Consider a liquid mixture of n-hexane and n-heptane with composition Thez -0.3 and Thep -0.7. Use Newton's method to calculate the bubble point temperature of the mixture at a pressure of P=2.8 atm. Let your initial guess be based on the normal boiling points which are hexane 68.75 °C and heptane 98.43 °C. Thus let you initial guess be I guess Thez (68.75)+Thep (98.43) Give your initial guess and 3 iterations To, T1, T2, T3 What is the composition (mole fractions yhez, hep) of the vapor?
Consider a liquid mixture of n-hexane and n-heptane with composition Thez -0.3 and Thep -0.7. Use Newton's method to calculate the bubble point temperature of the mixture at a pressure of P=2.8 atm. Let your initial guess be based on the normal boiling points which are hexane 68.75 °C and heptane 98.43 °C. Thus let you initial guess be I guess Thez (68.75)+Thep (98.43) Give your initial guess and 3 iterations To, T1, T2, T3 What is the composition (mole fractions yhez, hep) of the vapor?
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:HW7.3. 221 PS7_2b bubble pt
Consider a liquid mixture of n-hexane and n-heptane with composition Thez -0.3 and Thep =0.7.
Use Newton's method to calculate the bubble point temperature of the mixture at a pressure of P =2.8 atm.
Let your initial guess be based on the normal boiling points which are hexane 68.75 °C and heptane 98.43 °C.
Thus let you initial guess be
Eguess Ther (68.75) + Thep (98.43)
Give your initial guess and 3 iterations To, T1, T2, T3
What is the composition (mole fractions Yhez, Yhep) of the vapor?
The Antoine coefficients for n-hexane and n-heptane with T in °C and pressure in mm Hg are:
A=6.88555; B=1175.817; C=224.867; n-hexane 13 to 69 °C
A=6.90253; B=1267.828; C=216.823; n-heptane 26 to 99 °C
For Newton's method, useful results for the Antoine equation and the T derivative
To=
T₁ =
Yhez =
Antoine Equation
Bubble Point
Newton method
Pi = 10..
T₂=
B
(4-T + C) = exp((4-T + c) In 10)
A-
Yhep
(api
ƏT
f(T) = x₁p₁ + x₂P-P;
P = x₁p₁ + x₂pi
= (B, In 10) (+)) Pi
f'(T) = x₁ ar
T3 =
Vəp;
ar
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