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Question

For a thermodynamic system, the pressure, volume and temperature are related as p=αT2V, where α is a positive constant. The work done for this system in a constant pressure process, if the temperature changes from T0 to 2T0 is


A

2αT20

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B

3αT20

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C

4αT20

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D

None

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Solution

The correct option is B

3αT20


PV=αT2

pdV+VdP=2αTdT

For constant pressure process, dP=0 S

W=pdV=2T0T02αTdT

So pdV=2αTdT,

=3αT20


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