, or previous condition of servitude (being a slave)."This amendment made it possible forA. individual states to decide who would be able to voteB. the U.S. government to decide who would be able to voteC. anyone who was a citizen to be able to voteD. people who were not citizens to be able to vote eBook Problem 7-06 value of Operations: Constant Growth EMC Corporation has never paid a dividend. Its current free cash flow of $530,000 is expected to grow at a constant rate of 5.6%. The weighted average cost of capital is WACC = 14%. Calculate EMC's estimated value of operations. Round your answer to the nearest dollar. Meaton Ltd [a fictitious company] is an Australian public company with a market capitalisation of about $120 million. The company was established 50 years ago and is well known for its patronage of the arts donating $500 000 every year to the performing arts sector.It is a diversified business with several product divisions. Its core but least profitable division is its leathergoods business which specialises in high-end leather jackets and handbags for both the domestic and export markets under the Snowy River brand and its associated famous tagline, Always hundred percent Australian. An insider once revealed that there is an implied expectation that cast members in certain theatre shows that benefitted from Meatons donations adorn the latest-designed Snowy River apparels & accessories during the plays.The Snowy River range are sourced from Australian leather (kangaroo and sheep skin) tanneries; designed, cut, sewn & finished in Meatons leather-goods factory in Perth. Direct production costs have gradually increased over the years squeezing the profit margin of the leathergoods division. In 2020 it recorded its first loss and had to be supported by Meatons other product divisions. According to analysts the loss was partly responsible for the fall of 7% in Meatons share price in 2021. No dividends were paid in that period as well. Sales revenue has been stable but increasing the price is not an option given the highly competitive markets.Disgruntled shareholders put pressure on the Board of Directors to address the negative return on their investment and even to replace the current CEO, James Meaton who is the founder of the company. The companys 3-year profit forecast is even more dire with a projected loss in the third year amid tough competitive environment. Clearly a major restructuring [of operations] is required especially involving cost reduction.Proposed Snowy River StrategyIn the bid to drastically reduce costs, Meaton could downsize the production department of Snowy River by eliminating the entire cutting-and-sewing workforce of 85 workers and outsourcing the sewing function to an independent contractor based in Melbourne. The contractor is more efficient because it relies on state-of-the-art sewing machineries that only require minimum-waged employees to operate them. The cut-and-sew quality is identical to those of Meatons workers. Its estimated that Meaton could reduce unit production cost by up to 30%.The 85 employees will be retrenched since their positions will be redundant following the proposed operational changes. Meaton will pay their legal retrenchment entitlements in full. The building [and machineries] that houses the sewing section will be sold to further boost the cashflow of the company.Proposed SR brandIntroduce a second-line of jackets & handbags under the SR by Meaton brand as a mid-priced range to boost revenue. Mid-market brands are very common in the fashion business, for example, Giorgio Armanis Emporio Armani and A/X (Armani Exchange) brands. The SR range will be similar to the Snowy River range but the high-quality leather hides will be sourced from, and cut in, China. Meatons Perth factory will sew and finish the jackets and handbags using newly hired minimum-waged workers working alongside their higher paid colleagues. The SR range will carry the Made in Australia label and the tagline Tru Blu Australian. Management is concerned about being silent on the fact that the leather hides will be sourced from China and has consulted: https://acrobat.adobe.com/link/track?uri=urn:aaid:scds:US:595a18fc-9d52-403d-847b39bd6d4b0416 for informal clarification.Requirements:1. IN YOUR OWN WORDS, explain and discuss Carrolls Pyramid of Corporate Social Responsibility (CSR) within the context of the above Meatons case.Hint: Each of the 4 responsibilities must be discussed (or explained) by referring to the case, i.e., as they apply to the case.2. June is a home-based hairdresser for the past 25 years. As a sole proprietor, Junes business has outgrown her home salon where she has to turn away many clients regularly since her salon can only accommodate 3 customers at a time. She has kept the services of three casual hairdressers whom she had trained the past 3 years. Wanting to employ them on a full-time basis, June is considering expanding her salon by leasing a nearby premises. The new salons renovation and shop outfitting will cost a total of $500 000. Her accountant suggested that, instead of borrowing the money, she sets up her new business as a private company, i.e., private limited company or Pty Ltd. Investors/shareholder will be her close family members and herself with an expected return of investment of 10% per year.IN YOUR OPINION, is that is good move? Explain.Also, whats the main disadvantage of such a private company compared with her current sole proprietorship? The employees' union and the management at Pederson Inc. enter into a contract, which requires Pederson to improve its facilities and ensure the safety of its employees. However, a few months later, the employees observe that the conditions have remained the same and that management has not taken any steps to revamp its systems. As a result, the union files a case against Pederson for violating the terms of their contract. In order to resolve this issue, the union and Pederson will both have to participate in a process for resolving conflicts, known as Multiple Choice A. the grievance procedure. B. lockout protocols C. the unionship arrangement D. right to work laws Richter forecasts the following free cash flows (FCFS), which are expected to grow at a constant 5% rate after Year 3. Year 1 Year 2 Year 3 FCF $700 $735 $780a. What is the horizon value of the unlevered operations? Do not round intermediate calculations. Round your answer to the nearest dollar. $ _____ b. What is the total value of unlevered operations at Year 0? Do not round intermediate calculations. Round your answer to the nearest dollar. $ _____ D 89F Sunny Explain the difference between Economic loss and non-economic loss. Positive Tree and Fault Tree Explain the difference between Hazard and Risk. #H O O 99 B Sam's Cat Hotel operates 52 weeks per year, 6 days per week. It purchases kitty litter for $8.00 per bag. The following information is nformation is available about these bags: >Demand 55 bags/week >Order cost-$65/order > Annual holding cost-22 percent of cost > Desired cycle-service level 90 percent Lead time 1 week(s) (6 working days) Standard deviation of weekly demand 4 bags Current on-hand inventory is 275 bags, with no open orders or backorders Suppose that Sam's Cat Hotel uses a P system. The average daily demand, d. is 9 bags (55/6), and the standard deviation of daily demand, 1.633 bags. Refer to the standard normal table for z-values a. What P (in working days) and T should be used to approximate the cost trade-offs of the EOQ? The time between orders, P. should be days. (Enter your response rounded to the nearest whole number) Standard Deviation of Weekly Demand Days per week The inverse of a diagonal matrix is a diag- onal matrix with each element inverted. C 0 0 C2 In other words, if A = ... 0 (1/4 0 then A-1 = 1/C2 1/c, (a) Prove this fact mathematically. (b) Now explain it verbally by saying what effect A and A-1 have as trans- formations of an n-dimensional vector.