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A given system undergoes a change in which the work done by the system equals the decrease in its internal energy. The system must have undergone an
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adiabatic change
As work done, $\Delta W=\Delta Q-\Delta U$
Since in adiabatic process $\Delta Q=0$ i.e., there is no exchange of heat, the work done by the system is equal to the decrease in its internal energy.
Since in adiabatic process $\Delta Q=0$ i.e., there is no exchange of heat, the work done by the system is equal to the decrease in its internal energy.
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