Chemical potential for van de Waarls gas

AI Thread Summary
The discussion centers on the calculation of chemical potential for a Van der Waals gas using two different equations. The first equation involves the derivative of Helmholtz free energy with respect to particle number, while the second uses a logarithmic expression related to the partition function. Participants are asked to provide calculations to clarify why the results from these two methods differ. The discrepancy in outcomes highlights the complexities involved in thermodynamic calculations for non-ideal gases. Understanding these differences is crucial for accurate modeling of chemical potentials in real systems.
Dassinia
Messages
141
Reaction score
0
Hello,
In my book, we have two equations to find the chemical potential
µj=(dF/dNj) T, V and N constants

and

µj=-kT ln (ζj/Nj)

We calculated the potential of a Van der Waals gas using each of these equations, but the result is not the same, i want to understand why ?
 
Physics news on Phys.org
Please show your calculations.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Verifying properties of Van der Waals Gas
Replies
2
Views
1K
Is Entropy decreased for Free expansion of a Waals gas?
Replies
6
Views
3K
Van der Graaf Generator: Charge, Potential and Redesign Questions
Replies
8
Views
2K
Chemical Potential Homework: Ideal Monatomic Gas
Replies
6
Views
2K
Calculating particle numbers in diffusive equilibrium of a battery
Replies
6
Views
1K
Understanding the Differences Between Bose and Classical Gases
Replies
2
Views
1K
Entropy change of van der Waals gas expansion
Replies
10
Views
21K
Thermodynamic Identity: Chemical Potential
Replies
3
Views
2K
Partial Pressures and Vapour Pressure
Replies
5
Views
2K
Help with chemical potential formula in a mixture
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top