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 (R 1 20 0 T 1 110 0F) and (R 2 40 0 T 2 250 0F) (a) Derive an equation for T(F) 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

Question: 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

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 (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.

(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 295°F instead of 320°F. Suggest several possible explanations.

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