A gas does $8$ J of external work during adiabatic expansion. Its temperature falls by $4$ K. The internal energy of the gas will be.

Increase by

8

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Decrease by

4

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Decrease by

8

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Increase by

2

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Solution

The correct option is C Decrease by $8$ J
From first law of thermodynamics, we have
dQ $=$ dU $=$ dW
For an adiabatic change $d q = 0$
so, $d U = - d W = - 8$ J
Hence, the internal energy of the gas decreases by $8$ J.

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