4) (Note that this is an exam problem from a previous year. Also note that Figure 8.1-1 will be needed to solve this problem) Given the following expression for the heat of mixing of sulfuric acid (species 1) and water (species 2) AmixH (k/mol) = x₁x₂(-82.795 +56.683x₁), determine the partial molar enthalpies (in kJ mol-¹) of sulfuric acid and water for a 50 mol % sulfuric acid solution at 65 °C.
4) (Note that this is an exam problem from a previous year. Also note that Figure 8.1-1 will be needed to solve this problem) Given the following expression for the heat of mixing of sulfuric acid (species 1) and water (species 2) AmixH (k/mol) = x₁x₂(-82.795 +56.683x₁), determine the partial molar enthalpies (in kJ mol-¹) of sulfuric acid and water for a 50 mol % sulfuric acid solution at 65 °C.
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:(4)
H₁ = 2.50 kJ/mo
H₂ = -15.6 kJ/mol
H2
Transcribed Image Text:4) (Note that this is an exam problem from a previous year. Also note that
Figure 8.1-1 will be needed to solve this problem) Given the following
expression for the heat of mixing of sulfuric acid (species 1) and water (species 2)
Amix H (k/mol) = x₁x₂(-82.795 +56.683x₁)
determine the partial molar enthalpies (in kJ mol-¹) of sulfuric acid and water for a
50 mol % sulfuric acid solution at 65 °C.
Enthalpy, (kJ/kg) of mixture including vapor
450
400
350
300
250
200
150
100
50
0
-50
-100
-150
-200
-250
-300
-350
0
100°C
104.4°C
110°C
Boiling point at 0.1 MPa
20
115.6°C
121.1°C
148.9°C
176.7°C
204.4°C
Liquid +
Vapor
0°℃
37.8°C
21.1°C
65.6°C
93.3°C
Liquid
232.2°C
260°C
40
60
Wt. percentage H₂SO4
121.1°C
Boiling point at 0.1 MPa -
148.9°C
80
176.7°C
100
287.8°C
260°C
232.2°C
"
Expert Solution
Step 1: Calculate the enthalpy of mixing of the solution using the given expression:
To determine the partial molar enthalpies of sulfuric acid and water for a 50 mol% sulfuric acid solution at 65 °C, we can use the following steps:
Amix (kJ/mol) = x1x2(-82.795 +56.683x1)
where x1 and x2 are the mole fractions of sulfuric acid and water, respectively.
For a 50 mol% sulfuric acid solution, x1 = 0.5 and x2 = 0.5. Substituting these values into the equation, we get:
Amix (kJ/mol) = 0.5 * 0.5 * (-82.795 + 56.683 * 0.5) = -20.66 kJ/mol
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