Surface tension is a property of the surface of a liquid that allows it to resist an external force. It is the result of cohesion, which is the attraction between molecules of the same substance. In the case of water, the molecules at the surface do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them on the surface. This forms a sort of 'skin' on the water surface, causing it to behave as if it were under tension.

Capillarity, or capillary action, is a phenomenon where liquid spontaneously rises in a narrow space such as a thin tube, or in porous materials. This is due to intermolecular forces: when the adhesive forces (attraction between different types of molecules - in this case, the water and the glass) are stronger than the cohesive forces (attraction between same type of molecules - in this case, water molecules), the liquid will rise in the tube until the weight of the liquid column balances the capillary action force.

Now, let's calculate the surface tension of water using the given data. The height to which the liquid rises (h) is 20 mm or 0.02 m, the radius of the tube (r) is 0.5 mm or 0.0005 m, the density of water (ρ) is approximately 1000 kg/m³, and the acceleration due to gravity (g) is approximately 9.81 m/s².

The formula for surface tension (T) in relation to capillary rise is given by:

T = (ρ * g * r * h) / 2

Substituting the given values into the formula, we get:

T = (1000 kg/m³ * 9.81 m/s² * 0.0005 m * 0.02 m) / 2 = 0.04905 N/m

So, the surface tension of water in this case is approximately 0.04905 N/m.

Question

Surface tension is a property of the surface of a liquid that allows it to resist an external force. It is the result of cohesion, which is the attraction between molecules of the same substance. In the case of water, the molecules at the surface do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them on the surface. This forms a sort of 'skin' on the water surface, causing it to behave as if it were under tension.

Capillarity, or capillary action, is a phenomenon where liquid spontaneously rises in a narrow space such as a thin tube, or in porous materials. This is due to intermolecular forces: when the adhesive forces (attraction between different types of molecules - in this case, the water and the glass) are stronger than the cohesive forces (attraction between same type of molecules - in this case, water molecules), the liquid will rise in the tube until the weight of the liquid column balances the capillary action force.

Now, let's calculate the surface tension of water using the given data. The height to which the liquid rises (h) is 20 mm or 0.02 m, the radius of the tube (r) is 0.5 mm or 0.0005 m, the density of water (ρ) is approximately 1000 kg/m³, and the acceleration due to gravity (g) is approximately 9.81 m/s².

The formula for surface tension (T) in relation to capillary rise is given by:

T = (ρ * g * r * h) / 2

Substituting the given values into the formula, we get:

T = (1000 kg/m³ * 9.81 m/s² * 0.0005 m * 0.02 m) / 2 = 0.04905 N/m

So, the surface tension of water in this case is approximately 0.04905 N/m.

Knowee AI · Accepted Answer

Surface tension is a property of the surface of a liquid that allows it to resist an external force. It is the result of cohesion, which is the attraction between molecules of the same substance. In the case of water, the molecules at the surface do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them on the surface. This forms a sort of 'skin' on the water surface, causing it to behave as if it were under tension.

Capillarity, or capillary action, is a phenomenon where liquid spontaneously rises in a narrow space such as a thin tube, or in porous materials. This is due to intermolecular forces: when the adhesive forces (attraction between different types of molecules - in this case, the water and the glass) are stronger than the cohesive forces (attraction between same type of molecules - in this case, water molecules), the liquid will rise in the tube until the weight of the liquid column balances the capillary action force.

Now, let's calculate the surface tension of water using the given data. The height to which the liquid rises (h) is 20 mm or 0.02 m, the radius of the tube (r) is 0.5 mm or 0.0005 m, the density of water (ρ) is approximately 1000 kg/m³, and the acceleration due to gravity (g) is approximately 9.81 m/s².

The formula for surface tension (T) in relation to capillary rise is given by:

T = (ρ * g * r * h) / 2

Substituting the given values into the formula, we get:

T = (1000 kg/m³ * 9.81 m/s² * 0.0005 m * 0.02 m) / 2 = 0.04905 N/m

So, the surface tension of water in this case is approximately 0.04905 N/m.

Question

Solution

Similar Questions

Upgrade your grade with Knowee