Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 21, Problem 56AP
(a)
To determine
To show: The speed of sound in an ideal gas is
(b)
To determine
The speed of the sound in air at
(c)
To determine
The speed of sound in ideal gas is
(d)
To determine
The result by comparing the speed of sound with average and rms and molecular speed.
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For diatomic gases like nitrogen and oxygen that are the dominant constituents of air, γ = 1.2. What is the speed of sound at temperature 30.3°C (m/s)? (Hint: the composition of air can be viewed as 80% nitrogen and 20% oxygen, and you should know their mass.)
The sound speed = (γP/ρ)0.5, where P is the gas pressure, ρ is the gas density.
Rasim and Zhihan are experimenting to determine the speed of sound in m/s in air at 0°C.
Assuming air to be made up of diatomic molecules with a molecular mass of 29 g/mol, what is the
correct value they should expect for the speed of sound in m/s?
100. GO Argon (molecular mass = 39.9 u) is a monatomic gas. Assum-
ing that it behaves like an ideal gas at 298 K (y = 1.67), find (a) the rms
speed of argon atoms and (b) the speed of sound in argon.
Chapter 21 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 21.1 - Two containers hold an ideal gas at the same...Ch. 21.2 - (i) How does the internal energy of an ideal gas...Ch. 21.3 - Prob. 21.3QQCh. 21.3 - Prob. 21.4QQCh. 21 - Prob. 1OQCh. 21 - Prob. 2OQCh. 21 - Prob. 3OQCh. 21 - Prob. 4OQCh. 21 - Prob. 5OQCh. 21 - Prob. 6OQ
Ch. 21 - Prob. 7OQCh. 21 - Prob. 8OQCh. 21 - Prob. 9OQCh. 21 - Prob. 1CQCh. 21 - Prob. 2CQCh. 21 - Prob. 3CQCh. 21 - Prob. 4CQCh. 21 - Prob. 5CQCh. 21 - Prob. 6CQCh. 21 - Prob. 7CQCh. 21 - Prob. 1PCh. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Prob. 4PCh. 21 - A spherical balloon of volume 4.00 103 cm3...Ch. 21 - A spherical balloon of volume V contains helium at...Ch. 21 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 21 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 21 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 21 - In a constant-volume process, 209 J of energy is...Ch. 21 - Prob. 15PCh. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - A vertical cylinder with a heavy piston contains...Ch. 21 - Calculate the change in internal energy of 3.00...Ch. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - A certain molecule has f degrees of freedom. Show...Ch. 21 - Prob. 23PCh. 21 - Why is the following situation impossible? A team...Ch. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - During the compression stroke of a certain...Ch. 21 - Prob. 28PCh. 21 - Air in a thundercloud expands as it rises. If its...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44APCh. 21 - Prob. 45APCh. 21 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 21 - The Earths atmosphere consists primarily of oxygen...Ch. 21 - Prob. 48APCh. 21 - Prob. 49APCh. 21 - Prob. 50APCh. 21 - Prob. 51APCh. 21 - Prob. 52APCh. 21 - Prob. 53APCh. 21 - Prob. 54APCh. 21 - Prob. 55APCh. 21 - Prob. 56APCh. 21 - Prob. 57APCh. 21 - In a cylinder, a sample of an ideal gas with...Ch. 21 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 21 - Prob. 60APCh. 21 - Prob. 61APCh. 21 - Prob. 62APCh. 21 - Prob. 63APCh. 21 - Prob. 64APCh. 21 - Prob. 65APCh. 21 - Prob. 66APCh. 21 - Prob. 67APCh. 21 - Prob. 68APCh. 21 - Prob. 69APCh. 21 - Prob. 70APCh. 21 - Prob. 71APCh. 21 - Prob. 72APCh. 21 - Prob. 73APCh. 21 - Prob. 74CPCh. 21 - Prob. 75CP
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- Find the temperature in Kelvin at which the speed of sound in Helium is 316 m/s. Helium is an ideal monoatomic gas with a molar mass M = 4.003 g/mole and γ = 1.67.arrow_forward49. In a mixture of argon (atomic mass 5 39.9 u) and neon (atomic mass5 20.2 u), the speed of sound is 363 m/s at 3.00 3 102 K. Assume that both monatomic gases behave as ideal gases. Find the percentage of theatoms that are argon and the percentage that are neon.arrow_forwardAir at standard atmosphere is compressed adiabatically to 97,345 Pa. what are the pressure, density, temperature, and speed of sound.arrow_forward
- On a hot summer day, the temperature of air in Arizona reaches 103°F. What is the speed of sound in air at this temperature? (The speed of sound at 0°C is 331 m/s. Use the conversion 0°C = 273 K as necessary.)arrow_forward35. ssm The speed of a sound in a container of hydrogen at 201 K is 1220 m/s. What would be the speed of sound if the temperature were raised to 405 K? Assume that hydrogen behaves like an ideal gas.arrow_forwardCompute the molecular mass M of a gas for which y = 1.40 and in which the speed of sound is 1260 m/s at precisely 0°C.arrow_forward
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- The speed of sound, cs, in a perfect gas of molar mass M is related to the ratio of heat capacities γ by cs = (γRT/M)1/2. Show that cs = (γp/ρ)1/2, where ρ is the mass density of the gas. Calculate the speed of sound in argon at 25 °C.arrow_forwardThe speed of sound in air is 331 m/s at atmospheric pressure and 0 Celsius. Suppose you put a electronic pinger in an air-tight glass jar and change the pressure of the air inside by a factor 1.6, while the volume, composition and temperature of the air remain the same. What speed would you measure for the sound inside the jar? Give your answer in m/s.arrow_forward
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