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 ('F), versus the dial setting, R, is a straight line that passes through the points (R1 = 20.0, T1 =110.0 °F) and (Rz = 40.0, T2 = 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.

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8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter1: Basic Modes Of Heat Transfer
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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 (°F), versus the dial setting, R, is a straight line that passes through the points (R1 = 20.0,
Ti =110.0 °F) and (R2 = 40.0, T2 = 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.
Transcribed Image Text: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 (°F), versus the dial setting, R, is a straight line that passes through the points (R1 = 20.0, Ti =110.0 °F) and (R2 = 40.0, T2 = 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.
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