The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is `:`
( Assume Activation energy and pre-exponential factor are independent of temperature, `ln(2) = 0.693, R = 8.314J - mol^(-1) K^(-1))`

Options

A. `107.2" kJ mol"^(-1)`
B. `53.6" kJ mol"^(-1)`
C. `26.8" kJ mol"^(-1)`
D. `214.4" kJ mol"^(-1)`

Answer

A

Explanation

In `(k_(2))/(k_(1)) =(epsi_(o))/(R ) ((1)/(T_(1))-(1)/(T_(2)))`
In `4=(epsi_(o))/(8.314) ((1)/(300)-(1)/(310)) rArr 1.386 xx8.314=epsi_(o) (0.000107)`
`epsi_(o) =(1.386xx8.314)/(0.000107526) rArr epsi_(o) =107.2" kJ/mol"`