If the rate constant increases from 0.40 M –1 s –1 at 25°C to 0.80 M –1 s –1 at 35°C, what is the activation energy in kJ/mol for this reaction?
Answer :
To calculate activation energy (Ea)
Given,
Rate constant at 25°C (K1 ) = 0.40 M-1 s-1
Rate constant at 35°C (K2) = 0.80 M-1 s-1.
T1 = 25°C = 298 K
T2 = 35°C = 308 K
To solve this problem we can directly use two point form of Arrhenius equation
ln ( K2/ K1) = - Ea / R [ ( 1/T2) - ( 1/T1) ]
Step by step calculation is given in the image attached
Ea (activation energy) = 52.86 kJ /mol
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