A heat exchanger is a system used to transfer heat between two or more fluids. Consider the steady flow of a substance through a heat exchanger at atmospheric pressure and determine the exit temperature of the substance for the following processes. The constant-pressure heat capacities are well described by the following equation: Rcp=A+BT+CT2,T[=]K where A=1.924,B=14.394103K1, and C=4.392106K2 for ethylene, and A=1.967, B=31.630103K1, and C=9.873106K2 for 1-butene. (a) Ethylene at 200C is fed at 10mol/s into a heat exchanger that adds heat at a rate of 400kW. Hint: To obtain a numerical solution, you may need to use a "solver" or an iterative method. (b) 1-butene at 260C is fed at 15mol/s into a heat exchanger that adds heat at a rate of 2000kW. Now suppose you take the streams exiting from (a) and (b) and allow them to exchange heat between each other. Both streams exit at the same final temperature. (c) What is the exit temperature of both streams and at what rate is heat exchanged in the process? Hint: For this part, it may be useful to consider writing two energy balances with different choices of systems