For the solvolysis of a tertiary alkyl halide in ethanol, the ratio of rate constants for elimination and substitution, $k_E/k_S$, is 0.25 at 300 K and 0.40 at 330 K. Assuming the ratio of Arrhenius pre-exponential factors is temperature independent, and $R=8.314\mathrm{J}\mathrm{mo}{\mathrm{l}}^{-1}{\mathrm{K}}^{-1}$, the difference $E_a(\mathrm{E})-E_a(\mathrm{S})$ is

1. A$+1.29\mathrm{kJ}\mathrm{mo}{\mathrm{l}}^{-1}$; elimination has the higher activation energy
2. B$+12.9\mathrm{kJ}\mathrm{mo}{\mathrm{l}}^{-1}$; elimination has the higher activation energy
3. C$+29.7\mathrm{kJ}\mathrm{mo}{\mathrm{l}}^{-1}$; elimination has the higher activation energy
4. D$-12.9\mathrm{kJ}\mathrm{mo}{\mathrm{l}}^{-1}$; substitution has the higher activation energy