Given below are two statements: R =8.314 J K^-1 mol^-1 and 1 cal =4.2 J Statement I: When Ea =12.6 kcal / mol, the room temperature rate constant is…

Given below are two statements : $\displaystyle \mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ and $\displaystyle 1 \mathrm{cal}=4.2 \mathrm{~J}$ Statement I : When $\displaystyle \mathrm{Ea}=12.6 \mathrm{kcal} / \mathrm{mol}$, the room temperature rate constant is doubled by a $\displaystyle 10$ °C increase in temperature ($\displaystyle 298$ K to $\displaystyle 308$ K) Statement II : For a first order reactions A → B, Here $\displaystyle [\mathrm{A}]_{\mathrm{o}}$ is the initial concentration of A and $\displaystyle \mathrm{t}_{1 / 2}$ is half life of reaction. In the light of the above statements, choose the correct answer from the options given below :