A power plant operates between a hot reservoir consisting of a combustion chamber or a nuclear reactor and a cold reservoir consisting of the water of a river. It is modelled as a thermal machine operating between the hot reservoir at temperature T+ and the cold reservoir at temperature T−. Analyse this power plant by using the following instructions:a) Determine the maximum efficiency ηC of this power plant and the thermal power PQ+, describing the heat exchange with the combustion chamber.b) Assume that its real efficiency is η = k ηC and find the thermal power PQ−, describing the heat exchange with the river.c) Determine the temperature difference ΔT of the water flowing at a rate V˙ down the river. The water has a density m and a specific heat at constant pressure per unit of mass c∗p.Numerical Application:

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Pw = - 750 MW, T+ 1,000 kg/m³ and c = 300° C, T- = 4, 181 J/kg K. = 19° C, k 60%, V = = 200 m³/s, m =