Description
Explanation & Answer
Use the Arrhenius equation
k = Ae-Ea/RT
k1 = Ae-Ea/RT ; k2 = Ae-Ea/RT
In ( k1/k2) = Ea/R ( 1/T1 - 1/T2)
In ( 2.82 X 10-3 Lmol-1 s-1/ 3.48 x 10-2 Lmol-2 s-1) = Ea/8.314 ( 1/608 - `1/801)
In ( 0.081034) = Ea/8.314 ( 0.0016- 0.0012)
-2.512 = Ea/8.314 ( 0.0004)
8.314 X -2.512 = Ea ( 0.0004)
-20.89/ 0.0004 = Ea (0.0004)/0.0004)
Ea = -5.22 X 10^-4
In K = ( - Ea/ R) ( 1/T) + In A
= - (-5.22 X 10^-4/ 8.314) ( 1/ 686) + In A
= 6264.73 X 0.00145 + 1
In K = 9.13 + 1= 10.13
K = e^10.13
= 2.5 X 10^4
and In A =1so, A = e^1 = 2.7183