Answer :
Final answer:
The pressure at the bottom of the capillary tube is calculated using the hydrostatic pressure formula (№ = ρgh), with the density of the liquid, the acceleration due to gravity, and the height of the liquid column. Given a density of 0.10³ kg/m³ and a height of 7 cm, the hydrostatic pressure can be calculated, but the total pressure would also include atmospheric pressure, which is not provided.
Explanation:
The pressure at the bottom of a capillary tube containing a liquid that has risen to a specific height due to capillary action. The principle underlying this phenomenon is related to fluid mechanics, as part of the study of Physics. To calculate the pressure at the bottom of the capillary tube, one would need to account for the hydrostatic pressure due to the height of the liquid column as well as atmospheric pressure.
The hydrostatic pressure can be calculated using the formula № = ρgh, where:
- № is the hydrostatic pressure,
- ρ is the density of the liquid,
- g is the acceleration due to gravity, and
- h is the height of the liquid column.
By plugging in the values ρ = 0.10³ kg/m³, g = 9.81 m/s² (standard value of the acceleration due to gravity), and h = 0.07 m (converted from 7 cm to meters), we get № = 0.10³ kg/m³ × 9.81 m/s² × 0.07 m, which after calculation gives the hydrostatic pressure at the bottom of the tube. The atmospheric pressure, typically 101.3 kPa, would then be added to this value if the total pressure was required.
