Question

For a first-order reaction A →P, the temperature (T) dependent rate constant (k) was found to follow the equation

log k =-(2000)/T + 6.0

The pre-exponential factor A and the activation energy Ea, respectively, are

(a) 1.0 x 106 *-1 and, 9 .2 kJ mol-1

(b) 6.0 *-1 and 16.6 kJ mol-1

(c) 1.0 x 106 *-1 and 16.6 kJ mol-1

(d) 1.0 x 106 *-1 and 38.3 kJ mol-1

Answer 1

Correct option (d) 1.0 x 106s-1 and 38.3 kJ mol-1

Explanation:

Comparing the slope and intercept of the given equation with the following Arrhenius equation :

Hence, log A = 6 ie, A=106 *-1. Comparing slope gives Ea = 38.3 kJ,/mol.