If [tex]m[/tex] is the mass of the water that rises in the capillary tube of radius [tex]r[/tex], then what is the mass of the water which will rise in the tube?

Question

22-06-2024
Physics

High School

We appreciate your visit to If tex m tex is the mass of the water that rises in the capillary tube of radius tex r tex then what is the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

If [tex]m[/tex] is the mass of the water that rises in the capillary tube of radius [tex]r[/tex], then what is the mass of the water which will rise in the tube?

Answer :

Other Questions

Find [tex]$f(5)$[/tex] for [tex]$f(x)=\frac{1}{9}(3)^x$[/tex]. A. 81 B. 3 C. 27 D. 9

from ground level to the tip the statue of liberty and its

The Persian word "vizier" means: A. governor B. sheriff C. deputy D.

6. Which of the following drills are used for drilling holes in

Post-operative care of the morbidly obese client is being planned. Which of

You have a programming budget of 30 five-day man weeks for a

How much water must be added to 36.0 grams of SrCl₂ to

Calculate and compare the energy released by: (a) Fusion of 1.0 kg

At 1.217 atm and 39.3 C a sample of gas occupies 281.5

A toy rocket is launched straight up from the ground with an

damonsalvator7878 damonsalvator7878 · Answer 1 · 2024-03-24T08:43:35-04:00

Final Answer:

The mass (m) of the water that rises in the capillary tube of radius (r) can be determined using the capillary rise equation:[tex]$ m = \pi r^2 h \rho $, where $ h $ is the height of the capillary rise and $ \rho $ is the density of water.[/tex]

Explanation:

The capillary rise in a tube is influenced by the surface tension of the liquid (water, in this case) and the geometry of the tube. The mass of the water that rises ( m ) can be calculated using the formula [tex]$ m = \pi r^2 h \rho $,[/tex]

- ( pi ) is a mathematical constant (approximately 3.14),

- ( r ) is the radius of the capillary tube,

- ( h ) is the height of the capillary rise,

- ( p) is the density of water.

This formula is derived from the balance between the upward force due to surface tension and the downward force due to gravity. The surface area of the cross-section of the capillary tube[tex]($ \pi r^2 $)[/tex]he height of the capillary rise h gives the volume of water lifted. Multiplying this by the density of water[tex]($ \rho $)[/tex]ss.

Understanding and applying this formula allows for the precise calculation of the mass of water rising in a capillary tube based on its radius, the capillary rise, and the density of water.