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Question

For an ideal gas, the value of (dUdV)T is:

A
positive
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B
zero
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C
negative
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D
interchangeable
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Solution

The correct option is B zero
For an ideal gas,
dU=nRdT
since, it is a function of dT only and is independent of volume so its derivative with respect to volume at constant temperature will be zero, i.e,
(dUdV)T =0.
Hence, the answer is B.

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