8. Consider the following reaction: CH4 + O2 → HO2 + CH3. The rate coefficient is k = 3.8 x 10⁹ x T x exp (-20000/T) cm³/gmol.s. The CH4 and O2 mole fractions are 0.02 and 0.03 respectively. What is the activation energy of the reaction? Calculate the characteristic time of the reaction at 2100 K and P = 2 bar.

Fig: 1