`2H_2(g) +CO(g) hArr CH_3OH(g) , DeltaH=-92.2` kJ. Which of the following condition will shift the equilibrium in the forward direction ?

Options

A. CO is removed
B. `CH_3 OH` is added
C. The pressure of the system is increased
D. Temperature of the system is increased

Answer

To determine which condition will shift the equilibrium of the reaction \(2H_2(g) + CO(g) \rightleftharpoons CH_3OH(g)\) in the forward direction, we can analyze each of the given options based on Le Chatelier's principle.

### Step-by-Step Solution:

1. **Write the Reaction and Identify the Conditions:**
The reaction is:
\[ 2H_2(g) + CO(g) \rightleftharpoons CH_3OH(g) \]
The enthalpy change (\(\Delta H\)) for the reaction is \(-92.2 \, \text{kJ}\), indicating that the reaction is exothermic (releases heat).

2. **Analyze Each Option:**
- **Option 1: Removing CO**
- If CO is removed, the concentration of reactants decreases. According to Le Chatelier's principle, the equilibrium will shift to the left (backward direction) to produce more CO. **(Not a forward shift)**

- **Option 2: Adding CH3OH**
- If CH3OH is added, the concentration of products increases. The equilibrium will shift to the left (backward direction) to reduce the concentration of CH3OH. **(Not a forward shift)**

- **Option 3: Increasing Pressure**
- Increasing the pressure will favor the side with fewer moles of gas. On the reactant side, there are 3 moles (2 from \(H_2\) and 1 from \(CO\)), while on the product side, there is only 1 mole of \(CH_3OH\). Thus, increasing pressure will shift the equilibrium to the right (forward direction). **(This is a forward shift)**

- **Option 4: Increasing Temperature**
- Since the reaction is exothermic, increasing the temperature will shift the equilibrium to the left (backward direction) to absorb the excess heat. **(Not a forward shift)**

3. **Conclusion:**
The only condition that shifts the equilibrium in the forward direction is **Option 3: Increasing Pressure**.

### Final Answer:
The condition that will shift the equilibrium in the forward direction is **increasing the pressure**.

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