Need help finding magnitude of K.?
A particular first-order reaction has a rate constant of 1.35x10^2s−1 at 25.0∘C . What is the magnitude of k at 41.0∘ C if Ea = 55.5 kJ/mol .
Thanks in advance!
- Dr WLv 710 months agoFavourite answer
from the arrhenius equation
.. k = Ao exp(-Ea / RT)
for 2 conditions of different T with Ea held constant
.. k1 = Ao exp(-Ea / RT1)
.. k2 = Ao exp(-Ea / RT2)
dividing the 2nd by the first
.. k2 / k1 = (Ao / Ao) * exp(-Ea / RT2) / exp(-Ea / RT1)
.. k2 = k1 * exp[ (Ea/R) * (1/T1 - 1/T2) ]
.. k1 = 1.35x10^2 / sec
.. Ea = 55500 J/mol
.. R = 8.314 J/molK
.. T1 = 298.15K
.. T2 = 314.15K
you get to finish