A helium filled balloon has a volume of 50. 0L at 25⁰ C and 1. 00 atm. What volume will it have at 0. 855 atm and 10. 0⁰ C?

The only plate with all margins as convergent boundaries is the Pacific Plate. Convergent boundaries occur when two tectonic plates move toward each other and collide, resulting in the formation of various geological features such as mountains, volcanic arcs, and deep-sea trenches.

The Pacific Plate is the largest tectonic plate on Earth, covering an area of around 103 million square kilometers. It is surrounded by convergent boundaries along its entire perimeter. To the west, it converges with the Eurasian,

Philippine Sea, and Australian Plates, forming the Japan, Kuril-Kamchatka, and Izu-Bonin-Mariana Trenches, as well as the Indonesia and Philippine Trenches. To the east, it converges with the North American and Cocos Plates, resulting in the deep-sea trenches along the western coast of North and Central America, and the formation of the Andes mountain range in South America.

To the south, the Pacific Plate converges with the Antarctic Plate, forming the Pacific-Antarctic Ridge. To the north, it converges with the North American Plate, resulting in the formation of the Aleutian Trench and volcanic arc.

The continuous movement of the Pacific Plate and its surrounding convergent boundaries are responsible for much of the seismic and volcanic activity in the Pacific Ring of Fire, which is home to about 75% of the world's active and dormant volcanoes.

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The pinacol rearrangement more often use the sulfuric acid, H₂SO₄ , as the acid catalyst rather than the hydrochloric acid, HCl is because H₂SO₄ have the more proton than that of the HCl.

The pinacol rearrangement process will takes place through 1,2-rearrangement. This rearrangement will involves the shift of the two adjacent atoms. Pinacol is the compound which has the two hydroxyl groups, each of the attached to the vicinal carbon atom. It is the solid organic compound which is the white.

The H₂SO₄ have the more proton than that of the HCl. This will makes the pinacol rearrangement more often use the sulfuric acid H₂SO₄ , as the acid catalyst and rather than the hydrochloric acid, HCl.

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Answer:

Explanation:

The correct answer is A.2,1,1,1 ;

As Our balancing equation is totally a Mathematics calculation In which We have to make coefficients in a manner to have all the atoms got equal on both side of the reactants.

We do balancing for Conservation of Mass.

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Yes, elements that make up polyatomic ions share their electrons.

Polyatomic ions are ions that are composed of more than two atoms.

Atoms are covalently bonded to each other  and in the entire structure non-neutral charge is present .The bonding electrons are distributed throughout the polyatomic ions and they are not localized between two atoms. A polyatomic ion is a molecule that can be ionized by either gaining or losing of electrons. The group of covalently bonded atoms altogether carries a net charge, this is because the total number of electrons in a molecule is not equal to the total number of protons present in the molecule.

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If there is a container with a volume of 6.2 liters and a pressure of 1.5 atmospheres, the number of moles present in the container is approximately 0.28 moles. Therefore, the correct answer is option b) 0.28.

To calculate the number of moles present in the container, we can use the ideal gas law equation:

PV = nRT

Where:

P = pressure in atm

V = volume in liters

n = number of moles

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

T = temperature in Kelvin

First, we need to convert the temperature from Celsius to Kelvin:

T(K) = T(°C) + 273.15

T(K) = 38 °C + 273.15 = 311.15 K

Now we can rearrange the equation to solve for the number of moles (n):

n = PV / RT

Substituting the given values:

P = 1.5 atm

V = 6.2 L

R = 0.0821 L atm / (mol K)

T = 311.15 K

n = [tex](1.5 \text{ atm} \times 6.2 \text{ L}) / (0.0821 \text{ L atm/(mol K)} \times 311.15 \text{ K})[/tex]

n ≈ 0.28 moles

Therefore, the number of moles present in the container is approximately 0.28 moles.

The correct answer is option b) 0.28.

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It is likely that the jewels are hidden in the tank with salt residue on their sides.

The presence of the electric wires in both tanks suggests that the thief has set up a security system to protect the treasure chests.

The purpose of the salt in the right tank is likely to act as a conductor, completing an electric circuit if someone were to touch the chest or the wires. This would trigger an electric shock and serve as a deterrent to potential thieves.

Since the thief is unlikely to have set up the security system in the tank without the jewels, the lack of salt in the left tank suggests that it is a decoy, intended to mislead potential thieves.

Therefore, the tank with the salt residue is the more likely hiding place for the jewels.

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Yes, we have enough information to calculate the amount of energy transferred in this situation. We can use the equation Q = mCΔT.

Q is the amount of energy transferred, m is the mass, C is the specific heat capacity, and ΔT is the change in temperature. We know the mass and specific heat capacity of the aluminum and water, as well as the change in temperature of the water.

Using this information, we can calculate the amount of energy transferred from the aluminum to the water.

To be specific, we can use the equation Q(aluminum) = m(aluminum) x C(aluminum) x ΔT(water) to find the amount of energy transferred from the aluminum to the water.

Since the aluminum starts at a higher temperature than the water, it will lose energy and transfer it to the water until both reach thermal equilibrium.

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B. Zn (s) + H2SO4 (aq) ZnSO4 (aq) + H2 (l) of the following chemical reactions is a single replacement reaction

A single-displacement reaction occurs when a more reactive ingredient in a compound replaces a less reactive member. Metal displacement, hydrogen displacement, and halogen displacement are the three different categories of displacement processes.

Chlorine takes the place of bromine when it is introduced to a solution of sodium bromide in gaseous form (or as a gas dissolved in water). Chlorine, which is more reactive than bromine, causes sodium bromide to lose bromine, which causes the solutions to become blue.

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The cell potential for the given unbalanced reaction is 2.334 V.

To calculate the cell potential, we first need to balance the reaction:
Mg(s) + 2Fe³⁺(aq) → Mg²⁺(aq) + 2Fe(s)

Next, we find the difference in standard reduction potentials:
E°(Mg²⁺/Mg) = -2.37 V
E°(Fe³⁺/Fe) = -0.036 V
E°cell = E°(Mg²⁺/Mg) - E°(Fe³⁺/Fe) = -2.37 - (-0.036) = -2.334 V

Now, we apply the Nernst equation to account for non-standard conditions:
E = E° - (RT/nF)ln(Q)
where R = 8.314 J/mol·K, T = 298 K, n = 2 moles of electrons, F = 96485 C/mol, and Q is the reaction quotient.

Q = [Mg²⁺]/[Fe³⁺]² = (0.000612)/(1.29)²

E = -2.334 - (8.314 * 298)/(2 * 96485) * ln(0.000612/1.29²)
E ≈ 2.334 V

Thus, the cell potential for the given reaction is 2.334 V.

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The volume/concentration of the above questions are as follows:

The amount of volume or concentration of a substance can be calculated using the following expression;

CaVa = CbVb

Where;

1. 10 × 250 = 0.5 × Vb

2500 = 0.5Vb

Vb = 5000mL

2. 0.400 × 15 = 2 × Cb

6 = 2Cb

Cb = 3M

3. 50 × 20 = 1000 × Cb

1000 = 1000Cb

Cb = 1M

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An endothermic reaction is one that absorbs heat from its surroundings, resulting in an increase in the system's internal energy.

Therefore, the enthalpy change associated with an endothermic reaction is positive. The energy required to break the bonds in the reactants is greater than the energy released when new bonds are formed in the products, resulting in a net absorption of energy.

The enthalpy change is a measure of the heat energy released or absorbed during a chemical reaction, and it is often used to determine whether a reaction is exothermic or endothermic.

In the case of an endothermic reaction, the products have more internal energy than the reactants, and the enthalpy change is positive.

Some examples of endothermic reactions include melting ice, evaporating water, and photosynthesis. In all of these reactions, heat is absorbed from the surroundings, resulting in a positive enthalpy change.

Understanding the enthalpy change associated with a reaction is important in fields such as thermodynamics, chemical engineering, and materials science.

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A)  The value of concentration [OH⁻] = √(Kb*[CO₃²⁻]) = √(1.8×10⁻⁴*0.145) = 0.0034 M.

B)  The pH of the solution is pH = -log[H⁺] = -log(2.24×10⁻¹²) = 11.65.

C)  The pOH of the solution is pOH = -log(0.0034) = 2.47.

A) To determine the [OH⁻] of a solution that is 0.145 M in CO₃²⁻ (Kb=1.8×10⁻⁴), we can use the Kb expression of CO₃²⁻ and the fact that Kw (the ion product constant) is equal to [H⁺][OH⁻] to solve for [OH⁻].

The Kb expression for CO₃²⁻ is: Kb = [HCO₃⁻][OH⁻]/[CO₃²⁻]. Since the concentration of HCO₃⁻ is negligible compared to the concentration of CO₃²⁻, we can assume that [HCO₃⁻] is equal to 0.

B) To determine the pH of a solution that is 0.145 M in CO₃²⁻, we need to find the concentration of H⁺ in the solution. Since CO₃²⁻ can act as a base, it can react with water to form HCO₃⁻ and OH⁻.

The Kb expression for CO₃²⁻ can be rewritten as: Kw/Kb = [H⁺][OH⁻]/[CO₃²⁻] = [H⁺][OH⁻]/0.145. Solving for [H⁺], we get [H⁺] = Kw/[OH⁻][CO₃²⁻] = 1.0×10⁻¹⁴/(0.0034*0.145) = 2.24×10⁻¹² M.

C) To determine the pOH of a solution that is 0.145 M in CO₃²⁻, we can use the fact that pOH = -log[OH⁻]. From part A, we know that the [OH⁻] of the solution is 0.0034 M.

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The activation energy (Ea) is the minimum energy required for a reaction to occur, and it is defined as the energy difference between the reactants and the activated complex or transition state. In an exothermic reaction, the products have lower energy than the reactants, so the change in energy (∆E) is negative.

The activation energy of the forward reaction is given as 20 kJ/mol. This means that 20 kJ/mol of energy must be provided to the reactants to reach the activated complex and initiate the forward reaction.

To find the activation energy of the reverse reaction (Ea′), we can use the equation:

Ea′ = Ea + ∆E

where Ea is the activation energy of the forward reaction and ∆E is the change in energy of the reaction. Since we are given ∆E as -33 kJ/mol, which represents the change in energy for the forward reaction, we can substitute the values and solve for Ea′.

Plugging in the given values, we get:

Ea′ = 20 kJ/mol + (-33 kJ/mol)

Ea′ = -13 kJ/mol

Therefore, the activation energy of the reverse reaction (Ea′) is -13 kJ/mol. This negative value means that the reverse reaction has a lower activation energy than the forward reaction, which is consistent with the fact that the reaction is exothermic. A lower activation energy for the reverse reaction means that it is easier for the products to convert back to the reactants, which is why exothermic reactions tend to be more favorable in the forward direction.

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The work done by Henry can be calculated by multiplying the weight of the box (500 N) with the distance it was lifted (0.75 m). Thus, the work done is 375 J (Joules).(D)

In physics, work is defined as the energy transferred when a force is applied to move an object through a distance. The unit of work is Joule, which is the same as Newton-meter. In this question, Henry lifted the box with a force equal to its weight, and the box was lifted through a distance of 0.75 m.

Therefore, Henry did work on the box by transferring 375 J of energy to it. This work is equal to the potential energy gained by the box due to its vertical displacement. The time taken (1.5 seconds) is not relevant to the calculation of work.

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When reglazing, you cover the areas that were forgotten in the 2nd firing as well as reglaze everywhere for a uniform appearance.

Reglazing involves applying a new layer of glaze to a previously fired ceramic piece to improve its appearance, fix any issues from previous firings, or to achieve a specific effect.

In your case, if some areas were missed or improperly glazed during the 2nd firing, you would want to apply glaze to those forgotten areas to ensure a consistent finish.

However, it's important to reglaze the entire piece, not just the missed areas, to maintain a uniform appearance and avoid any inconsistencies in the final result. Before reglazing, make sure the ceramic piece is clean and free of dust or debris.

Apply the glaze evenly, using an appropriate technique such as brushing or dipping, and then fire the piece again according to the glaze's specific firing temperature and instructions. This should result in a well-glazed and visually appealing ceramic piece.

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A 30% (w/v) solution of vitamin C was diluted to 200 ml. The weight/volume percent concentration of the resulting solution is 15%.

To find the weight/volume percent concentration after diluting, we need to use the formula:

C1V1 = C2V2

Where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

Given:

C1 = 30% (w/v)

V1 = 100 mL

V2 = 200 mL

Using the formula, we can solve for C2:

C1V1 = C2V2

(30%)(100 mL) = C2(200 mL)

C2 = (30%)(100 mL) / (200 mL)

C2 = 15%

Therefore, the weight/volume percent concentration of the 100 mL of 30.0% (w/v) solution of vitamin C after diluting to 200 mL is 15%.

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Explanation:

3120 j / (2000 g * (212-200 C) )  = .13 j /( g C)  

The bonding you would expect to find in a coin made out of copper is metallic bonding.

Metallic bonding is the strong attraction between positively charged metal ions and the surrounding delocalized electrons in a metallic lattice. Copper is a metal and its atoms are closely packed together, forming a lattice structure. In the case of a copper coin, copper atoms lose their outermost electrons to form positively charged copper ions (Cu⁺), which are then held together by the delocalized electrons that move freely throughout the metal lattice. This type of bonding gives copper its characteristic properties such as electrical conductivity, malleability, and ductility making it an ideal material for coinage.

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The molar solubility of Ag₂CrO₄ in water is approximately 1.24 x 10^-4 mol/L.

The solubility of a salt in water can be calculated using its solubility product constant (Ksp) value. The Ksp expression for Ag₂CrO₄ is:

[tex]Ag_2CrO_4[/tex](s) ⇌ [tex]2Ag^+(aq)[/tex] + [tex]CrO_4^{2-}(aq)[/tex]

The Ksp expression for this equilibrium is:

Ksp = [Ag+]^2[[tex]CrO_4^{2-[/tex]]

where [Ag+] and [CrO₄²-] are the concentrations of Ag+ and CrO₄²- ions in the equilibrium, respectively.

Let's assume that the molar solubility of [tex]Ag_2CrO_4[/tex] in water is x mol/L. Since the Ag₂CrO₄ dissociates into 2 Ag+ ions and 1 [tex]CrO__4^2-[/tex] ion, the concentration of Ag+ ions and [tex]CrO_4^{2-}[/tex] ions in the equilibrium will be 2x and x, respectively. Substituting these values into the Ksp expression, we get:

Ksp = (2x)^2(x) = 4x^3

Now, we can solve for x:

Ksp = [tex]4x^3[/tex]

8.0 x [tex]10^-12[/tex] = [tex]4x^3[/tex]

[tex]x^3[/tex] = (8.0 x [tex]10^-12[/tex])/4

[tex]x^3[/tex] = 2.0 x [tex]10^{-12}[/tex]

x = (2.0 x [tex]10^{-12}[/tex])^(1/3)

x = 1.24 x [tex]10^{-4[/tex] mol/L

Therefore, the molar solubility of Ag₂CrO₄ in water is approximately 1.24 x [tex]10^{-4[/tex] mol/L.

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The loss of mass could be accounted for by the release of gases such as water vapor, carbon dioxide, and sulfur dioxide during the reaction between sulfuric acid and sugar.

This is due to the fact that both sugar and sulfuric acid are organic compounds, and when heated, they undergo dehydration and decomposition reactions respectively, producing gases that escape the system. The carbon product is also likely to be less dense than the reactants, resulting in a further loss of mass.

Additionally, some of the sugar may have not fully reacted due to incomplete mixing, resulting in residual sugar that was not accounted for in the mass measurement. Overall, the loss of mass is expected in any chemical reaction, and in this case, it can be attributed to the production of gases and incomplete reaction.

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Based on the scenario described, it is likely that the student spilled a solution containing a flammable compound such as ethanol or methanol. These compounds are commonly used in chemistry labs and can easily catch fire if not handled properly. The bright red color of the flames is likely due to the presence of a metal salt in the solution, which can produce colored flames when heated. It is important to always follow safety rules in a lab setting to prevent accidents like this from happening.

How does burn ethanol?

Ethanol can be burned in the presence of oxygen to produce carbon dioxide (CO2) and water (H2O) in a process known as combustion. The chemical formula for ethanol combustion is:

C2H5OH + 3O2 → 2CO2 + 3H2O

In this reaction, the ethanol (C2H5OH) reacts with oxygen (O2) to produce carbon dioxide (CO2) and water (H2O). The reaction releases heat, which can be used as a source of energy.

To burn ethanol, it is typically mixed with air or oxygen and then ignited. The combustion process can be controlled by adjusting the amount of ethanol and oxygen that is mixed together, as well as the temperature and pressure of the reaction.

In some cases, ethanol is burned in internal combustion engines, such as those used in cars and other vehicles. In these engines, the combustion of ethanol is used to power the engine and generate mechanical energy.

It's important to note that the combustion of ethanol releases carbon dioxide, a greenhouse gas that contributes to climate change. As such, efforts are being made to reduce the amount of greenhouse gas emissions from burning ethanol and other fuels, through the use of renewable energy sources and more efficient combustion processes.

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The pH of the resulting solution is calculated to be 1.40.

To determine the pH of the resulting solution, we need to first calculate the moles of each acid present.

Moles of HCl = (0.50 mol/L) x (0.050 L) = 0.025 mol
Moles of HNO3 = (0.10 mol/L) x (0.150 L) = 0.015 mol

Since the two acids are both strong acids, they will completely dissociate in solution. This means that the resulting solution will contain 0.025 mol of H+ ions from HCl and 0.015 mol of H+ ions from HNO3.

To calculate the pH of this solution, we can use the equation:

pH = -log[H+]

[H+] = (0.025 mol + 0.015 mol) / (0.050 L + 0.150 L) = 0.040 mol/L

pH = -log(0.040) = 1.40

Therefore, the pH of the resulting solution is 1.40.

In summary, when 50.0 ml of 0.50 M HCl is added to 150.0 ml of 0.10 M HNO3, the resulting solution contains 0.025 mol of H+ ions from HCl and 0.015 mol of H+ ions from HNO3. The pH of the resulting solution is calculated to be 1.40.

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Iodine-131 is a radioactive isotope of iodine that has a half-life of 8.0 days. This means that after 8.0 days, half of the original amount of iodine-131 will have decayed, and after another 8.0 days (a total of 16 days), half of the remaining iodine-131 will have decayed again.

The activity of a radioactive sample is a measure of the number of radioactive decays that occur in a given time period. It is measured in units of becquerels (Bq) or curies (Ci). One curie is equal to 3.7 x 10^10 becquerels.

In this case, we are given that the initial activity of the sample is 200 mCi (milliCuries). To find the activity after 16 days, we can use the following equation:

Activity = Initial activity x (1/2)^(t/half-life)
where t is the time elapsed and half-life is the half-life of the isotope.
Substituting the given values, we get:

Activity = 200 mCi x (1/2)^(16/8)
Activity = 200 mCi x (1/2)^2
Activity = 200 mCi x 0.25
Activity = 50 mCi

Therefore, the activity observed after 16 days is 50 mCi. This means that half of the original iodine-131 has decayed in that time period. It is important to note that the actual number of atoms remaining in the sample will also be halved after 16 days, but the activity will be reduced by a factor of four (since activity is proportional to the number of decays per unit time).

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Unbalanced forces acting on a Nebula result in a change in its motion.(C)

When unbalanced forces act on a nebula, they disrupt its equilibrium and cause a change in its motion. This is due to Newton's First Law of Motion, which states that an object at rest or in constant linear motion will continue in that state unless acted upon by an unbalanced force.

In the case of a nebula, the unbalanced forces may come from nearby stellar explosions, passing stars, or gravitational interactions.

These forces can cause parts of the nebula to compress and collapse, initiating the formation of new stars and planetary systems. As a result, the motion of the nebula changes over time as it evolves and develops under the influence of these forces.(C)

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Approximately 0.35175 moles of C₁₂H₂₆ were reacted to produce 4.2105 moles of CO₂.

To find the moles of C₁₂H₂₆ that reacted to produce 4.2105 moles of CO₂, you can use the stoichiometry of the balanced chemical equation: 2 C₁₂H₂₆ + 37 O₂ → 24 CO₂ + 26 H₂O.

Step 1: Identify the mole-to-mole ratio between C₁₂H₂₆ and CO₂ in the balanced equation.
In this case, the ratio is 2 moles of C₁₂H₂₆ to 24 moles of CO₂.

Step 2: Set up a proportion to find the moles of C₁₂H₂₆.
(2 moles C₁₂H₂₆) / (24 moles CO₂) = (x moles C₁₂H₂₆) / (4.2105 moles CO₂)

Step 3: Solve for x, which represents the moles of C₁₂H₂₆.
x moles C₁₂H₂₆  = (2 moles C₁₂H₂₆) * (4.2105 moles CO₂) / (24 moles CO₂)

Step 4: Calculate the value of x.
x = (2 * 4.2105) / 24
x ≈ 0.35175

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Copper (Cu) is oxidized, and Nitrogen (N) is reduced.

The element that is oxidized or reduced is calculated as follows;

Cu + HNO3 → Cu(NO3)2 + NO + H2O

Oxidation is the loss of electrons, whereas reduction is the gain of electrons.

In the given reaction, copper (Cu) is oxidized as it loses two electrons, going from an oxidation state of 0 to +2 in Cu(NO3)2.

On the other hand, nitrogen in HNO3 undergoes a change in oxidation state from +5 to +2, indicating that it has gained three electrons and hence, is reduced to NO.

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0.21 dm³ of 0.1 mol/dm³ hydrochloric acid is required to neutralize 20 cm³ of 2.0 mol/dm³ sodium hydroxide.

The volume of 0.1 mol/dm³ hydrochloric acid required to neutralize 20 cm³ of 2.0 mol/dm³ sodium hydroxide can be calculated using the formula:

Volume of acid = (Volume of alkali x Concentration of alkali x Molar mass of acid) / (Molar mass of alkali x Concentration of acid)

Firstly, we need to convert the volume of alkali from cm³ to dm³, which gives us 0.02 dm³. The molar mass of hydrochloric acid (HCl) is 36.5 g/mol, and the molar mass of sodium hydroxide (NaOH) is 40 g/mol.

Substituting these values and the given concentrations into the formula, we get:

Volume of acid = (0.02 x 2.0 x 40) / (36.5 x 0.1) = 0.21 dm³

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1.  Balanced equation for the combustion of propane: [tex]C_3H_8 + 5O_2\ - > 3CO_2 + 4H_2O.[/tex]

2. Balanced equation for the reaction between hydrochloric acid and sodium hydroxide:[tex]HCl + NaOH\ - > NaCl + H_2O.[/tex]

3. 3. Balanced equation for the decomposition of calcium carbonate upon heating: [tex]CaCO_3\ - > CaO + CO_2.[/tex]

1. [tex]C_3H_8 + 5O_2\ - > 3CO_2 + 4H_2O.[/tex]

This reaction shows that propane[tex](C_3H_8)[/tex] reacts with oxygen[tex](O_2)[/tex] from the air to produce carbon dioxide[tex](CO_2)[/tex] and water[tex](H_2O)[/tex] in a balanced chemical equation.

2. [tex]HCl + NaOH\ - > NaCl + H_2O.[/tex]

This reaction demonstrates that hydrochloric acid (HCl) reacts with sodium hydroxide (NaOH) to produce sodium chloride (NaCl) and water [tex](H_2O)[/tex] in a balanced chemical equation.

3. [tex]CaCO_3\ - > CaO + CO_2[/tex].

This reaction illustrates that when calcium carbonate[tex](CaCO_3)[/tex] is heated, it decomposes to produce calcium oxide (CaO) and carbon dioxide [tex](CO_2)[/tex] in a balanced chemical equation.

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--The complete Question is, Write balanced equations for each of the processes described below:

1. Combustion of propane (C3H8) in air to produce carbon dioxide and water.

2. Reaction between hydrochloric acid (HCl) and sodium hydroxide (NaOH) to produce sodium chloride (NaCl) and water (H2O).

3. Decomposition of calcium carbonate (CaCO3) upon heating to produce calcium oxide (CaO) and carbon dioxide (CO2). --

A 35. 3 g of element M is reacted with nitrogen to produce 43. 5 g of compo und M₃N₂ (i) The molar mass of element M is 24.0 g/mol. (ii) The name of the element is magnesium (Mg).

(i) To find the molar mass of element M, we need to use stoichiometry to relate the mass of M to the mass of M₃N₂. We can start by calculating the moles of M3N2 produced:

43.5 g M₃N₂ × 1 mol M₃N₂/100.9 g M₃N₂ = 0.43 mol M₃N₂

Since the molar ratio between M and M₃N₂ is 1:3, we can calculate the moles of M:

0.43 mol M₃N₂ × 1 mol M/3 mol M₃N₂ = 0.14 mol M

Finally, we can calculate the molar mass of M by dividing its mass (35.3 g) by the number of moles (0.14 mol):

molar mass of M = 35.3 g/0.14 mol = 253 g/mol

However, this value is much higher than the molar mass of any known element. We can recognize that the formula M₃N₂ implies that element M is a metal with a +2 charge, since each M atom forms 3 bonds with N atoms, and each N atom forms 2 bonds with M atoms.

(ii) Based on this information, we can identify element M as magnesium (Mg), which has a molar mass of 24.0 g/mol.

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We need 2.77 liters of hydrogen gas to react with 9.0 g of bromine.



From this equation, we can see that 1 mole of hydrogen gas (H2) reacts with 1 mole of bromine (Br2) to produce 2 moles of hydrogen bromide (HBr).
we need to use the molar mass of bromine, which is 79.9 g/mol.
Number of moles of Br2 = mass / molar mass = 9.0 g / 79.9 g/mol = 0.113 moles
Since 1 mole of H2 reacts with 1 mole of Br2, we need 0.113 moles of H2 to react with the given amount of Br2.
To find out how many liters of H2 are needed, we need to use the ideal gas law, which relates the number of moles of a gas to its volume:

PV = nRT

where P is the pressure of the gas (in atm), V is the volume (in liters), n is the number of moles, R is the gas constant (0.0821 L·atm/mol·K), and T is the temperature (in Kelvin).

Assuming standard conditions of temperature and pressure (STP), which are 0°C (273 K) and 1 atm, respectively, we can simplify the equation to:
V = nRT/P = (0.113 mol)(0.0821 L·atm/mol·K)(273 K)/(1 atm) = 2.77 L

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