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Common Data Question: Nitrogen gas (molecular weight 28) is enclosed in a cylinder by a piston, at the initial condition of 2 bar, 298 K and 1m3. In a particular process, the gas slowly expands under isothermal condition, until the volume becomes 2m3. Heat exchange occurs with the atmosphere at 298K during this process.

The work interaction for the nitrogen gas is

A
138.6kJ
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B
200kJ
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C
2kJ
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D
200kJ
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Solution

The correct option is A 138.6kJ
For isothermal process
Work =p1V1lnV2V1
=(2×105)×(1)×ln21
138629.4J=138.63kJ

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