Law of Chemical Equilibrium — Prelims Questions

For the reaction $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$, at a certain temperature, the equilibrium concentrations are $[SO_2] = 0.6\,\text{M}$, $[O_2] = 0.8\,\text{M}$, and $[SO_3] = 1.2\,\text{M}$. Calculate the value of the equilibrium constant $K_c$ for this reaction.

For the reaction $PCl_5(g) \rightleftharpoons PCl_3(g) + Cl_2(g)$, the value of $K_c$ is $0.04\,\text{M}$ at $500\,\text{K}$. Calculate the value of $K_p$ for this reaction at the same temperature. (Given $R = 0.0821\,\text{L atm mol}^{-1}\text{K}^{-1}$)

For which of the following reactions is $K_p = K_c$?

For the reaction $A(g) + B(g) \rightleftharpoons C(g) + D(g)$, the equilibrium constant $K_c = 100$ at $300\,\text{K}$. If at a particular instant, the concentrations are $[A] = 0.1\,\text{M}$, $[B] = 0.1\,\text{M}$, $[C] = 1.0\,\text{M}$, and $[D] = 1.0\,\text{M}$, in which direction will the reaction proceed?

Which of the following statements is TRUE regarding chemical equilibrium?

For the heterogeneous equilibrium $CaCO_3(s) \rightleftharpoons CaO(s) + CO_2(g)$, which of the following expressions correctly represents $K_p$?