Equilibrium Constant — Prelims Questions

For the reaction $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$, at $727^\circ C$, the equilibrium concentrations are $[SO_2] = 0.60\,\text{M}$, $[O_2] = 0.82\,\text{M}$, and $[SO_3] = 1.90\,\text{M}$. Calculate the value of the equilibrium constant, $K_c$, for this reaction.

For the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$, the value of $K_c$ is $0.061\,\text{M}^{-2}$ at $500\,\text{K}$. What is 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 the reaction $A(g) + B(g) \rightleftharpoons C(g)$, if the initial concentrations are $[A] = 2.0\,\text{M}$ and $[B] = 1.0\,\text{M}$, and at equilibrium, $[C] = 0.8\,\text{M}$. What is the value of $K_c$?

For the reaction $2NOCl(g) \rightleftharpoons 2NO(g) + Cl_2(g)$, the value of $K_c$ is $4.0 \times 10^{-4},\text{M}$ at $25^\circ C$. If at a certain moment, the concentrations are $[NOCl] = 0.2\,\text{M}$, $[NO] = 0.01\,\text{M}$, and $[Cl_2] = 0.01\,\text{M}$, in which direction will the reaction proceed?

Which of the following statements about the equilibrium constant ($K$) is INCORRECT?

For the reaction $C(s) + H_2O(g) \rightleftharpoons CO(g) + H_2(g)$, which of the following is the correct expression for $K_p$?

If the equilibrium constant $K_c$ for the reaction $A + B \rightleftharpoons C$ is $2.0$, what is the equilibrium constant for the reaction $2C \rightleftharpoons 2A + 2B$?