The overall reaction and equilibrium constant value for a hydrogen-oxygen fuel
cell at \(298 \mathrm{~K}\) is
$$
2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2}
\mathrm{O}(l) \quad K=1.28 \times 10^{83}
$$
a. Calculate \(\mathscr{E}^{\circ}\) and \(\Delta G^{\circ}\) at \(298 \mathrm{~K}\)
for the fuel cell reaction.
b. Predict the signs of \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) for the fuel
cell reaction.
c. As temperature increases, does the maximum amount of work obtained from the
fuel cell reaction increase, decrease, or remain the same? Explain.