A certain batch of fireflies were observed to \"flash\" at the rate of 16.3 time

Question

A certain batch of fireflies were observed to "flash" at the rate of 16.3 times per minute at 25°C, and at the lower rate of 5.0 times a minute at a temperature of 15°C. Assume that the flashing is the result of an overall chemical reaction that has a single rate limiting step with the highest activation energy. Use this data to estimate the activation energy for this slowest step. You can assume that the concentrations of "reactants" in the fireflies do not depend on temperature.

Please write out the work and the solution!

Explanation / Answer

flash rate k1=16.3 min^-1 at temperature 298 K

flash rate k2=5.0 min^-1 at temperature 288 K

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

ln(5/16.3) = (Ea/8.314)*(1/298 - 1/288)

10142.05 = (Ea/8.314)

Ea = 84321.05 J/molK

Ea = 84.32 J/mol K

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