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Question: 67 in fig 6le a chunk of copper having thermal...

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6.7 In Fig. 6.le, a chunk of copper having thermal capacitance C is heated to an initial temperature To and then immersed suddenly in a very large vat of water at lower temperature T. Obtain the equation of motion and the characteristic equation. Find the temperature of the copper as a function of time. Assume that the temperature of the water remains always at T, and that the temperature throughout the copper is uniform at any given time. [The equation of motion is readily obtained by using (3.1) and (3.2), as in Prob. 3.1. Let the copper-water interface have total thermal resistance R.] dT 1 di-でYnet | Copper at temperature T No work t Tank at temperature T1 3.1 (3.2 19 (e) Thermal experiment

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