JEE Previous Year Question

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 $E_a=11.488{\text{kJmol}}^{-1}$, the rateconstant at 200K is _____ $\times {10}^{-5}{s}^{-1}$. (Round of to the Nearest Integer). (Given: $R=8.314{\text{Jmol}}^{-1}{K}^{-1}$)

Topic: JEE PYQ

Answer: 10. Full step-by-step solution below.