Two clean parallel glass plates, separated by a distance d = 1.5 mm, are dipped in a bath of water. How far does the water rise due to capillary action, if σ = 0.0730 N/m?

The height of a liquid in capillary action is determined by two main factors: the surface tension of the liquid and the diameter of the object that it is climbing. The formula for predicting the level of water due to capillary action can be expressed as H = 2σcos θ/ρg, where σ is the surface tension of the liquid, θ is contact angle between the solid and liquid surfaces, ρ is density of liquid, and g is gravitational acceleration.

In this case we are given two parallel glass plates with a separation distance d = 1.5 mm that are dipped into a bath filled with water. With these parameters, we can calculate how far up from its original level would be expected for water to rise due to capillary action. To begin with we must assume some values for unknown variables such as contact angle (θ) and surface tension (σ). We will assume an average contact angle for glass which will be approximately 20 degrees (Shen et al., 2016), and use an estimated value for surface tension which should range from 0.065 N/m-0.085 N/m depending on type water used .

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