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March 12th, 2017, 12:27 PM   #1
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Rearrangement of van der waals

Please could some one help me with question 7b
Attached Images 17321530_1097217497054802_1807423693_n.jpg (46.9 KB, 6 views) March 12th, 2017, 02:05 PM #2 Senior Member   Joined: Jun 2015 From: England Posts: 915 Thanks: 271 This is a simple substitution into the partial differential. Wherein lies the difficulty? Thanks from topsquark March 12th, 2017, 02:19 PM #3 Senior Member   Joined: Jun 2015 From: England Posts: 915 Thanks: 271 $\displaystyle p = \frac{{nRT}}{{V - nb}} - a\frac{{{n^2}}}{{{V^2}}}$ $\displaystyle {\left( {\frac{{\partial p}}{{\partial T}}} \right)_V} = \frac{{nR}}{{V - nb}} - 0$ $\displaystyle {\pi _T} = T{\left( {\frac{{\partial p}}{{\partial T}}} \right)_V} - p$ $\displaystyle {\pi _T} = T\left( {\frac{{nR}}{{V - nb}}} \right) - \left( {\frac{{nRT}}{{V - nb}} - a\frac{{{n^2}}}{{{V^2}}}} \right)$ $\displaystyle {\pi _T} = \frac{{TnR}}{{V - nb}} - \frac{{nRT}}{{V - nb}} + a\frac{{{n^2}}}{{{V^2}}} = a\frac{{{n^2}}}{{{V^2}}}$ as required Thanks from topsquark and Andrzejku98 Tags der, rearrangement, van, waals Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Andrzejku98 Linear Algebra 3 March 12th, 2017 02:22 PM Alex138478 Algebra 7 August 24th, 2013 06:46 PM Albert.Teng Number Theory 15 June 27th, 2012 01:21 AM nlive Linear Algebra 1 January 25th, 2009 04:39 PM nlive Calculus 1 January 24th, 2009 03:18 PM

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