The surface tension of soapy water is 0.0250 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?
Question
The surface tension of soapy water is 0.0250 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?
Solution
To solve this problem, we need to use the formula for capillary rise which is given by:
h = 2Tcos(θ)/ρgd
where: h is the height of the water in the capillary tube, T is the surface tension of the liquid, θ is the contact angle, ρ is the density of the liquid, g is the acceleration due to gravity, and d is the diameter of the capillary tube.
Given: T = 0.0250 N/m (surface tension of soapy water), d = 2.00 mm = 2.00 x 10^-3 m (diameter of the capillary tube), θ = 0 degrees (for water), ρ = 1000 kg/m^3 (density of water), and g = 9.81 m/s^2 (acceleration due to gravity).
Substituting these values into the formula, we get:
h = 2(0.0250 N/m)cos(0)/(1000 kg/m^3 * 9.81 m/s^2 * 2.00 x 10^-3 m)
Solving this equation will give us the height of the water in the capillary tube.
Similar Questions
An R mm radius glass tube is inserted into the water at 20°C in a cup. At 200 C the surface tension is 0.0728 N/m. The angle of contact is Theta degree.Here,R=0.6 mmTheta=(180/3)degreeDetermine the capillary rise of water in the tube in millimeters unit.
Height of liquid column in a capillary tube of radius 0.1 mm is 8 cm. If a new capillary tube of radius 0.05 mm is taken, then the height of the liquid column will be :-8 cm12 cm16 cm20 cm
Derive an expression for capillary height then calculate the capillary rise in a glasstube of 2.5mm diameter when immersed in (a)water angle of contact 00 and surfacetension =0.0725 N /m and (b) mercury angle of contact 1300 and surfacetension =0.52 N /m.(sp.gravity of mercury is 13.6)
Surface tension of a soap bubble is 2.0×10−2 N m−1 . Work done to increase the radius of soap bubble from 3.5 cm to 7 cm will be : [Take π=227 ]
Define surface tension and explain how it is responsible for the phenomenon of capillarity. A glass tube with an inner radius of 0.5 mm is dipped into water. The water level inside the tube is observed to rise to a height of 20 mm above the external water level. Calculate the surface tension of water.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.