Q.

Pressure P, volume V and temperature T of a certain material are related by  P=αT2V. Here,  α  is a constant. Work done by the material when temperature changes from  T0   to  2T0  while pressure remains constant is;

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a

6αT03

b

32αT02

c

2αT02

d

3αT02

answer is D.

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Detailed Solution

W=nRN1ΔT ; N = polytrophic constant  

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Pressure P, volume V and temperature T of a certain material are related by  P=αT2V. Here,  α  is a constant. Work done by the material when temperature changes from  T0   to  2T0  while pressure remains constant is;