The temperature in a process unit is controlled by passing cooling water at a measured rate through a jacket that encloses the unit. PROCESS UNIT Cooling water (liter) ROTAMETER TOO Jacket The exact relationship between the unit temperature T(C) and the water flow rate (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 o. Plots of T versus oon rectangular and semilog coordinates are distinctly curved (ruling out T = a0 + b and T = aebo as possible empirical functions), but a log plot appears as follows for a particular cooling jacket. 300 TC) 200 100 10 100 (Ls) Data for other cooling jackets show similar behavior. Aline drawn through the data goes through the points (25.0 L/s, 210.0 C) and ( 45.0 L/s, 120.0C). Expression Which of the following expressions would be most appropriate for correlating the above type of cooling jacket data? OT=a+ OT = ab + = b = O (T/0)a= b Units What are appropriate units for a and b in the expression T = a0b? O a (dimensionless), b (s/L) O a (C), b (s/L) O a ((s/L)b), b (dimensionless) O a (C (s/L)b), b (dimensionless) O a (s/L), b (C) Save for Later Attempts: 0 of 3 used Submit Answer For a particular heating jacket, a line drawn through the data goes through the points (01 = 25.0 (L/s), T1 = 210.0C), (02 = 45.0 L/s, T2 = 120.0C). = What are the values of a and b in the expression T= aqb? a = i C (L/s)-b b II i Save for Later Attempts: 0 of 3 used Submit Answer Using your derived equation, estimate the cooling water flow rates needed to maintain the process unit temperature at 80.0 C, 175.0 C, and 295.0C. 0( 80.0 C) = i L/S 0( 175.0 C) = ) i L/s Q( 295.0 C) = PO i L/S Save for Later Attempts: 0 of 3 used Submit Answer Categorize the probable reliability of each of the three flow rate estimates for the temperatures 80.0 C, 175.0 C, and 295.0C. 80.0 C: 175.0 C: 295.0CC: Least reliable Save for Li Intermediate Att Most reliable