A water chiller circulates a water stream of 0.1 kg/s through a pipe immersed in a bath of crushed ice and water. For this reason, the pipe wall temperature may be modeled as constant, Tw = 0°C. The inlet temperature of the water steam is Tm, i= 48°C. The pipe is long enough so that the flow is hydrodynamically and thermally fully developed over most of the pipe length L. The mean temperature at the pipe outlet is Tm, o = 6° C. a) Calculate the total heat transfer rate between the stream and the 0°C bath. b) If the inner diameter Di = 0.0254 m, determine the required length L of the pipe. c) Consider the option of using a different pipe with the diameter D2 = Di/2. The mass flow rate, and the inlet and outlet temperatures of the water stream are fixed by design. What is the required length of the new pipe (L2)? d) What is the rate at which ice is converted into liquid water, assuming the overall bath is well insulated?