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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 7.5
work done is given as:
W=PV=nRTT=PVnR
Given that: -
n=2 moles
P=1 atm
Vi=2LVf=5L
V=VfVi=52=3LT=1×32R=32R
Now, as we know that internal energy is given as:
U=nCvT
Since the gas is diatomic
Cv=5R2U=2×5R2×32R=7.5L atm

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