The surface tension of water is 0.0730 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?
Question
The surface tension of water is 0.0730 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?
Solution
To solve this problem, we will use the formula for capillary rise which is given by:
h = 2Tcos(θ)/ρgd
where: h = height of the water in the capillary tube T = surface tension of the water θ = contact angle (for water, it is approximately 0 degrees) ρ = density of the water (approximately 1000 kg/m^3) g = acceleration due to gravity (approximately 9.81 m/s^2) d = diameter of the capillary tube
Given: T = 0.0730 N/m d = 2.00 mm = 2.00 x 10^-3 m (since 1 m = 1000 mm)
Substituting the given values into the formula:
h = 2(0.0730 N/m)cos(0)/(1000 kg/m^3 * 9.81 m/s^2 * 2.00 x 10^-3 m)
Solving the above equation will give us the height of the water in the capillary tube.
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