Practice Unit Test 2-VSp18-Quiz Save Question 14 (10 points) the hydrolysis by a

Question

Practice Unit Test 2-VSp18-Quiz Save Question 14 (10 points) the hydrolysis by a factor of (5.57x10 0)E6,hiw much is the activation energy of the catalysed reaction? Assume th frequency (A) factors for the catalyses and the uncatalysed reactions are identical and the temperature is 25 deg. C Note: Your answer is assumed to be reduced to the highest power possible Your Answer 53 9 10 14 15 20 units 19 20 2425 Il Question 15 (10 points) 2930 would yeu excect the reaction rate to increase a: 25 deg C? Assome the frequncy factors (A) for the catalvsed and the are idertical

Explanation / Answer

For same concentration level the reaction rate is determined by the rate factor, which is given by Arrhenius equation:

rate factor without catalyst:
k1= A·e^{ - Ea1 / (R·T) }
rate factor with catalyst:
k2= A·e^{ - Ea2 / (R·T) }

The ratio of the rate factors at same temperature is:
( k2/k1) = e^{ - Ea2 / (R·T) } / e^{ - Ea1 / (R·T) }
<=>
( k2/k1) = e^{ (Ea1- Ea2) / (R·T) }

Hence
Ea1- Ea2 = R·T·ln( k2/k1)
= 8.314472J/molk · 298K · ln(5.57*10^6)
= 38.48 kJ/mol

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