Chemical and Ionic Equilibrium - Result Question 10

Answer:

Correct Answer: 10. (c)

Solution:

10. (i) $A_2(g)+B_2(g) \rightleftharpoons 2 A B(g) ; \qquad K_1=\dfrac{[A B]^2}{\left[A_2\right]\left[B_2\right]}$

$\begin{aligned} & \text { (ii) } 6 A B(g) \rightleftharpoons 3 A_2(g)+3 B_2(g) \\ & \qquad K_2=\dfrac{\left[A_2\right]^3\left[B_2\right]^3}{[A B]^6}=\dfrac{1}{\left(\dfrac{[A B]^2}{\left[A_2\right]\left[B_2\right]}\right)^3}=\dfrac{1}{K_1^3} \\ & \Rightarrow \quad K_2=K_1^{-3}\end{aligned}$