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How does sap get to the tops of tall trees? (Recall that a column of water can only rise to a height of 10 m when there is a vacuum at the top—see [link] .) The question has not been completely resolved, but it appears that it is pulled up like a chain held together by cohesive forces. As each molecule of sap enters a leaf and evaporates (a process called transpiration), the entire chain is pulled up a notch. So a negative pressure created by water evaporation must be present to pull the sap up through the xylem vessels. In most situations, fluids can push but can exert only negligible pull , because the cohesive forces seem to be too small to hold the molecules tightly together. But in this case, the cohesive force of water molecules provides a very strong pull. [link] shows one device for studying negative pressure. Some experiments have demonstrated that negative pressures sufficient to pull sap to the tops of the tallest trees can be achieved.

When the piston is raised the liquid stretches somewhat, which results in negative pressure.
(a) When the piston is raised, it stretches the liquid slightly, putting it under tension and creating a negative absolute pressure P = F / A size 12{P= - F/A} {} . (b) The liquid eventually separates, giving an experimental limit to negative pressure in this liquid.

Section summary

  • Attractive forces between molecules of the same type are called cohesive forces.
  • Attractive forces between molecules of different types are called adhesive forces.
  • Cohesive forces between molecules cause the surface of a liquid to contract to the smallest possible surface area. This general effect is called surface tension.
  • Capillary action is the tendency of a fluid to be raised or suppressed in a narrow tube, or capillary tube which is due to the relative strength of cohesive and adhesive forces.

Conceptual questions

The density of oil is less than that of water, yet a loaded oil tanker sits lower in the water than an empty one. Why?

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Is surface tension due to cohesive or adhesive forces, or both?

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Is capillary action due to cohesive or adhesive forces, or both?

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Birds such as ducks, geese, and swans have greater densities than water, yet they are able to sit on its surface. Explain this ability, noting that water does not wet their feathers and that they cannot sit on soapy water.

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Water beads up on an oily sunbather, but not on her neighbor, whose skin is not oiled. Explain in terms of cohesive and adhesive forces.

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Could capillary action be used to move fluids in a “weightless” environment, such as in an orbiting space probe?

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What effect does capillary action have on the reading of a manometer with uniform diameter? Explain your answer.

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Pressure between the inside chest wall and the outside of the lungs normally remains negative. Explain how pressure inside the lungs can become positive (to cause exhalation) without muscle action.

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Problems&Exercises

What is the pressure inside an alveolus having a radius of 2 . 50 × 10 4 m size 12{2 "." "50" times "10" rSup { size 8{ - 4} } `m} {} if the surface tension of the fluid-lined wall is the same as for soapy water? You may assume the pressure is the same as that created by a spherical bubble.

592 N/m 2 size 12{"592"`"N/m" rSup { size 8{2} } } {}

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(a) The pressure inside an alveolus with a 2 . 00 × 10 4 size 12{2 "." "00" times "10" rSup { size 8{ - 4} } } {} -m radius is 1 . 40 × 10 3 Pa size 12{1 "." "40" times "10" rSup { size 8{3} } `"Pa"} {} , due to its fluid-lined walls. Assuming the alveolus acts like a spherical bubble, what is the surface tension of the fluid? (b) Identify the likely fluid. (You may need to extrapolate between values in [link] .)

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What is the gauge pressure in millimeters of mercury inside a soap bubble 0.100 m in diameter?

2 . 23 × 10 2 mm Hg size 12{2 "." "23" times "10" rSup { size 8{ - 2} } `"mm"`"Hg"} {}

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Calculate the force on the slide wire in [link] if it is 3.50 cm long and the fluid is ethyl alcohol.

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[link] (a) shows the effect of tube radius on the height to which capillary action can raise a fluid. (a) Calculate the height h size 12{h} {} for water in a glass tube with a radius of 0.900 cm—a rather large tube like the one on the left. (b) What is the radius of the glass tube on the right if it raises water to 4.00 cm?

(a) 1 . 65 × 10 3 m size 12{1 "." "65" times "10" rSup { size 8{ - 3} } `m} {}

(b) 3 . 71 × 10 –4 m size 12{3 "." "71" times "10" rSup { size 8{4} } `m} {}

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We stated in [link] that a xylem tube is of radius 2 . 50 × 10 5 m . Verify that such a tube raises sap less than a meter by finding h for it, making the same assumptions that sap's density is 1050 kg/m 3 size 12{"1050"`"kg/m" rSup { size 8{3} } } {} , its contact angle is zero, and its surface tension is the same as that of water at 20.0º C .

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What fluid is in the device shown in [link] if the force is 3 . 16 × 10 3 N size 12{3 "." "16" times "10" rSup { size 8{ - 3} } `N} {} and the length of the wire is 2.50 cm? Calculate the surface tension γ size 12{g} {} and find a likely match from [link] .

6 . 32 × 10 2 N/m size 12{6 "." "32" times "10" rSup { size 8{ - 2} } `"N/m"} {}

Based on the values in table, the fluid is probably glycerin.

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If the gauge pressure inside a rubber balloon with a 10.0-cm radius is 1.50 cm of water, what is the effective surface tension of the balloon?

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Calculate the gauge pressures inside 2.00-cm-radius bubbles of water, alcohol, and soapy water. Which liquid forms the most stable bubbles, neglecting any effects of evaporation?

P w = 14 . 6 N/m 2 , P a = 4.46 N/m 2 , P sw = 7.40 N/m 2 . alignl { stack { size 12{P rSub { size 8{w} } ="14" "." 6`"N/m" rSup { size 8{2} } , } {} #p rSub { size 8{a} } =4 "." "46"`"N/m" rSup { size 8{2} } , {} # P rSub { size 8{"sw"} } =7 "." "40"`"N/m" rSup { size 8{2} } "." {}} } {}

Alcohol forms the most stable bubble, since the absolute pressure inside is closest to atmospheric pressure.

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Suppose water is raised by capillary action to a height of 5.00 cm in a glass tube. (a) To what height will it be raised in a paraffin tube of the same radius? (b) In a silver tube of the same radius?

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Calculate the contact angle θ size 12{θ} {} for olive oil if capillary action raises it to a height of 7.07 cm in a glass tube with a radius of 0.100 mm. Is this value consistent with that for most organic liquids?

5.1º size 12{5 "." 1°} {}

This is near the value of θ = size 12{θ=0°} {} for most organic liquids.

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When two soap bubbles touch, the larger is inflated by the smaller until they form a single bubble. (a) What is the gauge pressure inside a soap bubble with a 1.50-cm radius? (b) Inside a 4.00-cm-radius soap bubble? (c) Inside the single bubble they form if no air is lost when they touch?

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Calculate the ratio of the heights to which water and mercury are raised by capillary action in the same glass tube.

2 . 78 size 12{ - 2 "." "78"} {}

The ratio is negative because water is raised whereas mercury is lowered.

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What is the ratio of heights to which ethyl alcohol and water are raised by capillary action in the same glass tube?

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Questions & Answers

Suppose a speck of dust in an electrostatic precipitator has 1.0000×1012 protons in it and has a net charge of –5.00 nC (a very large charge for a small speck). How many electrons does it have?
Alexia Reply
how would I work this problem
Alexia
what is angular velocity
Obaapa Reply
Why does earth exert only a tiny downward pull?
Mya Reply
hello
Islam
Why is light bright?
Abraham Reply
what is radioactive element
Attah Reply
an 8.0 capacitor is connected by to the terminals of 60Hz whoes rms voltage is 150v. a.find the capacity reactance and rms to the circuit
Aisha Reply
thanks so much. i undersooth well
Valdes Reply
what is physics
Nwafor Reply
is the study of matter in relation to energy
Kintu
a submersible pump is dropped a borehole and hits the level of water at the bottom of the borehole 5 seconds later.determine the level of water in the borehole
Obrian Reply
what is power?
aron Reply
power P = Work done per second W/ t. It means the more power, the stronger machine
Sphere
e.g. heart Uses 2 W per beat.
Rohit
A spherica, concave shaving mirror has a radius of curvature of 32 cm .what is the magnification of a persons face. when it is 12cm to the left of the vertex of the mirror
Alona Reply
did you solve?
Shii
1.75cm
Ridwan
my name is Abu m.konnek I am a student of a electrical engineer and I want you to help me
Abu
the magnification k = f/(f-d) with focus f = R/2 =16 cm; d =12 cm k = 16/4 =4
Sphere
what do we call velocity
Kings
A weather vane is some sort of directional arrow parallel to the ground that may rotate freely in a horizontal plane. A typical weather vane has a large cross-sectional area perpendicular to the direction the arrow is pointing, like a “One Way” street sign. The purpose of the weather vane is to indicate the direction of the wind. As wind blows pa
Kavita Reply
hi
Godfred
what about the wind vane
Godfred
If a prism is fully imersed in water then the ray of light will normally dispersed or their is any difference?
Anurag Reply
the same behavior thru the prism out or in water bud abbot
Ju
If this will experimented with a hollow(vaccum) prism in water then what will be result ?
Anurag
What was the previous far point of a patient who had laser correction that reduced the power of her eye by 7.00 D, producing a normal distant vision power of 50.0 D for her?
Jaydie Reply
What is the far point of a person whose eyes have a relaxed power of 50.5 D?
Jaydie
What is the far point of a person whose eyes have a relaxed power of 50.5 D?
Jaydie
A young woman with normal distant vision has a 10.0% ability to accommodate (that is, increase) the power of her eyes. What is the closest object she can see clearly?
Jaydie
29/20 ? maybes
Ju
In what ways does physics affect the society both positively or negatively
Princewill Reply
Practice Key Terms 5

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Source:  OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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