Sketch \(T-Q\) diagrams for the following situations:

a. The condenser on a distillation column; vapor condenses at \(160^{\circ} \mathrm{C}\) and is sub-cooled to \(130^{\circ} \mathrm{C}\), cooling water enters at \(30^{\circ} \mathrm{C}\) and exits at \(40^{\circ} \mathrm{C}\).

b. The reboiler on the same distillation column; vapor is reboiled at \(240^{\circ} \mathrm{C}\), and saturated, highpressure steam is condensing to saturated water.

c. Methanol, initially at \(30^{\circ} \mathrm{C}\) and atmospheric pressure, is vaporized to \(150^{\circ} \mathrm{C}\) and atmospheric pressure, and saturated, medium-pressure steam is condensed to saturated water.