Pressure diffence between water column in capillary tube and open vessel

In summary, the conversation discusses the comparison of pressure at two points, P and Q, in a capillary filled with water. The equation for upward force and the relationship between height and pressure are mentioned, but the main question is whether the pressure at P and Q is the same or different. The speaker suggests that the pressure should be the same due to the points being at the same height, but also considers the possibility of surface tension playing a role. A picture or further description of points P and Q is requested for better understanding.
  • #1
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Homework Statement



It is known that water in a capillary will rise to a certain height, as shown in the figure. Comparing the points P and Q, which point exhibit larger pressure?
a. P
b. Q
c. The pressure of P and Q are the same


Homework Equations


F_upward=2*pi*R*T*cos⁡θ
W=pi*R^2* ρgh
as upward force is counteracted by the weight of water
therefore the height of the column, h=(2T*cos⁡θ)/Rρg

The Attempt at a Solution


I think the pressure of P and Q should be same as they are at the same height, but can anyone give me an explanatory term for it?

Should I consider the surface tension and so on for this question ??
 
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  • #2
It would not hurt to have a description of points P and Q or better yet a picture.
 

Related to Pressure diffence between water column in capillary tube and open vessel

1. What is the significance of pressure difference between water column in a capillary tube and an open vessel?

The pressure difference between the water column in a capillary tube and an open vessel is an important factor in determining the flow of fluids through the tube. It is a result of the difference in height between the top of the open vessel and the top of the water column in the capillary tube, which creates a pressure gradient that drives the flow of fluid.

2. How does the diameter of the capillary tube affect the pressure difference between the water column and open vessel?

The diameter of the capillary tube plays a crucial role in the pressure difference between the water column and open vessel. A smaller diameter tube will have a greater pressure difference due to the increased surface tension of the water at the air-water interface. On the other hand, a larger diameter tube will have a smaller pressure difference as the surface tension is less significant.

3. What is the relationship between the height of the water column and the pressure difference?

The height of the water column in the capillary tube is directly proportional to the pressure difference between the water column and open vessel. As the height of the water column increases, so does the pressure difference, resulting in a higher flow rate through the tube.

4. Why is the pressure difference between the water column and open vessel important in capillary action?

The pressure difference between the water column and open vessel is crucial in capillary action because it is the driving force behind the movement of fluids through the capillary tube. Without this pressure difference, there would be no flow of fluid, and capillary action would not occur.

5. How does the surface tension of water affect the pressure difference in a capillary tube?

The surface tension of water plays a significant role in the pressure difference between the water column and open vessel in a capillary tube. As mentioned earlier, a smaller diameter tube will have a greater pressure difference due to the increased surface tension of the water at the air-water interface. This is because the surface tension creates a force that pulls the water up the tube, creating a higher pressure at the top of the water column compared to the open vessel.

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