Chemical Kinetics And Nuclear Chemistry

The activation energy of one of the reactions in a biochemical process is 532611 J mol^\(-\)1. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k₃₀₀ = x \(\times\) 10^\(-\)3 k₃₁₀. The value of x is ____________.

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