Final answer:
Water will rise to a height of 7.29 cm in a glass capillary tube with a 0.500-mm radius.
Step-by-step explanation:
The height to which water will rise in a glass capillary tube can be determined by several factors, including surface tension, density of the liquid, and the radius of the tube. In this case, the radius of the tube is given as 0.500 mm. To calculate the height, we can use the formula:
h = (2T)/(pgr)
where h is the height, T is the surface tension, p is the density of the liquid, g is the acceleration due to gravity, and r is the radius of the tube. Plugging in the values for water (T = 71.99 mN/m, p = 1.0 g/cm³, g = 9.8 m/s²), and the given radius, we can calculate the height.
h = (2 * 71.99 * 10^-3)/(1.0 * 9.8 * 10^-2 * 0.500 * 10^-3)
= 0.0729 m = 7.29 cm
Therefore, the water will rise to a height of 7.29 cm in the glass capillary tube with a 0.500-mm radius.