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