Question

The equation k = `(6.5 xx 10^12 "s"^(-1))"e"^(- 26000 " K"//"T")` is followed for the decomposition of compound A. The activation energy for the reaction is ______ kJ mol^-1. (Nearest integer) (Given: R = 8.314 JK^-1 mol^-1)

Options

• 116 kJ mol^-1

• 205 kJ mol^-1

• 216 kJ mol^-1 

• 175 kJ mol^-1

Answer 1

The equation k = `(6.5 xx 10^12 "s"^(-1))"e"^(- 26000 " K"//"T")` is followed for the decomposition of compound A. The activation energy for the reaction is 216 kJ mol^-1.

Explanation:

Given, k = `(6.5 xx 10^12)"e"^(- 26000 " K")/"T"`  ...(1)

Arrhenuis eq: k = `"Ae"^(- "E"_"a"//"RT")`   ...(2)

On comparing (1) & (2), we get

`"E"_"a"/"RT" = 26000/"T"`

E_a = 26000 × R

E_a = 26000 K × 8.314 JK^-1 mol^-1

E_a = 216164 J mol^-1

E_a = 216.164 kJ mol^-1

E_a = 216 kJ mol^-1 (nearest integer)