Chemical Kinetics And Nuclear Chemistry

For the reaction P \(\to\) B, the values of frequency factor A and activation energy E_A are 4 \(\times\) 10¹³ s^\(-\)1 and 8.3 kJ mol^\(-\)1 respectively. If the reaction is of first order, the temperature at which the rate constant is 2 \(\times\) 10^\(-\)6 s^\(-\)1 is _____________ \(\times\) 10^\(-\)1 K.

(Given : ln 10 = 2.3, R = 8.3 J K^\(-\)1 mol^\(-\)1, log2 = 0.30)