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Work done in Isothermal Irreversible Process

The volume of...

Question

The volume of an ideal gas is doubled in an isothermal process. Then, which of the following is true?

A

Work done by the gas is positive

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B

Work done by the gas is negative

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C

Internal energy of the system decreases

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D

Internal energy of the system increases

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Solution

The correct option is A Work done by the gas is positive
For isothermal process,
$d U = 0$
Work done $= d W = p (V_{2} - V_{1})$
$∴ d W = + p V$ $[∵ V_{2} = 2 V_{1} = 2 V]$

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