Consider the unit cell of aluminum with aluminum ion on every corner and every face-centered site of the cube.

Question
1. Using the value of ionic radius of aluminum ion r=0.143 nm, the length of each edge of the unit cell can be calculated as what nm?
2.Using atomic weight value of aluminum 27.0, the density of aluminum can be calculated as what g/cm^3

Answers

Answer 1

Answer:

1) 0.4045nm

2) 0.0027096117g/cm³

Explanation:

1) Using the value of ionic radius of aluminum ion r=0.143 nm, the length of each edge of the unit cell can be calculated as what nm?

In the question above, using a face centered cubic structure, we have:

For a face centered site of the cube,

The diagonal = 4r

Where r =Atomic or ionic radius of Aluminum

Let the edge length of the cube be represented by X

Therefore, we have based on Pythagoras theorem,

X² + X² = (4r)²

2X² = 16r²

Divide both sides by 2

X² = 8r²

Find the square root of both sides

X = √8 × r

Since r = 0.143nm

The length of each edge of the unit cell can be calculated as

X = √8 × 0.143nm

X = 0.4044650788nm

Approximately = 0.4045nm

2) Using atomic weight value of aluminum 27.0, the density of aluminum can be calculated as what g/cm^3

Density of an object = Mass of the Object / Volume of the Object.

The object in this question = Cube

Step 1

Volume of a cube = (Length of the cube)³

In the question above, side length of the cube = 0.4045nm

When would convert 0.4045nm to centimeters

= 1 nm = 1 × 10^-7 cm

0.4045nm =

Cross multiply

= 4.045 × 10^-7 cm

Volume of the Aluminum cube =(4.045 × 10^-7cm)³

= 6.618439112 ×10^-20cm³

Step 2

The atomic weight value of aluminum is given as 27.0 in the question

A face centered cubic structure has 4 atoms per unit cell.

1 Atomic mass or weight value = 1.6605 × 10^-24 grams

Hence, the mass of Aluminum is calculated as:

(4 atoms /1 cell )× 1 unit × (27/ 1 atom of Aluminium) × (1.6605 × 10^-24g/ 1 Atomic mass value)

= 1.79334 ×10^-22g

Density = Mass/Volume

= 1.79334 ×10^ -22g /6.618439112 ×10^-20cm³

= 0.0027096117g/cm³


Related Questions

Alex is on a special diet and needs to watch her intake of carbohydrates. Her doctor told her to maintain a 1,500 calorie per day diet and to make sure that these come from no more than 20% carbohydrates. She is snacking on pretzels and the nutrition label on the package says that there are 23 grams of carbohydrates per serving, which is 8% of the recommended daily allowance.



How many calories should Alex get from carbohydrates and what percentage of her total recommended intake of carbohydrates in grams is this snack? (1 gram of carbohydrate provides 4 Calories.)

Alex should get 300 Calories from carbohydrates, which is about 75 grams. This snack is 30% of her total grams of carbohydrates per day.
Alex should get 300 Calories from carbohydrates, which is about 33 grams. This snack is almost 70% of her total grams of carbohydrates per day.
Alex should get 300 Calories from carbohydrates, which is about 60 grams. This snack is about 38% of her total grams of carbohydrates per day.
Alex should get 300 Calories from carbohydrates, which is about 75 grams. This snack is 8% of her total grams of carbohydrates per day.

Answers

Answer: Alex should get 300 Calories from carbohydrates, which is about 33 grams. This snack is almost 70% of her total grams of carbohydrates per day.

Answer:

B

Explanation:

I think

the solution of ash of magnisium ribbon is ____​

Answers

Answer:

Alkaline

Explanation:

The solution of ash of magnesium ribbon is alkaline.

Write the balanced equation for the production of oxygen gas and potassium chloride from the decomposition of potassium chlorate.

Answers

Answer:

2KClO₃→3O₂ + 2KCl

Explanation:

When Potassium Chlorate decomposes , the resulting products are oxygen gas and Potassium chloride . As per the equation above

C5H12, pentane, is a liquid at room temperature.
Can we predict from this information whether C4H10, butane, will be a liquid at room temperature?

A)Yes, it will be a liquid since pentane is a liquid.
B)Yes, it will be a liquid since it contains 4 carbon atoms.
C)We cannot be sure unless we find out its boiling point.
D)We cannot be sure unless we get the boiling point of propane, C3H8.

Answers

Answer:

C)We cannot be sure unless we find out its boiling point.

Explanation:

It is necessary to clearly explain here that simply observing two compounds of the same homologous series irrespective of how close they may be in the series will not give us the faintest idea regarding which one will be a liquid, solid or gas at room temperature.

However, to determine whether an unknown substance will be a liquid at room temperature, then its important to measure its boiling point. If the boiling point is above room temperature, and the melting point is below room temperature, the compound is a liquid. If the boiling point of the unknown substance is below room temperature, it is a gas.

It is now safe to conclude that cannot decide on the state of matter in which a compound exists unless we know something about its boiling point, not merely looking closely at the properties of its neighbouring compounds in the same homologous series

which statement describe a species adapting to changes in it’s environment?

Answers

Answer:

c

Explanation:

I would think adapting to changes would be the light moth being in a light trunk of a trees.

Answer:

a

Explanation:

dark colored moths become common after tree trunks become dark took the test.

What is the name of CH3CH2CH2COOH?

Answers

Answer:

Butanoic acid

Explanation:

what is the symbol for sodium chloride?

Answers

The symbol would be NaCL

‏A second - order reaction has a rate constant of 0.06 M min - 1 . It takes min for the reactant concentration to decrease from 0.13 M to 0.088 M. Select one : O a . 73.4 O b . 7.80 O c . 6.50 O d . 61.2

Answers

Answer:

Choice D. Approximately [tex]61.2[/tex] minutes.

Explanation:

The reaction rate of a second-order reaction is proportional to the square of one of its reactants.

Let [tex]y[/tex] denote the concentration of that reactant (in [tex]\rm M[/tex].)Let [tex]t[/tex] denote time (in minutes.)

Let [tex]k[/tex] denote the rate constant of this reaction. Assume that [tex]y_0[/tex] is the concentration of that reactant at the beginning of this reaction (when [tex]t = 0[/tex].) Because this reaction is of second order, it can be shown that:

[tex]\displaystyle y = \frac{1}{k\, t + (1/y_0)}[/tex].

The question states that the rate constant here is [tex]0.06\; \rm M\cdot min^{-1}[/tex]. Hence, [tex]k = 0.06[/tex]. For simplicity, assume that [tex]t = 0[/tex] when the concentration is [tex]0.13\; \rm M[/tex]. Therefore, [tex]y_0 = 0.13[/tex]. The equation for concentration [tex]y[/tex] at time [tex]t[/tex] would become:

[tex]\displaystyle y = \frac{1}{\underbrace{0.06}_{k}\, t + (1/\underbrace{0.13}_{y_0})}[/tex].

The goal is to find the time at which the concentration is [tex]0.088[/tex]. That's the same as solving this equation for [tex]t[/tex], given that [tex]y = 0.088[/tex]:

[tex]\displaystyle \frac{1}{0.06\; t + (1/0.13)} = 0.088[/tex].

[tex]t \approx 61.2[/tex].

In other words, it would take approximately [tex]61.2[/tex] minutes before the concentration of this second-order reactant becomes [tex]0.088\; \rm M[/tex].

Purple Group Header Warm-Up Why can I smell a chocolate bar even though it is a solid? Read the description of the office mystery and write your prediction below. On a warm afternoon, a Universal Space Agency office worker returned from lunch break and noticed the office smelled like chocolate. She didn't see anything in the air, but she noticed her coworker was opening the wrapper of a solid bar of chocolate. Why can the office worker smell the chocolate bar even though it is in solid form?

Answers

Answer:

The smell of a chocolate is from the presence of volatile compounds present in the chocolate bar which at room temperature readily changes phase from solid to liquid to vapor or gas

Explanation:

There are nearly 600 identified compounds present in a chocolate bar and out of these, there are volatile components which gives the chocolate bar its distinctive aroma.

These volatile chocolate contents readily change phase from solid to vapor, with very short duration liquid phase.

For example, 3 methylbutanal, vanillin, and several organic compounds which are known to be readily volatile.

State two characterstics of matter demostred
by
Diffusion
.) Brownian mation​

Answers

For diffusion, it could be: particles have inter- particle spaces between them, particles of matter attract each other, which is the strongest in the case of a solid, little less in liquids, and least in gases, and states of matter that are packed tightly together diffuse slowly.
For Brownian motion, it could be: particles have spaces between them, particles are incredibly small, and that particles are always, continuously moving.

Hope this helps!

What is the general formula for the homologous series that includes ethene?

Answers

Answer:

See below

Explanation:

The common formula of the same alkene series is CnH2n, where n is the quantity of atoms of carbon. Owing to the hydrocarbons of alkenes with at least one double carbon relation, the alkene-like sequence starts with ethen C2H4.

Hope this helps.

The general formula for the homologous series which includes ethene is alkenes.

Alkenes

They are homologous series with the general formula CxH2x.

Where:

x = number of carbon atoms.

Examples are methene with one carbon atom: CH2

Ethene with 2 carbon atoms: C2H4

Propene with 3 carbon atoms: C3H6

More on alkenes can be found here: https://brainly.com/question/7337516

The pH of a solution is 2.0. Which statement is correct?



Useful formulas include [H30+1 = 1070F, FOH-7-10 +0H, PH+pOH = 14, and [H30 [0H-]- 10-14

Answers

Answer:

pH + pOH = 14,  [H₃0⁺] [0H⁻] = 10⁻¹⁴

Explanation:

When it comes to questions involving pH, the equations used are;

[H₃0⁺] [0H⁻] = 10⁻¹⁴

This equation shows the concentration of hydroxonium ions alongside that of the hydroxide ions.

pH + pOH = 14

If the value of either the pH of the pOH is know,one can calculate the value of the other using this equation.

Answer:

The answer is A. The pOH of the solution is 12.0

Explanation:

The formula for pOH is:

pOH = 14 - pH

We know that the pH value is 2.0 so we plug it in the equation:

pOH = 14 - (2.0)

After simplifying it, we get an answer of 12.0 which is the pOH value.

Hope this helps!

I. Plant cells are formed from fertile soil. II. Cells must function properly for an organism to be healthy III.Cells make up the petals, stem, and leaves of a lily plant. IV. Bacteria are produced from other living bacteria. Which describes the statements that Schwann and Schleiden would make?

Answers

Answer:

No. 4

Explanation:

Bacteria are produced from pre existing bacteria

A compound contains 46% Sodium, 12% Carbon and 42% Oxygen. The molecular mass of the compound is 106 u. Draft a table with these data and find the Empirical formula and Molecular formula of this compound. Given that atomic masses are Na=23 u, C=12u and O=16u.

Answers

Answer:

Empirical formula is Na₂CO₃

Molecular formula is Na₂CO₃

Explanation:

Percentage compositions of the elements;

Sodium = 46%

Carbon = 12 %

Oxygen = 42%

To determine empirical formula, we calculate the mole ratio first.

mole ratio =  % mass/atomic mass; where the atomic masses of the elements are :  Na = 23 u, C = 12 u and O = 16 u.

mole ratio: Na = 46/23; C = 12/12; O = 42/16

mole ratio (Na : C : O) = 2 : 1 : 2.6

approximate mole ratio = 2 : 1 :3

Therefore, empirical formula of compound is Na₂CO₃

To determine the molecular formula;

molecular formula or mass = n(empirical formula or mass)

n = molecular mass/empirical mass

molecular mass = 106 u,

empirical mass = 23*2 + 12 + 16*3 = 106 u

then, n = 106/106 = 1

therefore, molecular formula = 1 * (Na₂CO₃) = Na₂CO₃

Why are fictional groups important

Answers

Answer:

Functional groups are important in chemistry because they are the portion of a molecule that is capable of characteristic reactions.

Explanation:

Answer:

pls help

Explanation:

Juan puts a pencil into a glass of water. The pencil appears broken at the point where it enters the water. What causes the pencil to look broken? A. The water in the glass absorbs incoming light waves so light cannot pass through the water. B. The light waves traveling through the glass are refracted as the waves pass from air to water. C. The water in the glass changes incoming light waves into a different form of energy. D. The light waves traveling through the glass are reflected by the pencil when it is underneath the water.

Answers

Answer:

d

Explanation:

What will it’s change in temperature be?

_______________’c?

Answers

Answer:

72.8°C

Explanation:

Step 1:

Data obtained from the question. This include the following:

Specific heat capacity (C) = 0.24J/g°C

Mass (M) = 15g

Heat (Q) = 262J

Change in temperature (ΔT) =..?

Step 2:

Determination of the change in temperature.

The change in temperature, ΔT can be obtained as follow:

Q = MCΔT

262 = 15 x 0.24 x ΔT

Divide both side by 15 x 0.24

ΔT = 262 / (15 x 0.24)

ΔT = 72.8°C

Therefore, the change in temperature, ΔT is 72.8°C

The solubility of a solute and solvent at a given temperature is 30.65 g/100 mL.

How much of the solute could be dissolved in 2 L of the solvent?

Please remember to consider significant figure or precise value rules.

Answers

Answer:

613.0 g

Explanation:

2 L = 2000 mL

(30.65 g/100 mL)*2000 mL = 613.0 g

Given:

Solute + solvent = 30.65 g/100 mL

Solvent = 2L

Solution:

Firstly,

We converted L to mL

2 L = 2 × 1000 mL = 2000 mL [ 1 L = 1000 mL ]

Now,

Solute = 30.65/100 × 2000

= 30.65 × 2000 / 100

= 61,300/100

= 613

A(n)________ can change shape and volume.

Answers

Answer:

gas and liquid

Explanation:

right?

Which is more reactive: Magnesium or Potassium?

Answers

Potassium is more reactive...

If 18.0 kJ of energy are applied to 250. grams of water at 37°C, what will be the final temperature

Answers

Answer:

54.1°C

Explanation:

Now we have the following parameters from the question;

Heat applied (H)= 18.0×10^3 Joules

Mass of the water(m)= 250g= 0.25Kg

Initial temperature of the water (θ1)= 37°C

Final temperature of the water (θ2)= the unknown

Heat capacity of water (c) = 4200JKg-1

From ;

H= mc(θ2-θ1)

Substituting values appropriately

18×10^3= 0.25 × 4200(θ2-37)

18×10^3 = 0.25 × (4200θ2 - 155400)

18×10^3 = 1050θ2 - 38850

18×10^3 + 38850 = 1050θ2

56850 = 1050θ2

θ2= 56850/1050

θ2= 54.1°C

Which are the reactants in the following reaction?
2 Mg + O2 ---> 2MgO

a)Mg and O
b)Mg and MgO
c)MgO
d)O and MgO

Answers

Answer:

The second one is correct

Explanation:

Because reactants are sth that attend in a reaction and can make sth like (MgO) of course in this question. For example in this reaction : H+ClHCl. That H and Cl are reactants

Good luck

Te reactants is a
a) Mg and O

what is ⅓ of 21
answer me this please ​

Answers

Answer:

7

Explanation:

1/3 of 21 is also the same as 21/3, which is 21 divided by 3

So the right answer is 7.

please see attached picture for full solution

hope it helps

Good luck on your assignment

Use Hess's Law to determine the enthalpy change (∆H) for the reaction: ClF + F2 → ClF3 Given: 2ClF + O2 → Cl2O + F2O. ∆H=167.4kJ 2ClF3 + 2O2 →Cl2O + 3F2O. ∆H=341.4kJ 2F2 + O2 →2F2O. ∆H=-43.4kJ

Answers

Answer:

The enthalpy change (∆H) for the reaction is -108.7 kJ

Explanation:

Hess's law can be stated as: when the reactants are converted to products, the enthalpy change is the same, regardless of whether the reaction is carried out in one step or in a series of steps. Then, Hess's Law states that the enthalpy of one reaction can be achieved by algebraically adding the enthalpies of other reactions.

So,  to calculate the ∆H (heat of reaction) of the combustion reaction, that is, the heat that accompanies the entire reaction, you must make the total sum of all the heats of the products and of the reagents affected by their stoichiometric coefficient ( number of molecules of each compound participating in the reaction) and finally subtract them.

Enthalpy of combustion = ΔH = ∑Hproducts - ∑Hreactants

2 ClF + O₂ → Cl₂O + F₂O ∆H=167.4kJ

Cl₂O + 3 F₂O → 2 ClF₃ + 2 O₂ ∆H= -341.4kJ  

The previous equation must be inverted, and the enthalpy value is also inverted, that is, the sign is changed.

2 F₂ + O₂ →2 F₂O ∆H=-43.4kJ

Reactants and products are added or canceled, taking into account that certain substances sometimes appear as a reagent and others as a product, so they are totally eliminated (there is nothing left of them anywhere in the reaction, if the same amount in reagents and products) or partially (this substance remains, in less quantity, only on one side), obtaining:

2 ClF + 2 F₂ → 2 ClF₃

Then, as all the reactants and products have a stoichiometric coefficient of 2, dividend by that number is obtained:

ClF + F₂ → ClF₃

Adding the enthalpies algebraically, and dividing by 2, because to get the "data" reaction you had to multiply by two, you get:

ΔH= [167.4 kJ - 341.4 kJ - 43.3 kJ]÷2

ΔH= -108.7 kJ

The enthalpy change (∆H) for the reaction is -108.7 kJ

Which factor(s) will most likely lower the activation energy of a reaction?
A. Concentration
B. Temperature and Concentration
C. Catalysts
D. Temperature and Catalysts

Answers

The answer would be D. I would guess but I could be wrong haha

elements that are anions

Answers

Answer:

I hope this will help its not much

Explanation:

help me with 23 fast

Answers

Answer:

a salt

Explanation:

compounds are made of molecules but we need to mention the type of compound formed.

Answer:

A salt

Because compounds are made of molecules but we need to mention the type of compound formed.

Please help me complete the following word equations:) also write the balanced equation, full ionic equation, and net ionic equation. Also include the states:)

a) zinc nitrate + calcium sulphide—>

b) potassium + calcium chloride—>

Answers

Explanation:

The states may differ depending on the reactions

A 18 g sample of metal is heated to 96°C and placed in a calorimeter containing 21 g of water at an initial temperature of 24°C. After the metal cools in the water bath, the final temperature inside the calorimeter is 26°C. What is the (positive) specific heat of the metal rounded to the HUNDREDTHS place? (hint: final temperatures of metal and water are the same).

Answers

Answer:

THE SPECIFIC HEAT OF THE METAL IS 0.14 J/g K

Explanation:

First, write out the variables in the question

Mass of sample = 18 g

Initial temp of metal = 96°C = 96 + 273 = 369 K

Mass of water = 21 g

Initill temp of water = 24°C = 24 + 273 K = 297 K

final temp of water and metal  = 26°C = 26 + 273 K = 299 K

temperature change = (

In calorimetry, there is conservation of energy and heat liberated by one is absorbed by the other. That is heat gained is equals to heat lost.

Heat lost by the metal = Heat gained by water

mc ΔT = mc ΔT

18 * C * ( 299 - 369 ) = 21 * 4.2 * ( 299 - 297)

18 * C * -70 = 21 * 4.2 * 2

-1260 C = 176.4

C = 176.4 / 1260

C = 0.14 J/ g K

The specific heat of the metal is hence 0.14 J/g K

An object has a mass of 10 kg. when a net force of 40 n north acts on the object, what is it’s acceleration ?

Answers

Answer:

4m/s² north.

Explanation:

Data obtained from the question include the following:

Mass (m) = 10Kg

Force (F) = 40N North.

Acceleration (a) =...?

Force is simply the product of mass and acceleration. It is represented mathematically as:

Force (F) = Mass (m) x acceleration (a)

F = ma

With the above formula, we can obtain the acceleration of the object as follow:

40 = 10 x a

Divide both side by 10

a = 40/10

a = 4m/s²

Since the force was applied in the north direction, the object will also accelerate in the north direction. Therefore, the acceleration of the object is 4m/s² north.

Other Questions
According to the Ruler Postulate, what doesthe set of points on any line correspond to? The tone of a story refers toA) The way the characters interact.B) The plot's rising action as it leads to the climax.C) The attitude toward the subject and the reader.D) The story's point of view. Harriet spins this 6 colour spinner and flips a coin.What is the probability of getting grey and tails? solve this quadratic equation by completing the square. x^2+4x=15ANSWER QUICKLY PLS, FIRST GOOD ANSWER GETS BRAINLIEST (if your answer is incorrect im gonna delete it)thx Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5 days and standard deviation 4 days, independent of the time it takes other contestants to train. If the Hunger Games has 100 contestants to train, approx imate the probability that it will take less than 450 days to train all the contestants. Leave your answer in terms of the standard normal distribution phi(a). Which best describes the process of peer review ? please help i need this asap Which of the statements about the diagram is INCORRECT?A) 1 2B)BE EDC)BE CED)CE EA Wich of the following is the definition of the domain of relation PLEASE HELP ME. I REALLY NEED HELPHow can you determine the distance between the corners without measuring it? what is it called when congress passes a law # of pens cost of box12- $2550- $ ?100- $175the partially filled chart above shows the costof three sizes of boxes of pens sold by an office supply store. As the number of pens in a box increases, the cost per pen decreases. of the following, which could be the total cost of a box of 50 pens?$75$85$95$105 Which of the following is the solution to |x|+19 How did the Federal Trade Act impact business' practices? 2+(x+y)=(2+x)+y is an example of what algebraic property What is the value of y? The _____ of a story can be applied to other works of literate or to life How does the setting most communicate a theme of the novel?The icy expanse connects to the theme of loneliness.The cold climate connects to the theme of cruelty.The sparse trees connect to the theme of poverty.The varied wildlife connects to the theme of life.How does the setting most communicate a theme of the novel HELP PLEASE What is an internal part of a computer which contains all software programs installed on your computer?HDDRAMVideo CardCMOS Chip What title for the head of the Grand Assembly was proposed by the Albany Plan?A.Governor GeneralB.President GeneralOC.Chief GovernorD.Governor in Chief