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Question 30 O out of 1 points A single pass shell-and-tube heat exchanger, like the one shown in the figure below, is to be designed to transfer 100 kW of heat from a hot stream to a cold water flowing through its tubes. The optimal shell- diameter (D) and length (L) (both in meter) are to be determined from the following data so that the cost (C) is minimum. Formulate the objective function expressed as a function of a single variable (L). Number of tubes per unit shell cross-sectional area: 150 Diameter of tubes: d=0.03 m 5000 Rate of heat trasnfer in Watts: x[Total heat transfer surface area of tubes] D1.9 500L Cost of pumping hot water through the shell: DS Cost of shell: 10,000 L Cost of tubes: 2,000 L Shell o o оооо ооооо оооооо оооо Tubes Two useful equations are provided below. TD? Cross-sectional area of shell: 4 Heat transfer surface area of each tube: adL (Clink the link if you are having difficulty viewing the question and solution options: Question.pdf) Selected Answer: : Answers: 500L C- +12,000L D5 A 500L CE C= +12,000L DS A C=671.061 + 12,000 L B. C = 900.63/[ + 12,000 L C. D.None of the above