A particular first-order reaction has a rate constant of 1.35 * 102 s-1 at 25.0°c. what is the magnitude of k at 75.0°c if ea = 85.6 kj/mol?

According to this formula:

K = A * (e^ (-Ea/RT) when we have K = 1.35X10^2 & T = 25+273 = 298K &R=0.0821

Ea = 85.6 KJ/mol So by subsitution we can get A:

1.35x10^2 = A * (e^ (-85.6/0.0821*298))

1.35x10^2 = A * 0.03

A = 4333

by substitution with the new value of T (75+273) = 348K & A to get the new K

∴K = 4333 * (e^ (-85.6/0.0821*348)

= 2.16 x10^2