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Question

2 mole of an ideal gas at 27C expands iso - thermally and reversibly from a volume of 4 litre to 40 litre. The work done(in kJ)by the gas is:


A

w = -28.72 kJ

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B

w = - 11.488 kJ

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C

w = - 5.736 kJ

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D

w = - 4.988 kJ

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Solution

The correct option is B

w = - 11.488 kJ


n = 2,T = 300 K,V2 = 40 lit,V1 = 4 lit,R = 8.314/K/mol

Amount of work done is reversible isothermal expension

W = 2.303nRTlog(V2V1) = 2.303 × 2 × 8.314 × 300 × log(404) = 11.488kJ


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