The rate constant of a reaction is 6.7 × 10−3 s−1 at 25°C, and the activation energy is
33.6 kJ/mol.
What is k at 75°C? Enter your
answer in scientific notation.
Arrhenius equation states
k = A e-Ea/RT
where k = rate constant
A = preexponential factor
Ea = Activation energy
R = gas constant = 8.31 JK-1mol-1
T = temperature in Kelvin
ln k = -Ea/RT + ln A
so
ln(k1/k2) = Ea/R (T1-T2/T1T2)
ln(6.7 x 10-3/k2) = 33600/8.31 x (298 - 348 /298 x 348)
ln(6.7 x 10-3/k2) = 33600/8.31 x (4.821 x 10-4)
ln(6.7 x 10-3/k2) = -1.949
(6.7 x 10-3/k2) = e-1.949
(6.7 x 10-3/k2) = 0.1424
k2 = (6.7 x 10-3/0.1424
k2 = 4.7 x 10-2
The rate constant at 75 oC is 4.7 E-2
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