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No. All processes involving heat transfer are not reversible, since they result in an increase in entropy. Isothermal expansion implies heat transfer to maintain the system at a constant temperature. Normally an expanding gas would cool if there were no heat entering the system. Adiabatic processes involve no heat transfer and are reversible. The temperature can (and usually does) change during an adiabatic process.

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Q: Is isothermal expansion reversible under ideal conditions?
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