How to Calculate Work in Isothermal Reversible Expansion Using Virial Equation?

AI Thread Summary
To calculate work during isothermal reversible expansion using the virial equation of state, the virial equation must be applied correctly, as the standard work formula for ideal gases is not directly applicable. The virial equation is expressed as pVm = RT(1 + B/Vm + C/Vm + ...), where Vm is the molar volume. The correct approach involves substituting Vm and applying calculus to derive the work done. It's essential to remember that the differential work is given by dw = -P dV. This method allows for accurate calculations of work in non-ideal gas scenarios.
winterwind
Messages
28
Reaction score
0

Homework Statement


Calculate the work done during the isothermal reversible expansion of a gas that satisfies the virial equation of state.

Homework Equations


Virial equation of state: pVm = RT(1+B/Vm + C/Vm + ...)

Isothermal reversible expansion: w = -nRT ln(Vf/Vi)

The Attempt at a Solution


I tried to substitute n with the expansion, but that is not correct. Any ideas?

Thanks!
 
Physics news on Phys.org
The expression you're using for isothermal reversible expansion is only valid for an ideal gas.

Remember dw=-P dV.

Divide both sides of the virial equation of state by Vm and remember Vm=V/n, then you'll need to use calculus.
 

Thread 'Prove that evolution is constant (Provide at least two arguments to support your position)'

I don't get how to argue it. i can prove: evolution is the ability to adapt, whether it's progression or regression from some point of view, so if evolution is not constant then animal generations couldn`t stay alive for a big amount of time because when climate is changing this generations die. but they dont. so evolution is constant. but its not an argument, right? how to fing arguments when i only prove it.. analytically, i guess it called that (this is indirectly related to biology, im...
View full post »

Similar threads

Chemistry How to explain the difference between recompression of ideal gas reversibly and irreversibly after initial irreversible expansion?
Replies
5
Views
2K
Chemistry How does it work to mix two gases reversibly in this device?
Replies
1
Views
2K
Is the Gas Expansion Reversible or Irreversible?
Replies
2
Views
2K
Need help in thermodynamics: Calculations for a thermal cycle
Replies
15
Views
4K
Reversible Isothermal Expansion Steam
Replies
2
Views
3K
Thermodynamics: Compression of an Adiabatic Gas
Replies
2
Views
2K
Equation of states for a gas that forms dimers
Replies
5
Views
3K
Virial Expansion of Van Der Waals Equation
Replies
1
Views
3K
Calculating Entropy Change in an expansion
Replies
3
Views
2K
An ideal gas closed system reversible process
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top