3. Two samples of gas initially at the same temperature and pressure arecompressed from volume V to V/2 one sample is compressed isothermallyand the other adiabatically in which case the pressure will be higher?Explain?

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Arun · Answer

Dear Vaibhav Suppose Final pressure during adiabatic compression = Pa Final pressure during isothermal compression = Pi For isothermal compression P*V = Pi * (V/2) Pi = 2P Similarly Pa = 2^(gamma) P Now Pa/Pi = 2^(gamma)/2 As gamma>1 Hence Pa/Pi >1 Hence Pa > Pi Final pressure during adiabatic compression is higher than that in isothermal compression. Regards Arun (askIITians forum expert)

Kushagra Madhukar · Answer

Dear student, Please find the solution to your problem. Suppose Final pressure during adiabatic compression = Pa Final pressure during isothermal compression = Pi For isothermal compression P*V = Pi * (V/2) Pi = 2P Similarly Pa = 2^(gamma) P Now Pa/Pi = 2^(gamma)/2 As gamma>1 Hence Pa/Pi >1 Hence Pa > Pi Final pressure during adiabatic compression is higher than that in isothermal compression. Thanks for the question. Regards, Kushagra

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3. Two samples of gas initially at the same temperature and pressure arecompressed from volume V to V/2 one sample is compressed isothermallyand the other adiabatically in which case the pressure will be higher?Explain?

3. Two samples of gas initially at the same temperature and pressure arecompressed from volume V to V/2 one sample is compressed isothermallyand the other adiabatically in which case the pressure will be higher?Explain?

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3. Two samples of gas initially at the same temperature and pressure arecompressed from volume V to V/2 one sample is compressed isothermallyand the other adiabatically in which case the pressure will be higher?Explain?

3. Two samples of gas initially at the same temperature and pressure arecompressed from volume V to V/2 one sample is compressed isothermallyand the other adiabatically in which case the pressure will be higher?Explain?

2 Answers

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