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The Carnot Cycle

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Efficiency of Carnot Engine

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The efficiency is the ratio of the work done by the engine to the heat absorbed from the hot reservoir, given by the equation η=1TcoldThot\eta = 1 - \frac{T_cold}{T_hot}.

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Isentropic Expansion

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An adiabatic process where the gas expands, doing work on the surroundings, and the entropy remains constant.

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Isothermal Expansion

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A process in which the gas expands slowly in thermal contact with a heat reservoir at constant temperature, doing work and absorbing heat.

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Heat Rejection

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During the isothermal compression phase, the system rejects a specific amount of heat to the cold reservoir.

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Isothermal Compression

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A process during which the gas is compressed at a constant temperature and releases heat to the cold reservoir.

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Heat Absorption

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During the isothermal expansion phase, the system absorbs a specific amount of heat from the hot reservoir.

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Isentropic Compression

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An adiabatic process where the gas is compressed, reducing volume without exchange of heat, and the entropy remains constant.

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Reversibility

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A characteristic of Carnot cycles where all processes can be reversed, with the system returning to its initial state without any net change in the external environment.

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