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Question

A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 litre to a volume of 14 litre. In doing so, it absorbs 800 J thermal energy from surrounding . Determine U for the process.

A
213.25 J
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B
417.30 J
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C
320.75 J
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D
150.32 J
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Solution

The correct option is A 213.25 J
Given,
Heat absorbed, q=800 J
Again, the gas expands from 4 L to 14 L
V=(144)=10 litre
We know, work done by the gas, w=PΔV
w=1×10=10 litre - atm

Again,
1Latm=101.325 J
10 Latm=1013.25 J
According to the first law of thermodynamics,
ΔU=q+w
U=q+w=(8001013.25)=213.25 J

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