Oneeq2b

 Name: Oneeq2b - Bubble Point of a Nonideal Mixture -ethanol, n-heptane -Van Laar equation Source: Cutlip, M. B. and Shacham, M, Problem Solving in Chemical Engineering with Numerical Methods (2nd Ed), Prentice Hall Inc., Reference/s Model: 1 implicit equation, indep. variable name: T 14 explicit equations Lower difficulty level Constraints:T>-222 Initial range: Tmin=0.0, Tmax=100 Solved by Shacham, M., POLYMATH 5.1, build 19, April 1, 2001 Model Eqs. Bubble Point of a Nonideal Mixture -ethanol, n-heptane EXCEL FILE f(T) = 1-k1*x1-k2*x2 # TEXT FILE x1 = 0.6763397 # POLYMATH FILE x2 = 1-x1 # A = 0.75807689 # B = 1.1249035 # P2=10^(6.9024-1268.115/(216.9+T)) # P1=10^(8.04494-1554.3/(222.65+T)) # gamma2 = 10^(B*x1^2/(x1+B*x2/A)^2) # gamma1 = 10^(A*x2^2/(A*x1/B+x2)^2) # k1 = gamma1*P1/760 # k2 = gamma2*P2/760 # y1 = k1*x1 # y2 = k2*x2 # T(min)=0, T(max)=100 Variable/function values Variable Value f(x) T 65 0.211561671 x1 0.6763397 x2 0.3236603 A 0.75807689 B 1.1249035 P2 253.4796509 P1 438.0244141 gamma2 2.424658542 gamma1 1.351178164 k1 0.778748715 k2 0.808686317 y1 0.526698673 y2 0.261739656 Root Variable Value f(x) T 70.9000000710300 -2.35E-12 x1 0.6763397000000 x2 0.3236603000000 A 0.7580768900000 B 1.1249035000000 P2 313.4462157638000 P1 562.4720698134000 gamma2 2.4246585422480 gamma1 1.3511781641310 k1 0.9999999719285 k2 1.0000000586670 y1 0.6763396810141 y2 0.3236603189882 Function plot