Is work done in adiabatic process quasi static or not?
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What kind of adiabatic process are you speaking about? A reversible adiabatic process is quasistatic so any work is done quasistatically. In some irreversible adiabatic processes, work is done but it is done quickly, so it is not quasistatic. In some irreversible adiabatic processes, such as a free expansion of a gas, no work is done at all.
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