Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] TP For CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ whatistheorderin‒OCH3? 25% 25% 25% 25% 1. 2. 3. 4. 1 2 Neitheroftheabove Moreinfoneeded Monday, May 1, 2017 ‒OCH 3 Rate M/s 0.0001 0.0001 2.8x10‒5 0.0002 0.0001 5.6x10‒5 0.0001 0.0002 2.8x10‒5 CH3 3CBr Response Counter 5 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9:05 am) • Rate versus … fromexperiment • Makingsenseofrateversus … :Reactionmechanism • Makingsenseofrateconstants:theArrheniusrelation Finallecture:Rateversustemperature:Ea andA.Puttingitalltogether: Firstlaw,secondlaw,equilibrium,andkinetics. 1 Copyright © 2017 Dan Dill [email protected] Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] Differential rate laws: rate vs […] Rateversus … fromexperiment Inliquidmethanol,CH3OH,thefollowingreactionoccurs: CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ Weknowhowtodefinerate. Wealsoknowthatrate Writearatelawforthisreaction. concentration So,weneedtolearnjusthowratedependsonconcentrationandwhat determinestherateconstant, . We’llusedatatolearnhowratedependsonconcentration,theso‐called differentialratelaw. We’llseethateachreactionwillhaveitownparticulardependence 8 Copyright © 2017 Dan Dill [email protected] 9 1 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] (CH3)3CBr + ‒OCH3 (CH3)3COCH3 + Br‒ Differential rate laws: rate vs […] Inliquidmethanol,CH3OH,thefollowingreactionoccurs: ‒OCH 3 Rate M/s 0.0001 0.0001 2.8x10‒5 0.0002 0.0001 5.6x10‒5 0.0001 0.0002 2.8x10‒5 CH3 3CBr CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ Howcanweknowwhethertheratelawiscorrect? ratefor CH3 3CBr a,ratefor ‒OCH3 1. 2. 3. 4. b Whatistheorder, ,in CH3 3CBr? Whatistheorder, ,in‒OCH3? Whatisthefulldifferentialratelaw? Whatisthevalueofkfor? 10 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] TP For CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ whatistheorderin CH3 3CBr? 25% 25% 25% 25% 1. 2. 3. 4. 1 2 Neitheroftheabove Moreinfoneeded Response Counter Copyright © 2017 Dan Dill [email protected] Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] TP For CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ whatistheorderin‒OCH3? ‒OCH 3 Rate M/s 0.0001 0.0001 2.8x10‒5 0.0002 0.0001 5.6x10‒5 0.0001 0.0002 2.8x10‒5 CH3 3CBr 11 5 12 25% 25% 25% 25% 1. 2. 3. 4. 1 2 Neitheroftheabove Moreinfoneeded Response Counter CH3 3CBr ‒OCH 3 Rate M/s 0.0001 0.0001 2.8x10‒5 0.0002 0.0001 5.6x10‒5 0.0001 0.0002 2.8x10‒5 5 13 2 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] TP For CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ whatisthefulldifferentialratelaw? 25% 25% 25% 25% 1. 2. 3. 4. rate k CH3 3CBr ‒OCH3 rate k CH3 3CBr rate k ‒OCH3 Neitheroftheabove Response Counter Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Rate M/s 0.0001 2.8x10‒5 0.0002 0.0001 5.6x10‒5 0.0001 0.0002 2.8x10‒5 0.0001 Copyright © 2017 Dan Dill [email protected] TP For CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ whatisthevalueofk? ‒OCH 3 CH3 3CBr Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5 14 Copyright © 2017 Dan Dill [email protected] 25% 25% 25% 25% 1. 2. 3. 4. 2.8x10‒5Ms‒1 2.8x10‒1s‒1 2.8x10‒1Ms‒1 Noneoftheabove CH3 3CBr ‒OCH 3 Rate M/s 0.0001 0.0001 2.8x10‒5 0.0002 0.0001 5.6x10‒5 0.0001 0.0002 2.8x10‒5 Response Counter Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5 15 Copyright © 2017 Dan Dill [email protected] Making sense of rate versus […] Makingsenseofrateversus … :Reactionmechanism Fromdata,wehavefoundthatthedifferentialratelawfor CH3 3CBr ‒OCH3 CH3 3COCH3 Br‒ israte k CH3 3CBr Shouldn’ttheratedependon ‒OCH3 too? 16 Copyright © 2017 Dan Dill [email protected] 17 3 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] (CH3)3CBr + ‒OCH3 (CH3)3COCH3 + Br‒ Apossiblemechanismthataccountsforratenotdepending on 1 CH3 3CBr CH3 3C 2 CH3 3C ‒OCH 3 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] Making sense of rate constants is… Themechanism 1 CH3 3CBr CH3 3C Br‒ ,slow ‒OCH3 CH3 3COCH3 ,fast 2 CH3 3C Showthatthisaccountsfortheobservedratelaw. Br‒ ,slow ‒OCH3 CH3 3COCH3 ,fast presumesreaction1ismuchslowerthanreaction2. Let’sseeifwecanunderstandhowcouldthisbe. 19 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] 20 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] Making sense of rate constants Makingsenseofrateconstants:Arrheniusequation Themechanism 1 CH3 3CBr CH3 3C 2 CH3 3C ‒OCH 3 Br‒ ,slow CH3 3COCH3 ,fast Reaction1ismuchslowerthanreaction2because… k1,for ismuchsmallerthank2,for Whatdeterminestherelativesizeofrateconstants? 28 Copyright © 2017 Dan Dill [email protected] 29 4 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] Making sense of rate constants NO2(g) + CO(g) NO(g) + CO2(g) Tounderstandwhatdeterminestherelativesizeofrateconstants,let’sbegin byimagininghowenthalpychangesasanexothermicreaction,R P,suchas Becausereactionsinvolvebothbondbreakinginreactantsandbondmakingin products,energymustbesupplied forbothR PandP R. NO2 g CO g NO g CO2 g evolvesasreactants,R,aretransformedintoproducts,P. Sketchadiagramshowinghowenthalpychanges verticalaxis astimepasses horizontalaxis ,startingwithallreactants,R,andendingwithallproducts,P. 30 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] 31 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] NO2(g) + CO(g) NO(g) + CO2(g) NO2(g) + CO(g) NO(g) + CO2(g) WheredoestheenergycomefromforR P? Kineticenergyofreactantmolecules. Onlymoleculeswithkineticenergygreaterthantheactivationenergy,Ea,can react. 32 Copyright © 2017 Dan Dill [email protected] 33 5 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] NO2(g) + CO(g) NO(g) + CO2(g) NO2(g) + CO(g) NO(g) + CO2(g) OnlymoleculeswithkineticenergygreaterthanEa canreact RaisingtemperatureincreasesthenumberwithatleastkineticenergyEa Onlymoleculeswithkineticenergygreaterthantheactivationenergy,Ea,can react. exp Ea/ RT … Fraction ofmoleculeswithminimumkineticenergyEa forreaction always lessthan1 34 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Copyright © 2017 Dan Dill [email protected] 35 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 NO2(g) + CO(g) NO(g) + CO2(g) NO2(g) + CO(g) NO(g) + CO2(g) Whatroledoestherelativeorientationofthecollidingmolecules collisiongeometry play? Collisionsmusthavethecorrectgeometry:A 37 Copyright © 2017 Dan Dill [email protected] Copyright © 2017 Dan Dill [email protected] 38 6 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 Lecture 37 CH102 A1 (MWF 9 am) Spring 2017 5/2/2017 2:07 PM Copyright © 2017 Dan Dill [email protected] Putting geometry and temperature together k A exp Ea/ RT A … frequencyofcollisions … probabilitythatcollisionshaveanappropriatecollisiongeometry exp Ea/ RT … FractionofmoleculeswithminimumkineticenergyEa forreaction always lessthan1 39 Copyright © 2017 Dan Dill [email protected] 7
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