H and S were found to be both positive for a reversible reaction at temperature ' T '. If the equilibrium temperature is T _ o , the reaction will be spontaneous when

Step-by-step solution

For a reaction to be spontaneous, the change in Gibbs free energy must be negative, i.e., G The relationship between Gibbs free energy, enthalpy, and entropy is given by the equation G = H - T S . At equilibrium, G = 0 , which implies H - T_o S = 0 . Therefore, the equilibrium temperature is T_o = H S . For the reaction to be spontaneous, H - T S Since H > 0 and S > 0 , we have H H S . Substituting the expression for T_o , we get T > T_o . Answer: T>T_o