Elementary Principles 151 - 5.57 a. van der Waals equation:...

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5- 39 5.57 a. van der Waals equation: P = RT V-b a V 2 2 ± ± di Multiply both sides by V V - b PV PV b = RTV aV + ab PV + -Pb - RT V aV - = 0 cP = 5 0 . 0 a t m c- P b - R T a t m L / m o l K L a t m / m o l ca = a t m L m o l c ab = - atm L mol L / mol atm L mol 23 2 2 32 3 2 Latm mol K 1 22 0 3 3 ±± ± ± ± ± ± ab .. . . ./ . . bg b g b g ch ⇒− + = == = =− 50 0 00366 0 08206 223 201 133 00487 b. ± . . V RT P La tm mol K K 50.0 atm L/mol ideal = 008206 223 0 366 c. T(K) P(atm) c3 c2 c1 c0 V(ideal) V f(V) % error (L/mol) 223 1.0 -18.336 1.33 -0.0487 18.2994 18.2633 0.0000 0.2 10.0 10.0 -18.6654 1.8299 1.7939 2.0 50.0 50.0 -20.1294 0.3660 0.3313 0.0008 10.5 100.0 100.0 -21.9594 0.1830 0.1532 -0.0007 19.4 200.0 200.0 -25.6194 0.0915 0.0835 0.0002 9.6 d. 1 eq. in 1 unknown - use Newton-Raphson. 10 1 3 3 b g ⇒=
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This note was uploaded on 02/27/2012 for the course CHEMICAL E 312 taught by Professor Cheung during the Fall '11 term at The University of Akron.

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