Air at 200°F and 1 atm absolute pressure is to be cooled to 70°F by passing it through a 2-in. ID copper pipe submerged in an ice bath. The air flow rate is 70 lb/h. Neglecting the heat transfer resistance through the ice bath and through the copper pipe, determine:

(a) The heat transfer coefficient inside the pipe.

(b) The required length of the pipe.

(c) The total rate of heat transfer and the rate at which ice will melt in the ice bath.