Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 2, Problem 12P
The pressure in an automobile tire depends on the temperature of air in the tire. When the air temperature is
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The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25 °C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m3, determine the pressure rise in the tire when the air temperature in the tire rises to 50 °C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. Assume the atmospheric pressure is 100 kPa.
: A mass of gas has a temperature of 150°C and volume of 0.2 m3. The temperature is changed to 50°C but the pressure is unchanged. Determine the new volume.
Air is enclosed by a rigid cylinder containing a piston. A pressure gage attached to the cylinder indicates an initial reading of 25 psi. Determine the reading on the gage (in psi) when piston has compressed the air to one-third its original volume. Assume the compression process to be isothermal and the local atmospheric pressure to be 14.7 psi.
Chapter 2 Solutions
Fluid Mechanics: Fundamentals and Applications
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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- An air bubble rises from the bottom of the well where the temperature is 20 degrees celsius to the surface where the temperature is 50 degrees celsius. If the existing pressure at the surface of the well water is 101.3 kPa and the pressure in the bottom of the well is 200 kPa, determine the percent increase in the volume of the bubble.arrow_forwardA rigid tank contains superheated water vapour at 300 kPa. When the tank is cooled, the superheated water vapour starts to condense at a temperature of 125°C. Determine the pressure and specific volume of the water at 125°C when the condensation process starts (kPa; m'/kg). Determine the temperature of the superheated water vapour (°C). Clearly show all calculations. Sketch the process on a properly labelled temperature versus specific volume (T-v) diagram with respect to saturation lines. i. ii. iii.arrow_forwardAn automobile tire is inflated to 32 psig pressure at 50°F. After being driven the temperature rise to 75 F. Determine the final gage pressure assuming the volume remain constant.arrow_forward
- The pressure in a car tire depends on the temperature of the air it contains. When that temperature is 25 ° C, the meter indicates 210 kPa. If the volume of the tire is 0.025 m3, determine the increase in pressure inside the tire when the temperature rises to 50 ° C. Also calculate the amount of air to bleed so that, keeping the temperature at 50 ° C, the pressure returns to its original value.Assume that the atmospheric pressure is 100 kPa. (see img)arrow_forwardDetermine the pressure and specific volume of water at 20 C that has an internal enegy of 1200 KJ/kg.arrow_forwarddetermine the pressure of superheated steam at 250 °c and specific volume of 0.05970 m3 /kg.arrow_forward
- A rigid tank contains water at a pressure of 200 kPa. The volume of the tank is 2 m^3. The mass of liquid in the tank is 0.5643 kg and the mass of vapor in the tank is 2.2572 kg. In the question that follows, select the answer that is closest to the true value. What is the quality of the water in the tank?arrow_forwardA pressure gage connected to a tank reads 500 kPa at a location where the atmospheric pressure is 94 kPa. Determine the absolute pressure in the tank.arrow_forwardIf 125 ft3 of atmospheric air at zero Fahrenheit temperature are compressed to a volume of 2 ft3 at temperature of 200°F, what will be the pressure of the air in psi?arrow_forward
- A vacuum gage connected to a chamber reads 25 kPa at a location where the atmospheric pressure is 97 kPa. Determine the absolute pressure in the chamber.arrow_forwardThe instrument reads a height equivalent to 0.95 atm. The air is compressed adiabatically to 87,000 Pa. Determine the Specific Volume and Temperature at the second state.arrow_forwardThe pressure gage on a 2.5-m³ oxygen tank reads 500 kPa. Determine the amount of oxygen in the tank if the temperature is 29°C and the atmospheric pressure is 97 kPa. The gas constant of air is R = 0.2598 kPa.m³/kg-K. 0₂ V = 2.5 m³ T°C P₁ = 500 kPa The amount of oxygen in the tank is 2.68 kg.arrow_forward
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