Gibbs Helmholtz equation is represented as : = T . For what value of will the reaction be spontaneous ? a) Positive b) Zero c) Negative d) Infinite

The Gibbs-Helmholtz equation, $\Delta G=\Delta H-T\Delta S$, determines the spontaneity of a reaction based on the Gibbs free energy change ($\Delta G$).

A reaction is spontaneous when it occurs naturally without continuous external energy input. According to thermodynamic principles:

• If $\Delta G<0$ (negative), the reaction is spontaneous because the system loses free energy.
• If $\Delta G=0$, the reaction is at equilibrium.
• If $\Delta G>0$ (positive), the reaction is non-spontaneous and requires energy input.

Thus, the correct answer is (c) Negative. A negative $\Delta G$ indicates that the reaction proceeds forward under the given conditions, releasing free energy.