Value of critical temperature van der waals equation
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LOG IN Support PF! Buy your school textbooks, materials and every day products via PF Here! Introductory Physics Homework Critical Pressure and Temperature of a van der Waals Gas Thread startere(ho0n3 Start dateAug 13, 2007 Aug 13, 2007 #1 E e(ho0n3 1. The problem statement, all variables and given/known data From the van der Waals equation of state, show that the critical temperature and pressure are given by T c r = 8 a 27 b R Tcr=8a27bR P c r = a 27 b 2 Pcr=a27b2 Hint: Use the fact that the P P versus V V curve has an inflection point at the critical point so that the first and second derivatives are zero. 2. Relevant equations P = R T V / n − b − a ( V / n ) 2 P=RTV/n−b−a(V/n)2 3. The attempt at a solution The first and second derivative have powers of V V greater than 2. Unfortunately I don't have the skills to solve for d p / d t = 0 dp/dt=0 or d 2 p / d t 2 = 0 d2p/dt2=0. Perhaps there's a simpler way?