Grade 11Thermal Physics

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?

Vaibhav shukla

8 Years agoGrade 11

2 Answers

Arun

8 Years ago

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

6 Years ago

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?

Vaibhav shukla

2 Answers

Arun

Kushagra Madhukar

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