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van't Hoff equation uses a few assumptions to predict the change of equilibrium constant over a small change of temperature. Derive van't Hoff equation from the two given equations: A¡G© = ArH© - TA;SE %3D ArG® =-RT In K Assuming the standard enthalpy and standard entropy do not change over the small region of temperature change (not true but very close). At temperature T, InK=-A-G©/RT=-A+H© ) + Ars© At temperature T', InK'=-ArG©/RT'=-ArH© ) + ArsƏ« Minus the second equation by the first equation Ink'-Ink= -ArH☺/R * (1/( )-1/( ))

van't Hoff equation uses a few assumptions to predict the change of equilibrium constant over a small change of temperature. Derive van't Hoff equation from the two given equations: A¡G© = ArH© - TA;SE %3D ArG® =-RT In K Assuming the standard enthalpy and standard entropy do not change over the small region of temperature change (not true but very close). At temperature T, InK=-A-G©/RT=-A+H© ) + Ars© At temperature T', InK'=-ArG©/RT'=-ArH© ) + ArsƏ« Minus the second equation by the first equation Ink'-Ink= -ArH☺/R * (1/( )-1/( ))

Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter18: Principles Of Chemical Reactivity: Entropy And Free Energy
Section: Chapter Questions
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van't Hoff equation uses a few assumptions to predict the change of equilibrium constant over a small change of temperature. Derive van't Hoff equation from the two given equations: A¡G© = ArH© - TA;SE %3D ArG® =-RT In K Assuming the standard enthalpy and standard entropy do not change over the small region of temperature change (not true but very close). At temperature T, InK=-A-G©/RT=-A+H© ) + Ars© At temperature T', InK'=-ArG©/RT'=-ArH© ) + ArsƏ« Minus the second equation by the first equation Ink'-Ink= -ArH☺/R * (1/( )-1/( ))
Transcribed Image Text:van't Hoff equation uses a few assumptions to predict the change of equilibrium constant over a small change of temperature. Derive van't Hoff equation from the two given equations: A¡G© = ArH© - TA;SE %3D ArG® =-RT In K Assuming the standard enthalpy and standard entropy do not change over the small region of temperature change (not true but very close). At temperature T, InK=-A-G©/RT=-A+H© ) + Ars© At temperature T', InK'=-ArG©/RT'=-ArH© ) + ArsƏ« Minus the second equation by the first equation Ink'-Ink= -ArH☺/R * (1/( )-1/( ))
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