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, T=110.0 °F) and (R2 = 40.0, Tz 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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Q2/
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,
T =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:Q2/ 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, T =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.
Q4/
A liquid mixture is prepared by combining N different liquids with densities pi; p2;...;
Py. The volume of component i added to the mixture is V, and the mass fraction of this
component in the mixture is x,. The components are completely miscible. The following two
formulas provide estimates of the density of the liquid mixture, p, if the volume of the
mixture equals the sum of the pure-component volumes. Only one of the formulas is correct,
however.
(1) p=
1-1
Σ
1
(1) ==
Determine whether (i) or (ii) is the correct formula (show your proof), and then use the
correct formula to estimate the density (8/cm) of a liquid mixture containing 60.0 wt%
acetone, 25.0 wt% acetic acid, and 15.0 wt% carbon tetrachloride.
Transcribed Image Text:Q4/ A liquid mixture is prepared by combining N different liquids with densities pi; p2;...; Py. The volume of component i added to the mixture is V, and the mass fraction of this component in the mixture is x,. The components are completely miscible. The following two formulas provide estimates of the density of the liquid mixture, p, if the volume of the mixture equals the sum of the pure-component volumes. Only one of the formulas is correct, however. (1) p= 1-1 Σ 1 (1) == Determine whether (i) or (ii) is the correct formula (show your proof), and then use the correct formula to estimate the density (8/cm) of a liquid mixture containing 60.0 wt% acetone, 25.0 wt% acetic acid, and 15.0 wt% carbon tetrachloride.
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