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Question

# In a container, two mole of a diatomic ideal gas is allowed to expand against 1 atm pressure and its volume changes from 2 litre to 5 litre isobarically. Calculate the change in internal energy (in atm L).

A
7.5
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B
6.5
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C
5
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D
3
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Solution

## The correct option is A 7.5Solution:- (A) 7.5W=PΔV=nRΔT⇒ΔT=PΔVnRGiven that:-n=2 molesP=1atmVi=2LVf=5LΔV=Vf−Vi=5−2=3L∴ΔT=1×32R=32RNow, as we know that,ΔU=nCvΔTSince the gas is diatomic.∴Cv=5R2∴ΔU=2×5R2×32R=7.5L−atmHence the change in interal will be 7.5L−atm.

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