List of top Chemistry Questions on Rate of a Chemical Reaction asked in AP EAMCET

The rate constant of a first order reaction at 400 K and 500 K is respectively \( 2 \times 10^{-5} \, {s}^{-1} \) and \( 4 \times 10^{-3} \, {s}^{-1} \). What is the approximate activation energy (in kJ/mol\(^{-1}\))? (R = 8.3 J mol\(^{-1}\) K\(^{-1}\), log 2 = 0.3)
In the first order thermal decomposition of $C _{2} H _{5} I (g) \longrightarrow C _{2} H _{4}(g)+ HI (g)$, the reactant in the beginning exerts a pressure of $2$ bar in a closed vessel at $600 \,K$. If the partial pressure of the reactant is $0.1$ bar after $1000$ minutes at the same temperature the rate constant in $\min ^{-1}$ is $(\log 2=0.3010)$