The rate coefficient (k) for a particular reactions is 1.3 × 10^-4 M^-1 s^-1 at 100^° C, and 1.3 × 10^-3 M^-1 s^-1 at 150^° C. What is the energy of…

The rate coefficient (k) for a particular reactions is $\displaystyle 1.3 \times 10^{-4} \mathrm{M}^{-1} \mathrm{~s}^{-1}$ at $\displaystyle 100^{\circ} \mathrm{C}$, and $\displaystyle 1.3 \times 10^{-3} \mathrm{M}^{-1} \mathrm{~s}^{-1}$ at $\displaystyle 150^{\circ} \mathrm{C}$. What is the energy of activation $\displaystyle \left(\mathrm{E}_{\mathrm{A}}\right)$ (in kJ ) for this reaction? ( $\displaystyle \mathrm{R}=$ molar gas constant $\displaystyle =8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$ )