1800-150-456-789
FlagBACK
Flag Thermal Physics> The equation of state of a gas is PV=nRT(...
question mark

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 , 5 Years ago
Grade 11
anser 2 Answers
Saurabh Koranglekar

Last Activity: 5 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

Last Activity: 5 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 
 

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Other Related Questions on thermal physics

question mark
A container filled with a sample of an Idea gas at the pressure of 1.5atm. the gas is compressed isothermal ly to one fourth of its original volume. What is the new pressure of the gas?
 
thermal physics
0 Answer Available

Last Activity: 2 Years ago

question mark
how do we know the electric field due to an electric dipole of dipole moment P at distance r from the centre of dipole is fiven by .. where theta is angle between p amd r vector..
thermal physics
0 Answer Available

Last Activity: 3 Years ago

question mark
A A mole of helium gas initially at stp undergoes an isovolumetric process in which its pressure falls to half its initial value. The work done by gas is
 
thermal physics
0 Answer Available

Last Activity: 3 Years ago

question mark
  1. 5000 J of heat are added to two moles of an ideal monatomic gas, initially at a temperature of 500 K, while the gas performs 7500 J of work. What is the final temperature of the gas? step by step please
thermal physics
1 Answer Available

Last Activity: 3 Years ago

question mark
Please help me with the  answer of this question  related to radiation graph
thermal physics
0 Answer Available

Last Activity: 3 Years ago