Arrhenius Equation

Question

The activation energy for the gas phase isomerization of cis-cyanostyrene is 193 kJ.

cis-C₆H₅CH=CHCNtrans-C₆H₅CH=CHCN

The rate constant at 672 K is 3.87×10^-4 /s. The rate constant will be 5.42×10^-3 /s at _______  K.

Answer 1

I'm pretty sure this question has been asked and answered in this forum. Here's is a brief outline...hopefully you can do the math.

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

k1 = 3.87x10^-4 s^-1

k2 = 5.42x10^-3 s^-1

T1 = 672K

T2 = ?

Ea = 193 kJ/mol

R = 8.314 J/Kmol = 0.008134 J/Kmol (note to change units to match those of Ea)

Use these values in the Arrhenius equation and solve for T2