Solution

ID: past-exam-of-the-soft-condensed-matter-course-of-the-university-of-cambridge/2021/section-b/5/c/solution

For an ideal smooth homogeneous substrate in thermodynamic equilibrium, Young's equation is
where denotes air, the solid, and the chosen liquid. It follows either by balancing tangential interfacial forces at the contact line or by varying the wetted area at fixed drop volume.
The dry Teflon–air surface energy is the same in the two measurements, so subtracting the two equations eliminates it:
Therefore
The water–Teflon interface has the higher interfacial free energy per unit area. Neither individual solid–liquid surface energy is determined without the solid–air value; the difference is determined.

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