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For the reaction CaCO3(s) hArr CaO(s) +C...

For the reaction `CaCO_3(s) hArr CaO(s) +CO_2(g)`, the pressure of `CO_2` depends on

A

the mass of `CaCO_3(s)`

B

the mass of `CaO(s)`

C

the masses of the `CaCO_3(s) and CaO(s)`

D

temperature of the system

Text Solution

AI Generated Solution

The correct Answer is:
To determine how the pressure of \( CO_2 \) depends on the given reaction: **Step 1: Write the balanced chemical equation.** The reaction is: \[ CaCO_3(s) \rightleftharpoons CaO(s) + CO_2(g) \] **Step 2: Identify the states of the reactants and products.** In this reaction: - \( CaCO_3 \) is a solid (s). - \( CaO \) is also a solid (s). - \( CO_2 \) is a gas (g). **Step 3: Understand the concept of pressure in relation to gases.** Pressure is a property that is primarily applicable to gases. The pressure of a gas is influenced by factors such as the amount of gas, the volume it occupies, and the temperature of the system. **Step 4: Analyze the factors affecting the pressure of \( CO_2 \).** For the reaction at equilibrium, the pressure of \( CO_2 \) will not depend on the masses of the solids (\( CaCO_3 \) and \( CaO \)) because solids do not contribute to the pressure of the gas phase. Instead, the pressure of \( CO_2 \) is influenced by the temperature of the system. **Step 5: Apply Gay-Lussac's Law.** According to Gay-Lussac's Law, at a constant volume, the pressure of a gas is directly proportional to its absolute temperature: \[ P \propto T \] This means that if the temperature increases, the pressure of the gas will also increase, and vice versa. **Step 6: Conclude the dependency of \( CO_2 \) pressure.** Thus, the pressure of \( CO_2 \) in this reaction depends solely on the temperature of the system. **Final Answer:** The pressure of \( CO_2 \) depends on the temperature of the system. ---
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