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