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Is it possible to increase the temperature of a gas without adding heat to it? Explain.

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In adiabatic compression, the temperature of gas increases while no heat is added to the system.

dQ=0

dQ=dU+dW

dU=-dW 

So in compression work done on the system is negative. Thus, dU is positive, increasing the temperature of the system.  As the internal energy of gas increases, its temperature decreases.

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