In a capillary with a radius of 0.1 mm, the alcohol rose to a height of 56 mm to determine the alcohol

In a capillary with a radius of 0.1 mm, the alcohol rose to a height of 56 mm to determine the alcohol surface tension coefficient.

The height to which the alcohol rises in a capillary of radius r is calculated by the formula:

h = 2 * σ / (ρ * g * r), where the density of alcohol is ρ = 789 kg / m³, g is the acceleration of gravity, g ≈ 10 m / s2.

From here we find the coefficient of surface tension σ:

σ = ρ * g * r * h / 2 = 789 * 10 * 0.1 * 10-3 * 56 * 10-3 / 2 = 44184 * 10-6 / 2 = 22092 * 10-6 N / m = 0.022 N / m.

Answer: The surface tension coefficient of alcohol is 0.022 N / m.