Is it possible to transfer heat from a cold reservoir to a hot reservoir? (a) No

Question

Is it possible to transfer heat from a cold reservoir to a hot reservoir? (a) No: this is forbidden by the second law of thermodynamics. (b) Yes: this will happen naturally (c) Yes, but work will have to be done. (d) Theoretically yes, but it hasn't been accomplished yet. Three moles of an ideal gas are taken around the cycle abc shown in the figure. For this gas, the molar heat capacity C_p = 29.1 J/mol middot K. Process is at constant pressure, process ba is at constant volume, and process cb is adiabatic. The temperatures of the gas in states a, c, and b are T_a = 300 K, T_c = 492 K, and T_b = 600 K. The universal gas constant R = 8.3 J/mol middot K. (a) What is the change in internal energy in one cycle? (b) What is the work done in process ba? (c) Calculate the work done in process ac. (d) What is the heat exchanged in process cb? (e) Calculate the work done in process cb. (f) Calculate the net work for the cycle. (g) Calculate the heat absorbed in this cycle. (h) What is the coefficient of performance of a refrigerator that functions according to this cycle?

Explanation / Answer

7) option c is correct.

Heat does not naturally flow from cold to hot reservoir but if work has is done then it is possible.

It is possible but work has to be done.

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