The value of is 64 at 800 K for the reaction . The value of for the following reaction is:

Question

The value of $K_{c}$ is 64 at 800 K for the reaction $N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g)$ .

The value of $K_{c}$ for the following reaction is: $N H_{3} (g) ⇌ \frac{1}{2} N_{2} (g) + \frac{3}{2} H_{2} (g)$

Smart Achievers · Accepted Answer

(2)

$N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g); K_{c}$

$2 N H_{3} (g) ⇌ N_{2} (g) + 3 H_{2} (g); \frac{1}{K_{c}}$

$Multiplying by \frac{1}{2}, reaction becomes$

$N H_{3} (g) ⇌ \frac{1}{2} N_{2} (g) + \frac{3}{2} H_{2} (g)$

$∴$ $New K_{c} = {(\frac{1}{K_{c}})}^{\frac{1}{2}} = {(\frac{1}{64})}^{\frac{1}{2}} = \frac{1}{8}$

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