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The equilibrium constant K for the react...

The equilibrium constant K for the reaction `2HI(g) hArr H_(2)(g)+I_(2)(g)` at room temperature is `2.85` and that at `698 K` is `1.4 xx10^(-2)`. This implies

A

Exothermic

B

Endothermic

C

Exergonic

D

Unpredictable

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The correct Answer is:
To determine the nature of the reaction based on the given equilibrium constants at two different temperatures, we can follow these steps: ### Step 1: Understand the Reaction The reaction given is: \[ 2 \text{HI}(g) \rightleftharpoons \text{H}_2(g) + \text{I}_2(g) \] ### Step 2: Identify the Equilibrium Constants We have two equilibrium constants: - At room temperature (approximately 298 K), \( K = 2.85 \) - At 698 K, \( K = 1.4 \times 10^{-2} \) ### Step 3: Analyze the Change in Equilibrium Constant with Temperature The equilibrium constant \( K \) is dependent on temperature. For exothermic reactions, increasing the temperature typically decreases the value of \( K \), while for endothermic reactions, increasing the temperature increases the value of \( K \). ### Step 4: Compare the Values of \( K \) - At 298 K, \( K = 2.85 \) (higher value) - At 698 K, \( K = 1.4 \times 10^{-2} \) (much lower value) Since the value of \( K \) decreases when the temperature is increased from 298 K to 698 K, this suggests that the reaction is exothermic. ### Conclusion Since the equilibrium constant decreases with an increase in temperature, we conclude that the reaction is exothermic. ### Final Answer The correct implication is that the reaction is **exothermic**. ---

To determine the nature of the reaction based on the given equilibrium constants at two different temperatures, we can follow these steps: ### Step 1: Understand the Reaction The reaction given is: \[ 2 \text{HI}(g) \rightleftharpoons \text{H}_2(g) + \text{I}_2(g) \] ### Step 2: Identify the Equilibrium Constants We have two equilibrium constants: ...
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