Chapter 5, Problem 76E

Water gas, a mixture of ${\text{H}}_2$ and CO, is an important industrial fuel produced by the reaction of steam with red hot coke, essentially pure carbon: $\text{C}\left(s\right)+{\text{H}}_2\text{O}\left(g\right)\to \text{CO}\left(g\right)+{\text{H}}_2\left(g\right)$.

(a) Assuming that coke has the same enthalpy of formation as graphite, calculate $\Delta H_{298}^{°}$ for this reaction.

(b) Methanol, a liquid fuel that could possibly replace gasoline, can be prepared from water gas and additional hydrogen at high temperature and pressure in the presence of a suitable catalyst: $2{\text{H}}_2\left(g\right)+\text{CO}\left(g\right)\to {\text{CH}}_2\text{OH}\left(g\right)$.

Under the conditions of the reaction, methanol forms as a gas. Calculate for this reaction and for the condensation of gaseous methanol to liquid methanol.

(c) Calculate the heat of combustion of 1 mole of liquid methanol to ${\text{H}}_2\text{O}\left(g\right)$ and ${\text{CO}}_2\left(g\right)$.