At what temperature must a hot reservoir operate in order to achieve a 30arnot efficiency when the cold reservoir operates at 200 °c?

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03-08-2022
Physics

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At what temperature must a hot reservoir operate in order to achieve a 30arnot efficiency when the cold reservoir operates at 200 °c?

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-08-14T15:03:35-04:00

At temperature 402.71° C must a hot reservoir operate in order to achieve a 30% Carnot efficiency when the cold reservoir operates at 200 °C.

The Carnot engine is a theoretical thermodynamic cycle proposed by Leonard Carnot. It estimates the maximum possible efficiency that a heat engine during the conversion process of heat into work and, conversely, working between two reservoirs can possess.

The Carnot efficiency depends only on the temperature of the hot source and the cold sink. Carnot efficiency describes the maximum thermal efficiency that a heat engine can achieve as permitted by the Second Law of Thermodynamics.

Given

Efficiency = 30 %

T2 = absolute temperature of the heat source = T2

T1 = absolute temperature of the heat sink = 200 °C

efficiency = T2 - T1 / T2

30 /100= T2 - 200 / T2

T2 = 675.71° K

T2 = 402.71° C

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