It is desired to dry \(10 \mathrm{~kg} / \mathrm{min}\) of soap continuously from \(20 \%\) moisture by weight to \(4 \%\) moisture in a countercurrent stream of hot air. The air enters the dryer at the rate of \(30.0 \mathrm{~m}^{3} / \mathrm{min}\) at \(350 \mathrm{~K}, 101.3 \mathrm{kPa}\), and initial water-vapor partial pressure of \(2 \mathrm{kPa}\). The dryer operates at constant temperature and pressure.

(a) Calculate the moisture content of the entering air, in \(\mathrm{kg}\) of water/kg of dry air.

(b) Calculate the flow rate of dry air, in \(\mathrm{kg} / \mathrm{min}\).

(c) Calculate the water-vapor partial pressure and relative humidity in the air leaving the dryer.