How Does Temperature Affect the Rate Constant of a Reaction?

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Rate constant "answer check"

Homework Statement


given that activation energy for a certain reaction is 48 kJ/mol, and the rate constanct is 2.5 x 10-2 s-2 at 15 degrees Celsius. what is the rate constant at 37 degrees Celsius?



Homework Equations


ln k1/k2 = [Ea/R] [(T1-T20)/(T1*T2)]


The Attempt at a Solution


my answer is k1= .1037740579 = .104 s-1


thank you for all the help!
 
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Converting all temperatures to absolute and 48kJ to 48000 J so the units on the gas constant cancel I came up with 5.3*10^-3 s^-2

I used this equation:

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