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H.W) When 178 J of energy is supplied as heat to 1.9 mol of gas molecules at constant pressure, the temperature of the sample increases by 1.78 K. Calculate the molar heat capacities at constant volume and constant pressure of the gas.

H.W) When 178 J of energy is supplied as heat to 1.9 mol of gas molecules at constant pressure, the temperature of the sample increases by 1.78 K. Calculate the molar heat capacities at constant volume and constant pressure of the gas.

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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K/S l ll E A e 7:10 41 تحریر 4 Lec7 heat capacities Haider R. Saud H.W) When 178 J of energy is supplied as heat to 1.9 mol of gas molecules at constant pressure, the temperature of the sample increases by 1.78 K. Calculate the molar heat capacities at constant volume and constant pressure of the gas. O) When 2mol CO, is heated at a constant pressure of 1.25 atm, its Temperature increases from 250 K to 277 K. Given that the molar heat capacity of CO; ) at constant pressure is 37.11 J K'mol', calculate q, AH, and AU. AH =9, =nCpmAT %3D P. P.m AH = (2mol)(37.11J.K.mol)(277 - 250K ) AH = 2004J AU = AH -nRAT %3D AU = 2004 - ((2mol )(8.314J.K'mol)(277-250K )) AU = 2004 -449J =1555J %3D Q) When 3.0 mol Oz is heated at a constant pressure of 3.25 atm, its temperature increases from 260 K to 285 K. Given that the molar heat capacity of Oz (g) at constant pressure is 29.4 J K mol' calculate q, AH, and AU. The relationship between Cp and Cy In the isochoric case no work is done, so the heat fully converts into the internal energy U and the temperature increases. In the isobaric case, the system usually expands upon heating and a negative work is done on it. This leads to a smaller increase of U and thus smaller increase of the temperature. Consequently, for most materials C, > Cy should be satisfied. University of Al Muthana, college of science, chemistry department Lec7 heat capacities Haider R. Saud ............ C,-Cy = %3D H =U +PV aU + PV) C, -C, = Cp-Cy %3D a(PV ) C, -C, = ( %3D DO DO أدوات W PDF إلى DOC التعديل على PC مشاركة عرض المحمول
Transcribed Image Text:K/S l ll E A e 7:10 41 تحریر 4 Lec7 heat capacities Haider R. Saud H.W) When 178 J of energy is supplied as heat to 1.9 mol of gas molecules at constant pressure, the temperature of the sample increases by 1.78 K. Calculate the molar heat capacities at constant volume and constant pressure of the gas. O) When 2mol CO, is heated at a constant pressure of 1.25 atm, its Temperature increases from 250 K to 277 K. Given that the molar heat capacity of CO; ) at constant pressure is 37.11 J K'mol', calculate q, AH, and AU. AH =9, =nCpmAT %3D P. P.m AH = (2mol)(37.11J.K.mol)(277 - 250K ) AH = 2004J AU = AH -nRAT %3D AU = 2004 - ((2mol )(8.314J.K'mol)(277-250K )) AU = 2004 -449J =1555J %3D Q) When 3.0 mol Oz is heated at a constant pressure of 3.25 atm, its temperature increases from 260 K to 285 K. Given that the molar heat capacity of Oz (g) at constant pressure is 29.4 J K mol' calculate q, AH, and AU. The relationship between Cp and Cy In the isochoric case no work is done, so the heat fully converts into the internal energy U and the temperature increases. In the isobaric case, the system usually expands upon heating and a negative work is done on it. This leads to a smaller increase of U and thus smaller increase of the temperature. Consequently, for most materials C, > Cy should be satisfied. University of Al Muthana, college of science, chemistry department Lec7 heat capacities Haider R. Saud ............ C,-Cy = %3D H =U +PV aU + PV) C, -C, = Cp-Cy %3D a(PV ) C, -C, = ( %3D DO DO أدوات W PDF إلى DOC التعديل على PC مشاركة عرض المحمول
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