Final answer:
To determine how high the water will rise in a glass capillary tube, one must use the capillary rise formula involving the surface tension, the density of the liquid, the gravitational acceleration, and the tube radius. For water at 25 °C and a tube diameter of 0.63 mm.
Step-by-step explanation:
The student's question relates to capillary rise, specifically how high water will rise in a glass capillary tube with an inner diameter of 0.63 mm at a temperature of 25 °C.
To solve this, we can refer to the capillary rise formula which relates the height of the liquid rise (h) to the surface tension (T), the density of the liquid (ρ), the acceleration due to gravity (g), and the radius of the capillary tube (r).
Although not specified in the question, we can assume standard Earth gravity and use the surface tension and density values provided in Example 10.4 for water at 25 °C:
Firstly, we need to convert the given density of water from g/cm³ to kg/m³ by multiplying by 1000, giving us 1000 kg/m³. Then we convert the diameter to radius by dividing by 2, and then we convert mm to meters by multiplying by 10^-3, yielding a radius of 0.63 mm / 2 = 0.315 mm, or 0.315 x 10^-3 m = 3.15 x 10^-4 m. The formula for capillary rise is:
h = (2T) / (ρgr)
Considering the gravity, g = 9.81 m/s², we can calculate the height as follows:
h = (2 * 71.99 x 10^-3 N/m) / (1000 kg/m³ * 9.81 m/s² * 3.15 x 10^-4 m)
After computing, we will obtain the height to which water will rise inside the capillary tube at 25 °C.