A thermostat control with dial markings from 0 to 100 is

Chapter 3, Problem 3.51

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A thermostat control with dial markings from 0 to 100 is used to regulate the temperature of an oil bath. A calibration plot on logarithmic coordinates of the temperature, T (OF), versus the dial Student setting, R, is a straight line that passes through the points (R1 = 20.0, T1 = lIO.OF) and (Rz = Workbook 40.0, Tz = 2S0.0F). 78 Chapter 3 Processes and Process Variables (a) Derive an equation for T CF) in terms of R. (b) Estimate the thermostat setting needed to obtain a temperature of 320F. (c) Suppose you set the thermostat to the value of R calculated in part (b) and the reading of a thermocouple mounted in the bath equilibrates at 295F instead of 320F. Suggest several possible explanations

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