Consider the reaction
$$2 \mathrm{NO}_{2}(g) \rightleftharpoons \mathrm{N}_{2} \mathrm{O}_{4}(g)$$
For each of the following mixtures of reactants and products at $25^{\circ} \mathrm{C}$, predict the direction in which the reaction will shift to reach equilibrium.
a. $P_{\mathrm{NO}_{2}}=P_{\mathrm{N}_{2} \mathrm{O}_{4}}=1.0 \mathrm{~atm}$
b. $P_{\mathrm{NO}_{2}}=0.21 \mathrm{~atm}, P_{\mathrm{N}_{2} \mathrm{O}_{4}}=0.50 \mathrm{~atm}$
c. $P_{\mathrm{NO}_{2}}=0.29 \mathrm{~atm}, P_{\mathrm{N}_{\mathrm{O}} \mathrm{O}_{4}}=1.6 \mathrm{~atm}$