Rate of Reaction with Respect to Temperature

[Teemo]

Homework Statement

The rate of a reaction at 100˚C is four times the rate at
50˚C. What is its activation energy?
(A) 1152 kJ. mol-1
(B) 80.1 kJ. mol-1
(C) 54.0 kJ. mol-1
(D) 27.8 kJ. mol-1

Homework Equations

k=e^-E_a/RT

The Attempt at a Solution

I plugged in the activation energies into the equation to see the changes in rate at different temperatures, but I can't solve for the one that is 4x the rate at 100 degrees.

 

[DrClaude]

I plugged in the activation energies into the equation to see the changes in rate at different temperatures, but I can't solve for the one that is 4x the rate at 100 degrees.

Please show your work.

 

[Teemo]

Nevermind, I had a calculation error :p