Equilibrium Constant from Nernst Equation — Prelims Questions

For a redox reaction, the standard cell potential ($E^\circ_{cell}$) is $+0.32\,\text{V}$ at $298\,\text{K}$. If 4 electrons are transferred in the balanced reaction, what is the equilibrium constant ($K_c$) for this reaction?

The standard cell potential for the reaction $2Cr(s) + 3Cd^{2+}(aq) \rightarrow 2Cr^{3+}(aq) + 3Cd(s)$ is $E^\circ_{cell} = +0.34\,\text{V}$ at $298\,\text{K}$. What is the equilibrium constant ($K_c$) for this reaction?

Which of the following statements is TRUE regarding a galvanic cell at equilibrium?

If the equilibrium constant ($K_c$) for a reaction is $1.0 \times 10^{-10}$ at $298\,\text{K}$ and $n=2$, what is the standard cell potential ($E^\circ_{cell}$) for this reaction?

For the reaction $A(aq) + B(s) \rightleftharpoons C(aq) + D(s)$, the standard cell potential is $E^\circ_{cell}$. At $310\,\text{K}$, the equilibrium constant is $K_c$. Which of the following expressions correctly relates $E^\circ_{cell}$ and $K_c$ at $310\,\text{K}$?

A galvanic cell has a standard cell potential ($E^\circ_{cell}$) of $+0.80\,\text{V}$ at $298\,\text{K}$. If the reaction involves the transfer of 1 electron, calculate the equilibrium constant ($K_c$).