Astream of air at 500°c and 835 torr with a dew point of 30°c flowing at a rate of 1515 l/s is to be cooled in a sprayed cooler. a fine mist of liquid water at 25°c is sprayed into the hot air at a rate of 110.0 g/s and evaporates completely. the cooled air emerges at 1 atm.

a. calculate the final temperature of the emerging air stream, assuming that the process is adiabatic. (suggestion: derive expressions for the enthalpies of dry air and water at the outlet air temperature, substitute them into the energy balance, and use a spreadsheet to solve the resulting fourth-order polynomial equation)
b. at what rate (kw) is heat transferred from the hot air feed stream in the spray cooler? what becomes of this heat?