1. The partial molar enthalpies of species in simple binary mixtures can sometimes be approximated by the following expressions H₁ = a₁ + b₁x² (a) For these expressions, show that b₁ must be equal to b₂. (b) Making use of the fact that and lim 0₁ = 0₁ X₁ →1 H₂=a₂ + b₂x²

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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(
(a) use Gibbs-Duhem
JH₁
ах, і тір
(b)
lim
X;→→1
X₁
0₁ = 0;
+ X₂
JH ₂
ах, тур
=O
11
:: a₁ = H₁ & 9₂ = H₂
-
2
H₁ = H₂ + bx₂² & H₂ = H₂+bx₁²
Transcribed Image Text:( (a) use Gibbs-Duhem JH₁ ах, і тір (b) lim X;→→1 X₁ 0₁ = 0; + X₂ JH ₂ ах, тур =O 11 :: a₁ = H₁ & 9₂ = H₂ - 2 H₁ = H₂ + bx₂² & H₂ = H₂+bx₁²
1. The partial molar enthalpies of species in simple binary mixtures can sometimes
be approximated by the following expressions
H₁ = a₁ + b₁x²
(a) For these expressions, show that b₁ must be equal to b₂.
(b) Making use of the fact that
and
lim 0₁ = 0₁
Xi→1
For any thermodynamic property 0, show that
a₁ = H₁,
a₂ = H₂,
and
H₂ = a₂ + b₂x².
AmixH = b₁x₁x2.
Transcribed Image Text:1. The partial molar enthalpies of species in simple binary mixtures can sometimes be approximated by the following expressions H₁ = a₁ + b₁x² (a) For these expressions, show that b₁ must be equal to b₂. (b) Making use of the fact that and lim 0₁ = 0₁ Xi→1 For any thermodynamic property 0, show that a₁ = H₁, a₂ = H₂, and H₂ = a₂ + b₂x². AmixH = b₁x₁x2.
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