Answer:
Eb = 7.7 kJ/mol
Explanation:
The formula for determining the rate of change of reaction based on the activation energies of the reactants is given as;
Log ( k1 / k2 ) = (Eb – E a) / (2.3 x R x T)
Here, K1 is the rate of reaction of A; K2 the rate of reaction of B
Eb is the activation energy of B
Ea is the activation energy of A
R , real gas constant and T is the temperature.
As per given information, putting the values in above formula;
log (1/10,000,000) = Eb - 83.7 kJ/mol / 2.3(0.008314 kJ/K mol)(298K)
-7 = Eb - 83.7 kJ/mol /5.69 kJ/mol
Eb = - 7 + 14.7
Eb = 7.7 kJ/mol
