Question

When you run a heat engine, some (or most) of the energy is “wasted” as heat transferred to the cold reservoir. Suppose someone suggests making a 100% efficient heat engine by using some of the output of the heat engine to run a heat pump to transfer this heat back to the hot reservoir. Let’s do a calculation to see if this is a workable solution. If you have a heat engine that runs between a hot reservoir at 100°C and a cold reservoir at a temperature of 0°C, what is the maximum efficiency? If the engine draws 100 J from the hot reservoir, what is the maximum possible energy output? How much heat is deposited in the cold reservoir? How much energy would it take to run a heat pump between the cold and the hot reservoirs to pump this heat back to the hot reservoir? Compare the energy output of the heat engine and the energy input to the heat pump. Comment on the feasibility of the proposed scheme.

          When you run a heat engine, some (or most) of the energy is “wasted”  as heat transferred to the cold reservoir. Suppose someone suggests  making a 100% efficient heat engine by using some of the output of  the heat engine to run a heat pump to transfer this heat back to the hot  reservoir. Let’s do a calculation to see if this is a workable solution.
If you have a heat engine that runs between a hot reservoir at  100°C and a cold reservoir at a temperature of 0°C, what is  the maximum efficiency?
If the engine draws 100 J from the hot reservoir, what is the  maximum possible energy output? How much heat is  deposited in the cold reservoir?
How much energy would it take to run a heat pump between  the cold and the hot reservoirs to pump this heat back to the  hot reservoir?
Compare the energy output of the heat engine and the  energy input to the heat pump. Comment on the feasibility of  the proposed scheme.

Added by Kacia G.

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