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I believe this equation was derived from the equation on the constants and equations sheet: k=A exp(-Ea/RT), where ln(k'/k) was used because of the reaction being first order and T being extracted from (-Ea/RT) to become Ea/r(1/T - 1/T'). I'm not entirely sure about this, but I hope this helps.
I calculated using joules and had my answer off by a factor of 103 which is reasonable because converting to kilojoules would provide me with the same answer as the solution manual. Perhaps there was some miscalculation in the process?
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