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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




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