Question

41 The following data was experimentally obtained for the reaction: 2 of 2 (CH3)3CBr + H2O → (CH3)3COH + HBr t(h) (CH3)2CBr (mol/L) 0 10.39 x 102 3.15 8.96 x 102 6.20 7.76 x 102 10 6.39 x 102 18.30 3.53 x 102 30.80 2.07 x 102 a) Make the appropriate graphs and from them determine the order of reaction in relation to (CH3),CBr. In other words, the rate law expression will be like: Rate = k [(CH3)3CBr]" By concluding from the graphs, you will be determining the value of n. b) Determine the rate constant of the reaction and its respective units. c) Determine the initial concentration of (CH3)3CBr ([(CH3)3CBr]o) according to the rate law you concluded, calculate the % Error, and discuss how it compares to the [(CH3)2CBrlo obtained experimentally, which is 10.39 x 102 mol/L. In this case the % Error can be calculated as: ([(CH3)3CBr]calculated - 10.39 x 10-2 % Error = 10.39 x 10-2 d) Determine the molar concentration of (CH3),CBr after 43.8 h. You are allowed and recommend to use graphing softwares (for instance Excel) to help you with the graphs and linear fitting. You should attach all graphs and tables to your homework in order to receive full credit.

Answer 1

where 'A' represent for (CH3)3CBr Ifor I8 oxr kinetics A B CA- GAO - dep CA- CA - da Rdt J CA kdt a -(a) Jm(a)] n(GA) An (Go) - kt Jn(Ce n(C) Lnear aph blwn (Ca) v3 Ame -Rd mX C Slo Pe n - R Inter cept nCa.

P haorde kinetics 2 A dcp CACA - dn GA CAO -2+ A Lineas ph blu kl4-o) kt -2+ ০৮ CA CAO CA y mA C Slope IntercePt -

time(h) In[(CH3)3CBr] 1/(Cнз)3СВI] (Сн3)3СBr, mol/L 0.1039 9.624639076 10 -2.264326381 3.15 0.0896 -2.412399959 11.16071429 6.2 0.0776 -2.556187852 12.88659794 10 0.0639 -2.750435918 15.64945227 18.3 0.0353 -3.343872315 28.3286119 48.30917874 30.8 0.0207 -3.877621579 y -0.0542x-2.2489 y 1.2917x +6.2568 In[(CH3)3CBr] v/s time(hr) R2 0.9922 1/I(CH3)3CBr] v/s time R2 0.9697 0 60 5 10 15 20 25 30 35 0.5 50 -1 -1.5 40 -2 30 -2.5 20 -3 -3.5 10 .. -4 0 -4.5 C 10 15 20 25 30 35 time(hr) Time (hr) In[(CH3)3СBr]

Ploti Bath for In excel Curre و بیا X amd kineticA and Order graph Se ordar thest R 2 Pitted in iven data CO39 22 خب و۱ ۱ء I8 orc Rade Reacion thast Mean kinelics Menc Rade ale Condtant a uation raph y = OO5 - 2.2489 In(Gn) - R n(CA) Henu -k = O OS4 OIO54 r Rade

And -2.2489 exp-2-24833 l0.55Xl mo CA intial Concoutioy L CAO-lo 39 Xio error 10.39 Xlo l0.39 X1 l0.55 X2 x loo, Io 39 Xlo S333 % o 39 eroY 1.5393

Time 43.8 hr Put in 43. hr neat E. to Pinddd affer 43.8 hr. Can centraion O.OS 2 24 89 w 2 24 89 -O.OS4X 43.8 2 248 - 2.365 2 2 248 4.613 2 exp-4-61323 u3.2 hr O099 2 Mol O.992x162 mol/L Ca r43.2h