Assertion: In the reaction : `SO_2 Cl_2(g) hArr SO_2(g) + Cl_2` , the reaction shifts to backward direction on increasing pressure.
Reason :The increase in pressure at equilibrium shifts the reaction towards lesser number of mole.

Options

A. Assertion and reason both are correct statements and Reason is correct explanation for assertion.
B. Assertion and reason both are correct statement but reason is not correct explanation for assertion
C. Assertion is correct statement but reason is wrong statement.
D. Assertion is wrong statement but reason is correct statement

Answer

To solve the question, we need to analyze the assertion and reason provided in the context of the reaction:

**Given Reaction:**
\[ \text{SO}_2\text{Cl}_2(g) \rightleftharpoons \text{SO}_2(g) + \text{Cl}_2(g) \]

### Step 1: Identify the number of moles on each side of the reaction.
- On the left side (reactants):
- 1 mole of SO₂Cl₂
- On the right side (products):
- 1 mole of SO₂ + 1 mole of Cl₂ = 2 moles

### Step 2: Apply Le Chatelier's Principle.
Le Chatelier's Principle states that if a system at equilibrium is subjected to a change in pressure, temperature, or concentration, the system will adjust itself to counteract that change and restore a new equilibrium.

### Step 3: Analyze the effect of increasing pressure.
- When pressure is increased, the equilibrium will shift in the direction that results in fewer moles of gas.
- In this case, the reactants side has 1 mole of gas, while the products side has 2 moles of gas.

### Step 4: Determine the direction of the shift.
- Since the left side has fewer moles (1 mole) compared to the right side (2 moles), increasing the pressure will shift the equilibrium to the left (backward direction) to reduce the total number of gas moles.

### Conclusion:
- **Assertion:** The reaction shifts to the backward direction on increasing pressure. (True)
- **Reason:** The increase in pressure at equilibrium shifts the reaction towards the lesser number of moles. (True)

Both the assertion and reason are correct, and the reason correctly explains the assertion.

### Final Answer:
Both the assertion and reason are true, and the reason is the correct explanation of the assertion.

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