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The partial molar enthalpy of water in concentrated sulfuric acid solutions containing less than 20 moles H,0 per mol H,SO4, at 293 K and 1 bar, is given by 134x =-- (1+0.7983x4}? H„ (kJ mol"): where subscripts w and A stand for water and acid, respectively, x, is the mole fraction of acid, and the reference state for expressing H, is pure liquid water at the temperature and pressure of the mixture. For a certain application, 2 mol H,0 and 1 mol H,SO, are mixed isothermally in an open vessel, which is equipped with cooling coils. The flow of the cooling medium is controlled so that the entire mixing process occurs isothermally at 293 К. (a) Calculate the infinite dilution partial molar enthalpy of H,0 in H2SO, at 293 K. (b) Calculate how much heat must be removed during the mixing process.

The partial molar enthalpy of water in concentrated sulfuric acid solutions containing less than 20 moles H,0 per mol H,SO4, at 293 K and 1 bar, is given by 134x =-- (1+0.7983x4}? H„ (kJ mol"): where subscripts w and A stand for water and acid, respectively, x, is the mole fraction of acid, and the reference state for expressing H, is pure liquid water at the temperature and pressure of the mixture. For a certain application, 2 mol H,0 and 1 mol H,SO, are mixed isothermally in an open vessel, which is equipped with cooling coils. The flow of the cooling medium is controlled so that the entire mixing process occurs isothermally at 293 К. (a) Calculate the infinite dilution partial molar enthalpy of H,0 in H2SO, at 293 K. (b) Calculate how much heat must be removed during the mixing process.

Introduction to Chemical Engineering Thermodynamics
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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The partial molar enthalpy of water in concentrated sulfuric acid solutions containing less 8. than 20 moles H,0 per mol H,SO,, at 293 K and 1 bar, is given by H„(k 134x (1+0.7983xA}? mol") = - where subscripts w and A stand for water and acid, respectively, x, is the mole fraction of acid, and the reference state for expressing H, is pure liquid water at the temperature and pressure of the mixture. For a certain application, 2 mol H,0 and 1 mol H,SO, are mixed isothermally in an open vessel, which is equipped with cooling coils. The flow of the cooling medium is controlled so that the entire mixing process occurs isothermally at 293 К. (a) Calculate the infinite dilution partial molar enthalpy of H,0 in H,SO, at 293 K. (b) Calculate how much heat must be removed during the mixing process.
Transcribed Image Text:The partial molar enthalpy of water in concentrated sulfuric acid solutions containing less 8. than 20 moles H,0 per mol H,SO,, at 293 K and 1 bar, is given by H„(k 134x (1+0.7983xA}? mol") = - where subscripts w and A stand for water and acid, respectively, x, is the mole fraction of acid, and the reference state for expressing H, is pure liquid water at the temperature and pressure of the mixture. For a certain application, 2 mol H,0 and 1 mol H,SO, are mixed isothermally in an open vessel, which is equipped with cooling coils. The flow of the cooling medium is controlled so that the entire mixing process occurs isothermally at 293 К. (a) Calculate the infinite dilution partial molar enthalpy of H,0 in H,SO, at 293 K. (b) Calculate how much heat must be removed during the mixing process.
Expert Solution
Step 1

Given, partial molar enthalpy of water is

Hw = -134xA21+0.7983xA2     ......1

 

Here, Hw is partial molar enthalpy of water and xA is the mole fraction of acid.

 

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