2.42. WP The temperature in a process unit is controlled by passing cooling water at a measured rate through a jacket that encloses the unit. Cooling water PROCESS UNIT ROTAMETER p(liters/s) T(°C)...

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Extracted text: 2.42. WP The temperature in a process unit is controlled by passing cooling water at a measured rate through a jacket that encloses the unit. Cooling water PROCESS UNIT ROTAMETER p(liters/s) T(°C) Jacket The exact relationship between the unit temperature T(°C) and the water flow rate o (L/s) is extremely complex, and it is desired to derive a simple empirical formula to approximate this relationship over a limited range of flow rates and temperatures. Data are taken for T versus ø. Plots of T versus ø on rectangular and semilog coordinates are distinctly curved (ruling out T = aø + b and T = aebó as possible empirical functions), but a log plot appears as follows: 300 T(°C) 200 100 10 100 p(L/s) A line drawn through the data goes through the points (ø1 = 25 L/s, T = 210°C) and (ø2 = 40 L/s, T, = 120°C). a. What is the empirical relationship between o and T? Answer b. Using your derived equation, estimate the cooling water flow rates needed to maintain the process unit temperature at 85°C, 175°C, and 290°C. c. In which of the three estimates in Part (b) would you have the most confidence and in which would you have the least confidence? Explain your reasoning.