Draw a heating curve (such as the one in Figure 12.36 ) for 1 mole of methanol
beginning at \(170 \mathrm{~K}\) and ending at \(350 \mathrm{~K}\). Assume that
the values given here are constant over the relevant temperature ranges.
$$
\begin{array}{ll}
\hline \text { Melting point } & 176 \mathrm{~K} \\
\text { Boiling point } & 338 \mathrm{~K} \\
\Delta \mathrm{H}_{\text {fus }} & 2.2 \mathrm{~kJ} / \mathrm{mol} \\
\Delta \mathrm{H}_{\text {vap }} & 35.2 \mathrm{~kJ} / \mathrm{mol} \\
\mathrm{C}_{\mathrm{s}, \text { solid }} & 105 \mathrm{~J} / \mathrm{K} \\
\mathrm{C}_{\mathrm{s}} \text { , liquid } & 81.3 \mathrm{~J} / \mathrm{mol}
\cdot \mathrm{K} \\
\mathrm{C}_{\mathrm{s}, \text { gas }} & 48 \mathrm{~J} / \mathrm{mol} \cdot
\mathrm{K} \\
\hline
\end{array}
$$