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Which one of ...

Question

Which one of the following is applicable for an adiabatic expansion of ideal gas?

A

Δ U = 0

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B

W = Δ U

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C

W = - Δ U

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D

W = 0

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Solution

The correct option is D $W = - Δ U$
Since, in any adiabatic process the amount of heat lost or gain by any system is $0$ .
Hence, $q = 0$
According to 1st law of thermodynamics,
$q = Δ U + W$
Hence, $0 = Δ U + W$
=> $W = - Δ U$
Hence, answer is option $C$ .

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