High School

A glass tube is inserted into water at 20°C in a cup. Determine the capillary rise of water in the tube.

Answer :

Final answer:

Capillary rise is the phenomenon where a liquid rises in a narrow tube due to the balance between adhesive and cohesive forces. The capillary rise of water in a glass tube can be determined using the equation 2T cosθh = rpg. By plugging in the known values, the height of the water in the tube can be calculated.

Explanation:

Capillary rise is the phenomenon where a liquid rises in a narrow tube due to the balance between adhesive and cohesive forces. In this case, we have a glass tube inserted into water at 20°C. The capillary rise of water in the tube can be determined using the equation 2T cosθh = rpg, where T' is the surface tension of water, θ is the contact angle between water and the tube, h is the height of the liquid inside the tube, r is the radius of the tube, p is the density of water, and g is the acceleration due to gravity.

Since the tube is made of glass and water molecules are strongly attracted to the glass surface, the contact angle is 0°. Therefore, the equation simplifies to 2T * cos0° * h = rpg. We can rearrange this equation to solve for h: h = rpg / (2T * cos0°). Plugging in the known values, we can calculate the capillary rise of water in the glass tube.

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