Chemical Kinetics And Nuclear Chemistry

The first order rate constant for the decomposition of CaCO₃ at 700 K is 6.36 \(\times\) 10^\(-\)3s^\(-\)1 and activation energy is 209 kJ mol^\(-\)1. Its rate constant (in s^\(-\)1) at 600 K is x \(\times\) 10^\(-\)6. The value of x is ___________. (Nearest integer)

[Given R = 8.31 J K^\(-\) mol^\(-\)1; log 6.36 \(\times\) 10^\(-\)3 = \(-\)2.19, 10^\(-\)4.79 = 1.62 \(\times\) 10^\(-\)5]