What is the activation energy for the decomposition of `N_(2)O_(5)` as
`N_(2)O_(5) hArr 2NO_(2)+1/2 O_(2)`
If the values of the rate constants are `3.45 xx 10^(-5)` and `6.9 xx 10^(-3)` at `27^(@)C` and `67^(@)C` respectively

Options

A. `102 xx 10^(2) kJ`
B. `488.5 kJ`
C. `112 kJ`
D. `14.7 kJ`

Answer

D

Explanation

`"log"(6.9 xx 10^(-3))/(3.45 xx 10^(-3)) = (E_(a)(340 - 300))/(8.314 xx 10^(-3) xx 2.303 xx 300 xx 340)`
`:. E_(a) = (0.301 xx 8.314 xx 10^(-3) xx 2.303 xx 300 xx 340)/(40)`
`= 14.7 KJ`