Consider a coal gasification reactor making use of the carbon steam process in which carbon at \(25^{\circ} \mathrm{C}, 1\) bar and water vapor at \(316{ }^{\circ} \mathrm{C}, 1\) bar enter the reactor and the product gas mixture exits at \(927^{\circ} \mathrm{C}\) and \(1 \mathrm{bar}\) The overall reaction is

\[
\mathrm{C}+1.25 \mathrm{H}_{2} \mathrm{O} ightarrow \mathrm{CO}+\mathrm{H}_{2}+0.25 \mathrm{H}_{2} \mathrm{O}
\]

The energy required for this endothermic reaction is provided by an electric resistance heating unit, for operation at steady state, determine in \(\mathrm{kJ} / \mathrm{kmol}\) of carbon:

(a) the electricity requirement,

(b) the exergy entering with the carbon,

(c) the exergy entering with the steam,

(d) the exergy exiting with the product gas,

(e) the exergy destroyed and

(f) the exergetic efficiency.