If $\mathrm{K}_{\mathrm{C}}$ for the equilibrium reaction $2 \mathrm{ABC}(g) ightleftharpoons 2…

If $\mathrm{K}_{\mathrm{C}}$ for the equilibrium reaction $2 \mathrm{ABC}(g) ightleftharpoons 2 \mathrm{AB}(g)+\mathrm{C}_2(g)$ is X at $\mathrm{T}(\mathrm{K})$, its $\mathrm{K}_{\mathrm{P}}$ at the same temperature is :
  1. X.T
  2. X(RT)
  3. $\left(\frac{\mathrm{X}}{\mathrm{T}}ight) \mathrm{R}$
  4. $\frac{\mathrm{XT}}{\mathrm{R}}$

Solution

\(\begin{aligned} & 2 A B C ightleftharpoons 2 A B+C_2 \\ & \quad (g) \qquad(g) \\ & K_c=X \text { [given] } \\ & k_p=K_C(R T)^{\Delta n} \\ & \Delta n=n_p-n_R=3-2=1 \\ & k_p=k_C(R T)^{\prime}=X(R T) \end{aligned}\)

Asked in: JEE-TOPICTESTS-CHEMISTRY

Practice more EQUILIBRIUM questions on Aicharya