A gas containing water vapor has a dry-basis composition of 7.5 mole% CO, 1 1.5% CO2, 0.5%。2, and 80.5% N2. The gas leaves a catalyst regeneration unit at 620°C and i atm with a dew point of 57°C at a flow rate of 28.5 SCMH [m(STP)/h]. Valuable solid catalyst particles entrained in the gas are to be recovered in an electrostatic precipitator, but the gas must first be cooled to 425°C to prevent damage to the precipitator electrodes. The cooling is accomplished by spraying water at 20°C into the gas.

(a) Use simultaneous material and energy balances on the spray cooler to calculate the required water feed rate (kg/h). Treat the spray cooler as adiabatic and neglect the heat transferred from the entrained solid particles as they cool.
(b) In terms that a high school senior could understand, explain the operation of the spray cooler in this problem. (What happens when the cold water contacts the hot gas?)