The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $\times$ 10^$-$3 s^$-$1 and the activation energy E_a = 11.488 kJ mol^$-$1, the rate constant at 200 K is ____________ $\times$ 10^$-$5 s^$-$1. (Round off to the Nearest Integer). (Given : R = 8.314 J mol^$-$1 K^$-$1)