FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 2, Problem 104P
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary effect. Determine how high the water solution will rise in a tree a 0.0026-mm-diameter tube as a result of the capillary effect. Treat the solution as water at
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Can someone please help me to solve the following question showing all work.
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary
effect. Determine how high (in meters) the water solution will rise in a tree in a 0.005-mm-diameter tube as a
result of the capillary effect. Treat the solution as water at 20°C with a contact angle of 15°.
Surface tension of some fluids in
air at 1 atm and 20°C (unless
otherwise stated)
Surface Tension
Fluid
, N/m*
Water:
0°C
0.076
0.073
20°C
100°C
300°C
Glycerin
SAE 30 oil
0.059
0.014
0.063
Mercury
Ethyl alcohol
Blood, 37°C
Gasoline
Ammonia
0.035
0.440
0.023
0.058
0.022
0.021
Soap solution
Kerosene
0.025
0.028
Chapter 2 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
Ch. 2 - What is the difference between intensive and...Ch. 2 - For a substance, what is the difference between...Ch. 2 - What is specific gravity? How is it related to...Ch. 2 - The specific weight of a system is defined as the...Ch. 2 - Under what conditions is the ideal-gas assumption...Ch. 2 - What is the difference between R and Ru? How are...Ch. 2 - A 75-L container is filled with 1 kg of air at a...Ch. 2 - A mass of 1-Ibm of argon is maintained at 200 psia...Ch. 2 - What is the specific volume of oxygen at 40 psia...Ch. 2 - A fluid that occupies a volume of 24 L weighs 22 N...
Ch. 2 - The air in an automobile tire with a volume of...Ch. 2 - The pressure in an automobile tire depends on the...Ch. 2 - A spherical balloon with a diameter of 9 m is...Ch. 2 - A cylindrical tank of methanol has a mass of 60kg...Ch. 2 - The combustion in a gasoline engine may be...Ch. 2 - Consider Table 2-1 in the textbook, which lists...Ch. 2 - What is vapor pressure? How is it related to...Ch. 2 - Does water boil at higher temperatures at higher...Ch. 2 - Prob. 22CPCh. 2 - What is cavitation? What causes it?Ch. 2 - Prob. 24EPCh. 2 - A pump is used to transport water to a higher...Ch. 2 - Prob. 26PCh. 2 - Prob. 27CPCh. 2 - List the forms of energy that contribute to the...Ch. 2 - How are heat, internal energy, and thermal energy...Ch. 2 - What is flow energy? Do fluids at rest possess any...Ch. 2 - How do the energies of a flowing fluid and a fluid...Ch. 2 - Using average specific heats, explain how internal...Ch. 2 - Prob. 33CPCh. 2 - Prob. 34EPCh. 2 - Saturated water vapor at 150°C (enthalpy...Ch. 2 - What does the coefficient of volume expansion of a...Ch. 2 - Prob. 37CPCh. 2 - Can the coefficient of compressibility of a fluid...Ch. 2 - Use the coefficient of volume expansion to...Ch. 2 - The volume of an ideal gas is to be reduced by...Ch. 2 - Water at 1 atm pressure is compressed to 400 atm...Ch. 2 - Prob. 42PCh. 2 - Saturated refrigerant-134a liquid at 10C is cooled...Ch. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - The density of seawater at a free surface where...Ch. 2 - Prob. 47EPCh. 2 - A frictionless piston-cylinder device contains 10...Ch. 2 - Reconsider Prob. 2-48. Assuming a bear pressure...Ch. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52CPCh. 2 - Prob. 53CPCh. 2 - In which medium will sound travel fastest for a...Ch. 2 - Prob. 55CPCh. 2 - Prob. 56CPCh. 2 - Prob. 57CPCh. 2 - Is then sonic ve1ocity a specified medium a fixed...Ch. 2 - Prob. 59PCh. 2 - Carbon dioxide enters an adiabatic nozzle at 1200...Ch. 2 - Prob. 61PCh. 2 - Assuming ideal gas behavior, determine the speed...Ch. 2 - Prob. 63PCh. 2 - Steam flows through a device with a pressure of...Ch. 2 - Air expands isentropically from 2.2 MPa 77C to 0.4...Ch. 2 - Repeat Prob. 2-66 for helium gas.Ch. 2 - The Airbus A-340 passenger plane has a maximum...Ch. 2 - Prob. 69CPCh. 2 - What is viscosity? What is the cause of it is...Ch. 2 - How does the kinematic viscosity of (a) liquids...Ch. 2 - Prob. 72CPCh. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - The dynamic viscosity of carbon dioxide at 50°C...Ch. 2 - Consider the flow of a fluid with viscosity ...Ch. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - A thin 30cm30cm flat plate is pulled at 3 m/s...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - For flow over a plate, the variation of velocity...Ch. 2 - In regions far from the entrance, fluid flow...Ch. 2 - Repeat Prob. 2-83 for umax=6m/s .Ch. 2 - A frustum-shaped body is rotating at a constant...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - A thin plate moves between two parallel,...Ch. 2 - Prob. 88PCh. 2 - A cylinder of mass m slides down from rest in a...Ch. 2 - What is surface tension” What is its cause? Why is...Ch. 2 - What is the capillary effect? What is its cause?...Ch. 2 - Prob. 92CPCh. 2 - Prob. 93CPCh. 2 - Is the capillary rise greater in small- or...Ch. 2 - Determine the gage pressure inside a soap bubble...Ch. 2 - A2.4-in-diameter soap bubble is to be enlarged by...Ch. 2 - Prob. 97PCh. 2 - Consider a 0.15-mm diameter air bubble a liquid....Ch. 2 - Prob. 99PCh. 2 - A capillary tube of 1.2 mm diameter is immersed...Ch. 2 - Prob. 101EPCh. 2 - Prob. 102PCh. 2 - Contrary to what you might expect, a solid steel...Ch. 2 - Nutrients dissolved in water are carried to upper...Ch. 2 - Consider a 55-cm-long journal bearing that is...Ch. 2 - Prob. 106PCh. 2 - Prob. 107EPCh. 2 - A 10-m3 tank contacts nitrogen at 25C and 800kPa....Ch. 2 - The absolute pressure of an automobile tire is...Ch. 2 - The analysis of a propeller that operates in water...Ch. 2 - A closed tank is partially filled with water at...Ch. 2 - Prob. 112PCh. 2 - A rigid tank contains an ideal gas at 300kPa and...Ch. 2 - The composition of a liquid with suspended solid...Ch. 2 - A newly produced pipe with diameter of 3m and...Ch. 2 - Prove that the coefficient of volume expansion for...Ch. 2 - Although liquids, in general, are hard to...Ch. 2 - Air expands isentropically from 200psia and 240F...Ch. 2 - Prob. 120PCh. 2 - Reconsider Prob. 2-120. The shaft now rotates with...Ch. 2 - Derive a relation for the capillary rise eta...Ch. 2 - A 10-cm diameter cylindrical shaft rotates inside...Ch. 2 - A large plate is pulled at a constant spend of...Ch. 2 - Some rocks or bricks contain small air pockets in...Ch. 2 - A fluid between two very long parallel plates is...Ch. 2 - The rotating parts of a hydroelectric power plant...Ch. 2 - The viscosity of some fluids changes when a strong...Ch. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - Oil of viscosity =0.0357Pas and density...Ch. 2 - Prob. 133PCh. 2 - Prob. 134PCh. 2 - Prob. 135PCh. 2 - Prob. 136PCh. 2 - Prob. 137PCh. 2 - Liquid water vaporizes into water vaper as it ?aws...Ch. 2 - In a water distribution system, the pressure of...Ch. 2 - The pressure of water is increased from 100kPa to...Ch. 2 - An ideal gas is compressed isothermally from...Ch. 2 - The variation of the density of a fluid with...Ch. 2 - Prob. 143PCh. 2 - The viscosity of liquids and the viscosity of...Ch. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - The dynamic viscosity of air at 20C and 200kPa is...Ch. 2 - A viscometer constructed of two 30-cm -long...Ch. 2 - A 0.6-mm-diameter glass tube is inserted into...Ch. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 155PCh. 2 - Prob. 156PCh. 2 - Prob. 157PCh. 2 - Evan though steel is about 7 to 8 times denser...
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