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Question

A monoatomic gas of n-moles is heated from temperature T1 to T2 under two different conditions
(i) at constant volume and
(ii) at constant pressure.
The change in internal energy of the gas is :

A
More for (i)
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B
More for (ii)
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C
Same in both cases
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D
Independent of number of moles
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Solution

The correct option is C Same in both cases
Change in internal energy will be
U=nCvT for both process (at constant volume and constant pressure). It doesn't depend upon type of process. It is a state function, so change in temperature is same in both cases hence U is same in both.

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