The rate constant of a first order reaction at $27^{\circ}$ is $10^{-3} \min ^{-1})$. The temperature coefficient of this reaction is 2. What is the rate constant $ (in min^{-1})$ at $17^{\circ}C$ for this reaction ?

Question

\[\begin {array} {1 1} (a)\;10^{-3} & \quad (b)\;5 \times 10^{-4} \\ (c)\;2 \times 10^{-3} & \quad (d)\;10^{-2} \end {array}\]