In a capillary with a radius of 0.1 mm, the alcohol rose by 56 mm. Determine the surface tension coefficient of alcohol.

To calculate the value of the surface tension coefficient of alcohol, we use the formula: h = 4Ϭ / (ρс * g * d), whence we express: Ϭ = h * ρс * g * d / 4 = h * ρс * g * r / 2.

Constants and variables: h – the height of the rise of alcohol (h = 56 mm = 56 * 10-3 m); ρс – density of alcohol (ρс = 800 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); r is the radius of the capillary (r = 0.1 mm = 10-4 m).

Let’s make a calculation: Ϭ = h * ρс * g * r / 2 = 56 * 10-3 * 800 * 10 * 10-4 / 2 = 0.0224 N / m.

Answer: The surface tension coefficient of alcohol, according to the calculation, is 0.0224 N / m.