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The purpose is to determine the available energy. Some of the energy in any system is useless - can't be converted into useful work.
For a reaction with a positive enthalpy change (ΔH > 0) and a positive entropy change (ΔS > 0), the spontaneity is influenced by temperature through the Gibbs free energy equation: ΔG = ΔH - TΔS. As temperature increases, the TΔS term becomes larger, which can make ΔG more negative, thereby favoring spontaneity. Therefore, at higher temperatures, the reaction is more likely to be spontaneous, while at lower temperatures, it may not be spontaneous.
because, AMERICA!I'm a free man!
it is conventional to define gravitational potential energy (GPE) of object A to be 0 when the object is free from the gravitational field of object B (i.e. at a infinite distance away) As the objects get closer together, the GPE decreases, thus is less than 0. Therefore the GPE of any object normally has a negative value (however it all just depends on where you define to be the point at which the object has 0 GPE)
change in free energy is positive