One mole of an ideal gas at initial temperature T , undergoes a quasi-static process during which the volume V is doubled. During the process the internal energy U obeys the equation U = aV ³ , where a is a constant. The work done during th

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One mole of an ideal gas at initial temperature T , undergoes a quasi-static process during which the volume V is doubled. During the process the internal energy U obeys the equation U = aV ³ , where a is a constant. The work done during this process is-

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Correct answer: D. 7 RT / 3

U=a V³ f n R T 2 =a V³P V=R T P V R =a V³P=C V²W= _ V ^ 2 V P d V= _ V ^ 2 V C V² d V= C 3 (8 V³-V³ )= 7 V³ C 3 f R T 2 =a V³P V=R T f P V 2 =a V³P= 2 a f V²C= 2 a f W= 7 3 V³ 2 a f = 7 3 f f n R T= 7 R T 3

One mole of an ideal gas at initial temperature T , undergoes a quasi-static process during which the volume V is doubled. During the process the internal energy U obeys the equation U = aV ³ , where a is a constant. The work done during this process is-

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