From the following data
i. `H_(2)(g)+CO_(2)(g) hArr H_(2)O(g)+CO(g), K_(2000 K)=4.40`
ii. `2H_(2)O(g) hArr 2H_(2)(g)+O_(2)(g), K_(2000 K)^(I)=5.31xx10^(-10)`
iii. `2CO(g)+O_(2)(g) hArr 2CO_(2)(g), K_(1000 K)=2.24xx10^(22)`
Show whether reaction (iii) is exothermic or endothermic.

Explanation

To determine whether the reaction (iii) is exothermic or endothermic, we will analyze the equilibrium constants (K) at different temperatures and apply the principles of Le Chatelier's principle and the van 't Hoff equation.

### Step-by-Step Solution:

1. **Identify the Reactions and Their Equilibrium Constants**:
- Reaction (i): \( H_2(g) + CO_2(g) \rightleftharpoons H_2O(g) + CO(g) \), \( K_{2000 K} = 4.40 \)
- Reaction (ii): \( 2H_2O(g) \rightleftharpoons 2H_2(g) + O_2(g) \), \( K_{2000 K}^{(I)} = 5.31 \times 10^{-10} \)
- Reaction (iii): \( 2CO(g) + O_2(g) \rightleftharpoons 2CO_2(g) \), \( K_{1000 K} = 2.24 \times 10^{22} \)
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