Grade 11Thermal Physics

The equation of state of a gas is PV=nRT(1-B/V),where R is the constant and B is a function of temperature alone.show that the workdone by one mole of this gas during a quasi static isothermal expansion from initial volume Vi to Vf.

lawal jubril olamilekan

6 Years agoGrade 11

2 Answers

Saurabh Koranglekar

6 Years ago

Dear student

Please find the link attached

https://www.askiitians.com/iit-jee-thermal-physics/work-done-during-isothermal-expansion.html

Regards

Vikas TU

6 Years ago

Dear student

W = 2.3026 RT log10 (V2/V1)

According to first law of thermodynamics, heat used up for the expansion of gas = W/J

So, H = 2.3026 (RT/J) log10 (V2/V1)

Since P1V1 = P2V2, thus, V2/V1= P1/P2

Substituting forV2/V1, H = 2.3026 (RT/J) log10 (P1/P2)

On the other hand, if the gas is compressed, the work is done on the gas and is therefore negative. The work done for isothermal compression is given by,

W = -2.3026 RT log10 (V2/V1)

So, W =2.3026 RT log10 (V1/V2)

Therefore, H = 2.3026 (RT/J) log10 (V1/V2)

and H = 2.3026 (RT/J) log10 (P2/P1)

Good Luck

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The equation of state of a gas is PV=nRT(1-B/V),where R is the constant and B is a function of temperature alone.show that the workdone by one mole of this gas during a quasi static isothermal expansion from initial volume Vi to Vf.

lawal jubril olamilekan

2 Answers

Saurabh Koranglekar

Vikas TU

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