In the Arrhenius equation for a certain reaction the value of A and Ea (activation energy) are 4×1013sec⁡−1 and 98.6 kJ mol−1 respectively. If the reaction is of first order, the temperature at which its half-life period is 10 minutes is

Calculation of K We know that k=0.693t1/2=0.69310×60  (t1/2=10×60sec⁡)                        =1.1558×10−3According to Arrhenius equation log⁡k=log⁡A−Ea2.303RTSubstituting the various values in the above equation log⁡1.155×10−3=log⁡4×1013−98.62.303×8.314×10−3×TOn usual calculation, T = 311.35 K