Thomas Young. eq. relates surface tension with contact angle with surface but not to the two liquids.
In principle yes. The sessile drop method and the Wilhelmy plate method are obvious candidates. The key issue is contamination due to surface active agents that give rise to interfacial tension gradients that complicate the interpretation of the measurement.
Brian is right. You can use the Wilhelmy plate method and also you can use the DuNouy ring method. In standard equipment the ring and the plate are made of platinum or platinum-iridium to consider that the contact angle is zero. But strictly speaking, in these methods, you will be measuring the force in the ring or plate and not the contact angle.
Measuring the interfacial tension through contact angle measurement is a rather difficult way. The contact angle depends on three interfacial tensions (interfacial Gibbs energies), so only when you would know the SL and SG interfacial tensions you will be able to find the LG interfacial (surface) tension. (S=solid- L=liquid- and G=gas -phase).
The above anwers in fact specify often used methods (Wilhelmy plate; DuNouy ring) that directly lead to the LG surface tension under the assumption that there is complete wetting.
Thanks Dr. Koopal. Your insightful answer and pdf is really helpful in understanding the technique and phenomena of interfacial tension...
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