Register to reply

Derive the fundamental equation from and equation of state

by babbagee
Tags: derive, equation, fundamental, state
Share this thread:
babbagee
#1
Sep21-11, 11:44 PM
P: 74
Hello,

I just need help deriving the fundamental equation from Equation of state for wan der waals fluids.

P=[itex]\frac{RT}{v-b}[/itex]-[itex]\frac{a}{v^2}[/itex]

and

u=cRT-[itex]\frac{a}{v}[/itex]

where a,b, and c are constants.

I know the fundamental equation is

dS=[itex]\frac{1}{T}[/itex]dU+[itex]\frac{P}{T}[/itex]dv


I solved the u equation so it's in terms of u and v and just plugged in the P equation to [itex]\frac{P}{T}[/itex] but then I get an equation of two variables which I am not sure how to integrate. So I get an equation in the form of

dS=f(u,v)dU + f(u,v)dv

Can someone help me with the integration please.

Thanks in advance!
Phys.Org News Partner Physics news on Phys.org
Engineers develop new sensor to detect tiny individual nanoparticles
Tiny particles have big potential in debate over nuclear proliferation
Ray tracing and beyond

Register to reply

Related Discussions
Boltzmann distribution - Derive equation of state of a gas from Helmholtz free energy Advanced Physics Homework 0
Help me derive an equation General Math 4
How may I derive this equation? Calculus & Beyond Homework 8
How would i derive the equation? Introductory Physics Homework 3
I have to derive my own equation, I need help General Math 7