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,s® A-G® =-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 RT' ) + A,s© R At temperature T', Ink=-A-G©/RT'=-A;H© ) + A,s© 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,s® A-G® =-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 RT' ) + A,s© R At temperature T', Ink=-A-G©/RT'=-A;H© ) + A,s© Minus the second equation by the first equation InK'-Ink= -ArH©/R * (1/( )-1/ ))

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter16: Thermodynamics: Directionality Of Chemical Reactions

Section: Chapter Questions

Problem 105QRT

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