Chemistry How Does Surface Area Affect the Free Energy of a Liquid?

[CatalinaAlmendra]

Homework Statement

Benzene at a temperature of 20 ° C has a surface tension of 28.9 x10-3 N / m and a density of 879 kg / m3.
a) If we immerse a 0.1 mm diameter capillary tube in it, how high will the liquid rise?
b) If a mass of 100 g is dispersed into drops of radius 1.0 mm, what will be the variation in the Helmholtz function and what is the minimum amount of work necessary to cause the dispersion?

Relevant Equations

Helmholtz free energy: A=U-TS

Hello, so first of all I want to clarify that english is not my first lenguage, so I'm really sorry for possible future errors. Second, this is a problem from my physical chemistry class, and I'm not sure where it fits better, if here or in the physics homework help, I'm sorry :(
So, I don't have any problem with question letter a), but letter b) it's another story, I'm not really looking for someone giving the exact answer, just guideness on how to solve the problem. I've been searching in books as Atkins and Levine, and yet I don't know how to answer the question

 

[TeethWhitener]

How does the free energy of the liquid vary with surface area?