Liquid Surface Tension from the Capillary Rise Method

1 Liquid Surface Tension from the Capillary Rise Method 

As discussed in Section 4.4, when a solid capillary tube is inserted into a liquid, the liquid is generally raised (or rarely depressed) in this tube. In the capillary rise method, the height of a liquid column in a capillary tube above the level of the reference liquid contained in a large dish is measured. The container must be sufficiently large so that the reference liquid 

The APA term can also be calculated by using the Young-Laplace equation (Equation (325) in Section 4.3.3) at the point A. If we combine Equations (472) and (325), then we have 

As we see in Section 4.3.2, for any curve that is written in the form of a y = fix) function, where/has continuous first and second derivatives in rectangular Cartesian coordinates, the curvature in two-dimensions can be calculated from Equation (296), so that 

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