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/ ))

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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,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/
))
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,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/ ))
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