The standard equilibrium constant $K_P^{\circ}$ is positive and follows the relation
$K_P^{\circ}=\mathrm{e}^{-\Delta G^{\circ} / R T}$
Choose the correct statement(s).

• Correct answer
  A

  $\frac{d\left(\ln K_p^{\circ}\right)}{d T}=\frac{\Delta H^{\circ}}{R T^2}$ and the sign of $\Delta H^{\circ}$ determines whether $K_P^{\circ}$ increases or decreases as T increases.
• B

  Only the sign of $\Delta S^{\circ}$ determines the temperature dependence of $K_P^{\circ}$.
• Correct answer
  C

  At low $T$, equilibrium position is determined by internal energy change ( $\Delta U^{\circ}$ ).
• Correct answer
  D

  At high $T$, equilibrium position is determined by the entropy change ( $\left.\Delta S^{\circ}\right)$.

Hence, the correct answer is options: 'A', 'C', 'D'.