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

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SUMMARY

In an adiabatic cycle involving an ideal gas, the temperature does return to its initial value upon completion of the cycle. This is due to the principles of thermodynamics, where the system's state is identical at the start and end of the cycle. During the process, energy is transferred between reservoirs, and while work is extracted, the overall entropy produced does not affect the temperature return to the initial state.

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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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