Question

derive the formula for surfacetansion in capillary tube
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Answer 1

Answer:

What is the formula for capillary pressure?

The force down formula for capillary pressure is seen as: p c = π r 2 h ( Γ w − Γ n w ) π r 2 = h ( Γ w − Γ n w ) {displaystyle p_{c}={frac {pi r^{2}h(Gamma _{w}-Gamma _{nw})}{pi r^{2}}}=h(Gamma _{w}-Gamma _{nw})}

Explanation:

a) How do we define the surface tension of a liquid through the capillary rise method?

 When a liquid rises in a capillary tube, the weight of the column of the liquid of density ρ inside the tube is supported by the upward force of surface tension acting around the circumference of the points of contact.

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Answer 2

Answer:

The formula for capillary rise can be derived by balancing forces on the liquid column. The weight of the liquid (πr2hρg π r 2 h ρ g ) is balanced by the upward force due to surface tension (2πrσcosθ 2 π r σ cos ⁡ ). This formula can also be derived using pressure balance.

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