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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: \frac{C_{p}}{R}=A+B T+C T^{2}, T[=] K where A = 1.924, B = 14.394 × 10−³ K−¹, and C = -4.392×10−6 K−² for ethylene, and A = 1.967,B = 31.630 × 10−³ K−¹, and C = -9.873×10−6 K−² for 1-butene. (a) Ethylene at 200°C is fed at 10 mol/s into a heat exchanger that adds heat at a rate of 400 kW. (b) 1-butene at 260°C is fed at 15 mol/s into a heat exchanger that adds heat at a rate of 2000 kW. Now suppose you take the streams exiting from (a) and (b) and allow them to exchange heatbetween 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?

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