University Physics with Modern Physics (14th Edition)

14th Edition

ISBN: 9780321973610

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

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Textbook Question

Chapter 18, Problem 18.79P

CP Oscillations of a Piston. A vertical cylinder of radius r contains an ideal gas and is fitted with a piston of mass m that is free to move (Fig. P18.79). The piston and the walls of the cylinder are frictionless, and the entire cylinder is placed in a constant-temperature bath. The outside air pressure is p₀. In equilibrium, the piston sits at a height h above the bottom of the cylinder. (a) Find the absolute pressure of the gas trapped below the piston when in equilibrium. (b) The piston is pulled up by a small distance and released. Find the net force acting on the piston when its base is a distance h + y above the bottom of the cylinder, where y ≪ h. (c) After the piston is displaced from equilibrium and released, it oscillates up and down. Find the frequency of these small oscillations. If the displacement is not small, are the oscillations simple harmonic? How can you tell?

Figure P18.79

Chapter 18, Problem 18.79P, CP Oscillations of a Piston. A vertical cylinder of radius r contains an ideal gas and is fitted

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Chapter 18, Problem 18.78P

Chapter 18, Problem 18.80P

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Chapter 18 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 18.1 - Rank the following ideal gases in order from...Ch. 18.2 - Prob. 18.2TYU Ch. 18.3 - Rank the following gases in order from (a) highest...Ch. 18.4 - A cylinder with a fixed volume contains hydrogen...Ch. 18.5 - A quantity of gas containing N molecules has a...Ch. 18.6 - The average atmospheric pressure on Mars is 6.0 ...Ch. 18 - Section 18.1 states that ordinarily, pressure,...Ch. 18 - In the ideal-gas equation, could an equivalent...Ch. 18 - When a car is driven some distance, the air...Ch. 18 - The coolant in an automobile radiator is kept at a...

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