At \(1000 \mathrm{K},\) an equilibrium mixture in the reaction
\(\mathrm{CO}_{2}(\mathrm{g})+\mathrm{H}_{2}(\mathrm{g}) \rightleftharpoons
\mathrm{CO}(\mathrm{g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \quad\) contains
\(0.276 \mathrm{mol} \quad \mathrm{H}_{2}, 0.276 \mathrm{mol} \mathrm{CO}_{2},
\quad 0.224 \mathrm{mol} \mathrm{CO}, \quad\) and
\(0.224 \mathrm{mol} \mathrm{H}_{2} \mathrm{O}\)
(a) What is \(K_{\mathrm{p}}\) at \(1000 \mathrm{K} ?\)
(b) Calculate \(\Delta G^{\circ}\) at \(1000 \mathrm{K}\).
(c) In which direction would a spontaneous reaction occur if the following
were brought together at 1000
K: \(0.0750 \mathrm{mol} \mathrm{CO}_{2}, 0.095 \mathrm{mol} \mathrm{H}_{2},
0.0340 \mathrm{mol} \mathrm{CO},\) and
\(0.0650 \mathrm{mol} \mathrm{H}_{2} \mathrm{O} ?\)