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One mole of o...

Question

One mole of oxygen of volume $1$ litre at $4$ atm pressure to attains $1$ atm pressure by result of isothermal expansion. Find work done by the gas.

A

155 J

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B

206 J

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C

355 J

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D

552 J

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Solution

The correct option is C $552 J$
Work done is given by: $W = n R T ln \frac{P_{1}}{P_{2}} = P V ln \frac{P_{1}}{P_{2}} = 4 \times 1 \times ln \frac{4}{1} = 5.545 L - a t m = 5.545 \times 100 J \approx 554 J$ .

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