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Change in volume of the system does not ...

Change in volume of the system does not alter the number of moles in which of the following equilibrium?

A

`N_(2(g)) + O_(2(g)) hArr 2 NO_((g))`

B

`PCI_(5(g)) hArr PCI_(3(g)) + Cl_(2(g)) `

C

`N_(2(g)) + 3H_(2(g)) hArr 2 NH_(3(g))`

D

`SO_(2) Cl_(2(g)) hArr SO_(2(g)) + Cl_(2(g))`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which equilibrium is not affected by a change in volume, we need to analyze the number of moles of reactants and products in each equilibrium reaction provided. ### Step-by-Step Solution: 1. **Identify the Equilibria**: We have four equilibrium reactions to analyze. - Reaction 1: A + B ⇌ C + D - Reaction 2: PCl5 ⇌ PCl3 + Cl2 - Reaction 3: N2 + 3H2 ⇌ 2NH3 - Reaction 4: SO2Cl2 ⇌ SO2 + Cl2 2. **Count Moles for Each Reaction**: - **Reaction 1**: Let's assume A + B ⇌ C + D has 2 moles on both sides (1 mole of A + 1 mole of B = 2 moles; 1 mole of C + 1 mole of D = 2 moles). - **Reaction 2**: PCl5 ⇌ PCl3 + Cl2 has 1 mole on the left (PCl5) and 2 moles on the right (PCl3 + Cl2). - **Reaction 3**: N2 + 3H2 ⇌ 2NH3 has 4 moles on the left (1 mole of N2 + 3 moles of H2) and 2 moles on the right (2 moles of NH3). - **Reaction 4**: SO2Cl2 ⇌ SO2 + Cl2 has 1 mole on the left (SO2Cl2) and 2 moles on the right (SO2 + Cl2). 3. **Determine Change in Moles with Volume Change**: - For a reaction where the number of moles of reactants equals the number of moles of products, a change in volume will not affect the equilibrium position significantly because the ratio of moles remains constant. - In **Reaction 1**, the number of moles is equal on both sides (2 moles), so a change in volume will not alter the number of moles. - In **Reaction 2**, **Reaction 3**, and **Reaction 4**, the number of moles differs between reactants and products, meaning a change in volume will affect the equilibrium position. 4. **Conclusion**: The only reaction where the change in volume does not alter the number of moles is **Reaction 1**. ### Final Answer: The change in volume of the system does not alter the number of moles in **Reaction 1** (A + B ⇌ C + D).
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