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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

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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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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