In a 1st order reaction, the fraction of molecules at 450ºC having sufficient energy (or fraction of effective collisions) is 1.92 × 10–16. What is activation energy value of this reaction?

Fraction of molecules having sufficient energy given by relation Activation Energy a E RT a e E Thus, 16 1.92 10 a E RT e x Taking ln on both sides 4 1 ln1.92 16ln10 0.652 36.84 36.19 723 36.19 723 8.314J/mole K 21.757 10 J mol a a a E RT E RT E R K R K R >> >> x x x x x