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Second Law of Thermodynamics

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The Kelvin-Planck Statement

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It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce a net amount of work.

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Perpetual Motion Machines of the Second Kind

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The second law of thermodynamics rules out the possibility of machines that can operate perpetually and provide energy without an input, known as perpetual motion machines of the second kind.

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Carnot Efficiency

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Carnot efficiency describes the maximum possible efficiency of a heat engine operating between two heat reservoirs, determined by their temperatures.

η=1TcTh\eta = 1 - \frac{T_c}{T_h}

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Second Law of Thermodynamics - Entropy

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In any closed system, the total entropy either increases or remains constant over time, never decreasing.

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Refrigerators and Heat Pumps

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Refrigerators and heat pumps require external work to transfer heat from a colder body to a hotter body, in accordance with the second law.

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The Clausius Statement

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It is impossible to construct a device that will operate in a cycle and produce no effect other than the transfer of heat from a cooler to a hotter body.

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Thermodynamic Equilibrium

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A system is in thermodynamic equilibrium when it is in thermal, mechanical, and chemical equilibrium, resulting in no net flow of energy or matter and no change in entropy.

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Heat Engines

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Heat engines operate by converting heat energy to work, and in the process, they cannot be 100% efficient due to the increase in entropy.

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Spontaneous Processes

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A spontaneous process in thermodynamics is one that occurs naturally and without external influence, leading to an increase in the entropy of the system and its surroundings.

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Entropy and Probability

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The concept of entropy is linked to the probability distribution of microstates; systems tend to progress towards more probable (higher entropy) states.

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