Re: how do I solve for this
- To: mathgroup at smc.vnet.net
- Subject: [mg117642] Re: how do I solve for this
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Tue, 29 Mar 2011 06:52:13 -0500 (EST)
eqn = p == n*kb*T/(V[T] - n*b) - a*n^2/V[T]^2;
V'[T] /. Solve[D[eqn, T], V'[T]][[1]] // FullSimplify
(kb*V[T]^3*((-b)*n + V[T]))/(-2*a*b^2*n^3 + 4*a*b*n^2*V[T] -
2*a*n*V[T]^2 +
kb*T*V[T]^3)
Bob Hanlon
---- thinktank1985 <dibya at umich.edu> wrote:
=============
Say I have
p=N*kb*T/(V-N*b)-a*N^2/V^2
I want to evaluate the derivative of V with respect to T, keeping p,N,kb,b,a constant.
I understand that this can be done by hand. I just want to know whether this can be done by using mathematica. I couldnt understand how to use Solve to do this. maybe there is something else I am not aware of