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(Solved by Expert Tutors) Please help me answer this practice question with a stepwise detailed


explanation, as thermodynamics really confuses me!


Assume the black connecting tube at the bottom of the apparatus (which well assume to be perfectly insulating) has a cross-sectional area of 0.25cm2 and a length of 2.00 cm.
Assuming the thermal conductivity of the fluid is 20.0 W/m?C, (a) how much power in W is transferred through the tube, assuming the temperature of the left and right reservoirs is 0.0?C and 25.0?C respectively?


(b) Assume that the experimenter lets the apparatus sit overnight, but at midnight there is a power failure, so the temperatures of the cold and hot reservoir are no longer fixed at To and T. (We?ll assume all the ice has melted.) Assume both reservoirs are thermally isolated from the outside and the heat flows through the fluid in the insulating tube with the same power flow from part (a) (we?ll assume the power remains constant, even as the temperatures in the reservoirs change). What will be the approximate temperature of the two reservoirs at 8:00 a.m, when the researcher returns? Assume that only the conducting fluid plays any role in the transfer of heat between the two reservoirs, which are assumed to be filled with an equal mass of water.


(c) In part (b) we assumed that the heat flow was constant, and based on the value obtained in
part (a). Would you expect the actual temperature
of the hot reservoir to be higher or lower than the value obtained in part (b)? (Think law of heat conduction)

 


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Apr 19, 2020

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