March 12th, 2017, 01:27 PM  #1 
Member Joined: Dec 2015 From: England Posts: 30 Thanks: 0  Rearrangement of van der waals
Please could some one help me with question 7b

March 12th, 2017, 03:05 PM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 891 Thanks: 269 
This is a simple substitution into the partial differential. Wherein lies the difficulty? 
March 12th, 2017, 03:19 PM  #3 
Senior Member Joined: Jun 2015 From: England Posts: 891 Thanks: 269 
$\displaystyle p = \frac{{nRT}}{{V  nb}}  a\frac{{{n^2}}}{{{V^2}}}$ $\displaystyle {\left( {\frac{{\partial p}}{{\partial T}}} \right)_V} = \frac{{nR}}{{V  nb}}  0$ $\displaystyle {\pi _T} = T{\left( {\frac{{\partial p}}{{\partial T}}} \right)_V}  p$ $\displaystyle {\pi _T} = T\left( {\frac{{nR}}{{V  nb}}} \right)  \left( {\frac{{nRT}}{{V  nb}}  a\frac{{{n^2}}}{{{V^2}}}} \right)$ $\displaystyle {\pi _T} = \frac{{TnR}}{{V  nb}}  \frac{{nRT}}{{V  nb}} + a\frac{{{n^2}}}{{{V^2}}} = a\frac{{{n^2}}}{{{V^2}}}$ as required 

Tags 
der, rearrangement, van, waals 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Rearrangement  Andrzejku98  Linear Algebra  3  March 12th, 2017 03:22 PM 
Log/double log rearrangement.  Alex138478  Algebra  7  August 24th, 2013 07:46 PM 
Rearrangement of 123456789  Albert.Teng  Number Theory  15  June 27th, 2012 02:21 AM 
Equation rearrangement  nlive  Linear Algebra  1  January 25th, 2009 05:39 PM 
Help with equation rearrangement  nlive  Calculus  1  January 24th, 2009 04:18 PM 