Solution
= Solution
The equal <Arrhenius prefactors> cancel in the ratio:
$$
K_{298}=\frac{Ae^{-E_{a,1}/RT}}{Ae^{-E_{a,-1}/RT}}
=\exp\!\left(\frac{E_{a,-1}-E_{a,1}}{RT}\right)
=\exp\!\left(\frac{2230}{8.3145\times298}\right).
$$
Hence \b[$K_{298}=2.46$], favouring trans, with trans fraction $K/(1+K)=0.71095$. The factor 1000 converting the barrier difference from kilojoules to joules is essential.