Q2/A thermostat control with dial markings from 0 to 100 is used to regulate thetemperature of an oil bath. A calibration plot on logarithmic coordinates of the temperature,T ("F), versus the dial setting, R, is a straight line that passes through the points (R1 = 20.0,T1 =110.0 °F) and (R2 = 40.0, 72 = 250.0 °F).(a) Derive an equation for T ( F) in terms of R.(b) Estimate the thermostat setting needed to obtain a temperature of 320°F.

Given that,The dial markings of a thermostat control which regulate the temperature of an oil bath=…

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