A stream of moist air enters an adiabatic saturator at $45^{\circ} \mathrm{C}$ and $101$ $\mathrm{kPa}$ and leaves as a saturated mixture at $30^{\circ} \mathrm{C}$. Make-up water to the saturator is supplied at $30^{\circ} \mathrm{C}$. The amount of make-up water (in grams per kg of dry air) supplied is $\_\_\_\_$ (rounded off to two decimal places).
Use the following data:
Specific heat capacity of water is $4.2 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}$
Specific heat capacity of air at constant pressure is $1 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}$
Saturated water properties:
At $30^{\circ} \mathrm{C}$ : specific enthalpy of saturated water vapor is $2556 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}$, specific enthalpy of saturated liquid water is $125.7 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}$, and saturation pressure is $4.25$ kPa
At $45^{\circ} \mathrm{C}$ : specific enthalpy of saturated water vapor is $2582 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}$, specific enthalpy of saturated liquid water is $188.4 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}$, and saturation pressure is $9.60$ kPa
