A group of engineers is tasked to estimate the heat of vaporization (kJ/mol) of benzene at 20 °C using three different methods.

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
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HW9.2.221 PS9_2
A group of engineers is tasked to estimate the heat of vaporization (kJ/mol) of benzene at 20 °C using three
different methods.
(1) Estimate the heat of vaporization AĤy₁ (kJ/mol) using the value at the normal boiling point and
Watson's correlation.
(2) Estimate the heat of vaporization AĤv₂ (kJ/mol) using the Clausius-Clapeyron equation and boiling
point data in K, Top1, Tip2 dtermined at two different pressures of p₁ -45 and p2 -140 mm Hg
(3) Calculate the heat of vaporization AĤy (kJ/mol) using a hypothetical process path with heat of
vaporization Hy at the normal boiling point and Cp data from table B2. Similar to Problem 9_1
Some useful physical data:
Antoine coefficients for benzene p* in mm Hg [a,b,c,temp range oC] = 6.89272 1203.531 219.888 (14 to 80
oC)
Cp data for bezene in kJ/mol °C
Cp data for liquid: [a,b,c,d] = 0.1265 2.340e-04 0.0 0.0
Cp data for vapor: [a,b,c,d] = 0.07406 3.295e-04 -2.52e-07 7.757e-11
Problem (1) Estimate the heat of vaporization AHV₁ (kJ/mol) using the its value at the normal boiling point
and Watson's correlation.
What is the heat of vaporization of benzene AĤv(Tip) (kJ/mol) at its normal boiling point?
AĤv(Tup) 0
Watson ΔΗν 0
Problem (2) Estimate the heat of vaporization AHV2 (kJ/mol) using the Clausius-Clapeyron equation and
boiling points Typ1 K, TK at pressures of p₁ -45 and p2 -140 mm Hg
X0%
Hint: recall for a single pure substance, and p* known, the Antoine eq gives a simple direct formula for Tip as a
function of p*. Also, for using C-C eq, the gas constant is R=8.314e-3 kJ/mol K$
Top1 282.823
Top2 306.66
100%
x 0%
x 0%
100%
Clausius-Calpeyron AĤv2 34.948
Problem (3) Calculate the heat of vaporization AĤv3 (kJ/mol) using a hypothetical process path with heat of
vaporization Hy at the normal boiling point and Cp data.
Process Path AĤV3 - 0
✓ 100%
Transcribed Image Text:HW9.2.221 PS9_2 A group of engineers is tasked to estimate the heat of vaporization (kJ/mol) of benzene at 20 °C using three different methods. (1) Estimate the heat of vaporization AĤy₁ (kJ/mol) using the value at the normal boiling point and Watson's correlation. (2) Estimate the heat of vaporization AĤv₂ (kJ/mol) using the Clausius-Clapeyron equation and boiling point data in K, Top1, Tip2 dtermined at two different pressures of p₁ -45 and p2 -140 mm Hg (3) Calculate the heat of vaporization AĤy (kJ/mol) using a hypothetical process path with heat of vaporization Hy at the normal boiling point and Cp data from table B2. Similar to Problem 9_1 Some useful physical data: Antoine coefficients for benzene p* in mm Hg [a,b,c,temp range oC] = 6.89272 1203.531 219.888 (14 to 80 oC) Cp data for bezene in kJ/mol °C Cp data for liquid: [a,b,c,d] = 0.1265 2.340e-04 0.0 0.0 Cp data for vapor: [a,b,c,d] = 0.07406 3.295e-04 -2.52e-07 7.757e-11 Problem (1) Estimate the heat of vaporization AHV₁ (kJ/mol) using the its value at the normal boiling point and Watson's correlation. What is the heat of vaporization of benzene AĤv(Tip) (kJ/mol) at its normal boiling point? AĤv(Tup) 0 Watson ΔΗν 0 Problem (2) Estimate the heat of vaporization AHV2 (kJ/mol) using the Clausius-Clapeyron equation and boiling points Typ1 K, TK at pressures of p₁ -45 and p2 -140 mm Hg X0% Hint: recall for a single pure substance, and p* known, the Antoine eq gives a simple direct formula for Tip as a function of p*. Also, for using C-C eq, the gas constant is R=8.314e-3 kJ/mol K$ Top1 282.823 Top2 306.66 100% x 0% x 0% 100% Clausius-Calpeyron AĤv2 34.948 Problem (3) Calculate the heat of vaporization AĤv3 (kJ/mol) using a hypothetical process path with heat of vaporization Hy at the normal boiling point and Cp data. Process Path AĤV3 - 0 ✓ 100%
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