Problem Set Solutions 3 - Chem 208 Spring 2008 Problem Set...

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Unformatted text preview: Chem 208, Spring 2008 Problem Set 3 Due Friday, Feb. 15 at 2:00 PM Supplementary Problems: Ch 14: 5, 7, 9, 11, 15, 17, 23, 25, 27, 33 1. Phosgene (C1200) is a highly toxic gas produced by the following reaction: C12 (g) + C0 (0) —> C12C0(g) The method of initial rates was used to determine the order of the reaction. Rate = k[C12]“[CO]"'[C12CO]p Expt. |C12 M CO M C1 C0 M Rate W5 1 0.0205 0.0620 0.0152 3.06 x 10' 2 0.0310 0.2040 0.0215 1.88 x 10" 3 0.0515 0.0620 0.0152 1.22 x 10" 4 0.0205 0.2040 0.0152 . 1-.le 10" a) Determine the order of the reaction with reSpect to C12, CO, and C12CO, i. e., find5 n m, and p. 24 : 0.2600m : l o 1 _____x______ 16 003: J) _;___02)5):-I»33x10.9 R I 0.0020 306203 W?» o 0205 a 0152 halt/b" 25 K )P. m / J’é 3 2‘1 :330 $0 5/ A q / ::{ /%flwfli/ “ %(O. .0515 n: mi (29/ P: 2. 51'“ = 51?? n|052|51=l0 3‘19 n: 41333-= )5 in 2-5! I {1: LS off-2.! b) Determine the rate constant, k. USE My eKPt’timen‘l‘ai 3 Obit/0'2 3”” = k[0.0205H] aft? ogzoijO k : 3 Oéx/O £ =/é$ M“;— [a 430522722}. 04% Mg Chem 208, Spring 2008 Problem Set 3 Due Friday, Feb. 15 at 2:00 PM 2. When heated, tetrafluoroethylene dimerizes to form oetafiuorocyclobutane: _ (321:4 (g) +£94Fs (g) At 488K, the following data was collected. x inEC1F1][C2F4](M) [Cam Time (s) .- 2303 0.100 /0-0 0 —2-f2«‘ 0.030 /2-§ 56 .233 0.060 A; 7 150 - 3243 0.040 2: 5. o 335 _3‘§0.7 0.030 333 520 [c Analyze the results by plotting the data as appropriate for zero-, first-, and second- order behavior. U 100 200 300 400 500 600 Time(s) a) What is the rate law expression and rate constant k for this reaction? MM .15 405710.140... :nv‘iem [Ca 3] 1 K9”: ~d[C;F%] k/QE/jl 1:. = (35.0'700 ’1 fil% f .- _. 51°F“ 1‘ WHOM" = 9.5246 L/Ns / W Chem 208, Spring 2008 Problem Set 3 Due Friday, Feb. 15 at 2:00 PM 3. The decomposition of dinitrogen pentoxide (N205 ) is a first order process: b) d) le205] dt = kobs [N205] N205 (g) —) 2 N02 (g) + 1/2 02(g) " At room temperature (298.1510, the rate constant for this process is km = 3.5 x 10'5 s'l. A sample of 1.00 g of gaseous N205 is put into an evacuated 15.0 L flask at 298.15K. The molar mass of N205 is 108.0 g/mole What is the initial partial pressure, in mm Hg, of N205(g)? msIeS MLOS: fl = 0.00 fifma/Qf /OE Ofi/mrf ”,6 7—— _ .9 a a 93 912;) a 0520!. L ‘6" 29‘Hfic) P5 7 _. _'___( ’" . __£L./ [ s 0 oxfav‘m . _ 4“- 0 ’— = as” at What is the partial pressure. in mm Hg, of N205(g) after 3.0 hours? i ' t :- Bé 00 4:— ‘ iolldV/J : /0 (PUOJ‘. Ax- /,.l £4.34.- sak-fi :) [A]! LWH [A401, 9 [flier/9’ §)// @— : [Mm/ah What is the total gas pressure, in mm Hg, m the container after 3.0 hours? é + .41 ”205(9) ZMOZ 3.0; JnthhH-"g H5 Fiasco {”1” 18 _,.___—————-—-—-—-“ ,.3j +7‘f +/RS'§—a P p What is the half life (tug) of the reaction in hours? his]; in [Ft]; ki— L hark hing/gn— Effie: Lfl/n fin FEES—e‘Lt/L n..- I [a] 55,7 lfl gash L in 3 ' £1:‘Iz. EL 7” 3 §x/D-Sr-' (13‘0”; How much timers necessary for 90% of the N205 tobeconsumed" ' ' = $5510va = Eofilo .L 7.:— M ab m false In m H.093 ‘1“ Ba": Vigil. " m-k£iofl. ,k z In 19: 12-19» efjfifj 1 70 07.. 1.; 3.5'xto'53‘" / it” _:_q_:='“k‘£fio¢)a -: jigging/rs Chem 208, Spring 2008 Problem Set 3 Due Friday, Feb. 15 at 2:00 PM 4. Ozone (03) reacts with hydrogen atoms in the atmosphere: HG) + 03(3) —> OH (g) + 02(g) d 0 Assume that the rate law expression is Rate = ‘% = kiH]p[03 ]q In order to study the kinetics of this reaction in the laboratory, it is convenient to run the reaction under conditions in which the concentration of 03 is effectively constant, 1'. e., under conditions in which [03] >> [H]. Under these conditions, [03] = constant, and k[03]‘l = keg. a) Write down the rate law expression in terms of keno. {ea/(E 3-“ ‘— Cfl.’ 1: k [IL/J 9—03,] ? d‘f _ f. — keg: I H] b) The reaction is studied under conditions with ozone in great excess, with [03] = 4 x 10'3cm'3. A short light pulse (r = 5.0ns = 5.0 x 1093) from a laser is used to dissociate HI (g) to form H atoms: HI (g) + hv —> H(g) + Hg) The following concentrations of H atoms were measured after the light pulse (lms = 1033): Timelms! lHIglOllcm'31 0 1.50 0.5 0.86 1.0 0.49 1.5 0.28 2.0 0.16 Determine the order of the reaction p with respect to H atoms. AS in Problem 2! we. Mdv‘v "glow. ‘HxL linear" Pio‘i' H‘ +11“); Oflfiaj' APAJ'U-F MIT/(7w?!— rs linear. c) What is the effective rate constant km? " Z—_:_i7__ _ _ Slop; (:Si)xm“3; “ " l- ”/035- [5 “£24770, )(epp = /- h/DBrfi d) Assume that the reaction is first order with reSpect to [03]. Calculate the rate constant k. Be sure to include the correct units for k. _ ée . /03_l .. —r/ 3 1‘ if? £2327? M ”A ‘3 (fl Z,7x/O"c.-.3/5- it OK! 6/44”?“ we are. froéqL/j ml) Jwfifimfm jib/IA} 95"» Din-1621117: fi7llr‘c! f-‘AQE [033 ..-. [Kg/6 ”can ...
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