molecular biology - Why does the hydrolysis of ATP increasing entropy increase the Phosphoryl-­‐transfer Potential?

The phosphoryl transfer potential is one way to think about the free energy available to do useful work when ATP is hydrolysed.

As you can see from the free energy equation below, a positive change in entropy will help to decrease (i.e. make more negative) the free energy change.

This is why an endothermic reaction can still occur spontaneously if the entropy change is big enough to create an entropy term that outweighs the enthalpy term in the Gibbs free energy equation.

ΔG=ΔH - TΔS

where:
T= temperature
G = Gibbs free energy
H = enthalpy
S = entropy