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Question

For irreversible expansion of ideal gas under isothermal condition, the correct option is:

A
ΔU=0, ΔStotal0
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B
ΔU=0, ΔStotal=0
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C
ΔU=0, ΔStotal=0
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D
ΔU0, ΔStotal0
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Solution

The correct option is A ΔU=0, ΔStotal0
As We know,
ΔU=nCVΔT
In the case of isothermal process, ΔT is zero. The value of ΔU is also zero from the relation.
ΔU=nCVΔT
Thus, for reversible and irreversible expansion for an ideal gas, under isothermal conditions, ΔU=0. But the value ΔS for irreversible expansion of an ideal gas under isothermal conditions is not equal to zero.
The total entropy change (ΔStotal) for the system and surroundings of a spontaneous process is given by
ΔStotal=ΔSsystem+ΔSsurrounding>0

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