Does the temperature return to its initial value in an adiabatic cycle?

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In an adiabatic cycle involving an ideal gas, the temperature returns to its initial value upon completion of the cycle. This is due to the principle that the system's state is identical at the start and end of any thermodynamic cycle. During the cycle, energy is transferred between reservoirs, resulting in work extraction and entropy production. However, the temperature remains constant after each complete cycle, regardless of the number of cycles performed. Thus, the temperature does not increase with successive cycles in an ideal adiabatic process.
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In an adiabatic compression/expansion cycle of an ideal gas, does the temperature return to its initial value after the cycle has completed? Or does it increase as the cycles continue?
 
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At the completion of any thermodynamic cycle, the system state is identical to the initial system state. Energy was transferred from one reservoir to another during which some work was extracted and some entropy produced.
 
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