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The following data show the rate constant of a reaction measured at several different temperatures. Temperature...

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Chemistry

The following data show the rate constant of a reaction measuredat several different temperatures. Temperature (K) at 310 has arate constant (1/s) of 4.65×10^−2 . Temperature (K) at 320 has arate constant (1/s) of 0.139. Temperature (K) at 330 has a rateconstant (1/s) of 0.386. Temperature (K) at 340 has a rate constant(1/s) of 1.01. Temperature (K) at 350 has a rate constant (1/s) of2.52. Part A) Use an Arrhenius plot to determine the activationbarrier for the reaction. Part B) Use an Arrhenius plot todetermine the frequency factor for the reaction.

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4.2 Ratings (791 Votes)

k1 = 4.65*10-2 sec-1

T1 = 310K

K2 = 0.139sec-1

T2 = 320K

logK2/K1   = Ea/2.303R [1/T1 -1/T2]

log0.139/4.65*10-2 = Ea/2.303*8.314 [1/310 -1/320]

0.4755                    = Ea/19.147 (0.00322-0.003125)

0.4755                   = Ea *9.5*10-5/19.147

Ea                              = 0.4755*19.147/9.5*10-5    = 9.58*104 Joules

K   =A e-Ea/RT

4.65*10-2 = A e-9.58*104/8.314*310

4.65*10-2 = Ae-95800/2577.3

4.65*10-2 = Ae-37.17

A             = 4.65*10-2/7.2*10-17   = 6.45*1014 sec-1
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