Oneeq2a

 Name: Oneeq2a - Bubble Point of a Nonideal Mixture -ethanol, n-hexane -Wilson 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, Nov. 17, 2000 Model Eqs. Bubble Point of a Nonideal Mixture -ethanol, n-hexane -Wilson equation EXCEL FILE f(T) = 1-k1*x1-k2*x2 # TEXT FILE x1 = 0.332112 # POLYMATH FILE x2 = 1-x1 # G12 = 0.07858889 # G21 = 0.30175355 # P2 = 10^(6.87776-1171.53/(224.366+T)) # P1 = 10^(8.04494-1554.3/(222.65+T)) # t1 = x1+x2*G12 # t2 = x2+x1*G21 # gamma2 = exp(-ln(t2)-(x1*(G12*t2-G21*t1))/(t1*t2)) # gamma1 = exp(-ln(t1)+(x2*(G12*t2-G21*t1))/(t1*t2)) # 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 -0.26069644 x1 0.332112 x2 0.667888 G12 0.07858889 G21 0.30175355 P2 674.761478 P1 438.0244141 t1 0.384600577 t2 0.768103975 gamma2 1.386023187 gamma1 2.292498579 k1 1.321276772 k2 1.23057244 y1 0.438811871 y2 0.821884566 Root Variable Value f(x) T 58.7000023925600 -1.28E-14 x1 0.3321120000000 x2 0.6678880000000 G12 0.0785888900000 G21 0.3017535500000 P2 548.3315931341000 P1 331.5158451523000 t1 0.3846005765643 t2 0.7681039749976 gamma2 1.3860231870570 gamma1 2.2924985789280 k1 0.9999994788205 k2 1.0000003977370 y1 0.3321118269100 y2 0.6678882656435 Function plot