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