Arrhenius equation

Question

The activation energy for the gas phase isomerization of dimethyl maleate is 111 kJ.

cis-CH₃OOCCH=CHCOOCH₃trans-CH₃OOCCH=CHCOOCH₃

The rate constant at 713 K is 9.77×10^-4 /s. The rate constant will be 8.54×10^-3 /s at  ______ K.

Please include steps on how to solve for T2

Answer 1

Here are the steps to solve for T2. I've answered similar questions for you before, so I'm not sure why you cannot just copy the other one and substitute these numbers. Here goes...

ln (k2/k1) = -Ea/R (1/T2 - 1/T1) ... ARRHENIUS EQUATION

k1 = 9.77x10^-4 s^-1

k2 = 8.54x10^-3 s^-1

Ea = 111 kJ / mol

R = 0.008314 kJ/Kmol

T1 = 713 K

T2 = ?

ln (8.54x10^-3 / 9.77x10^-4) = - 111/0.008314 (1/T2 - 1/713)

2.17 = - 13,351 (1/T2 - 1/713)

2.17 = -13351/T2 + 18.7

-16.55 = -13351 / T2

T2 = 807K