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