Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 20, Problem 32AP
(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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There are several ways to calculate the speed of sound c, in a gas, for example
Y.R.T
Cs
M
where y is the adiabatic coefficient of the gas, R is the ideal gas constant, T is the temperature in Kelvin,
and M is the molar mass. Find the speed of sound in air at T = 0°C and at T = 20° C, use y = 1.4,
M = 28.97 g/mol, and 0°C = 273.15 K.
The speed of sound in air at 0°C, c, =
Units Select an answer
The speed of sound in air at 20°C, c2 =
Units Select an answer
A convenient approximate way to find the speed of sound at low temperatures (note that the temperature
must be small in Celsius, not in Kelvin: T(in C) « 273.15) is the following
T
Co/1 +
= Co + a T,
Cs
2)
273.15
where T is the gas temperature in Celsius and co and a are constants. Using the values you found above
(C1 and c2) find the constants co and a for the speed of sound in air.
The constant co =
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The constant a =
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Use the second (approximate) equation to find the speed of sound in…
Please answer it within 30 minutes.I will upvote!
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.
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 20 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 20.1 - Two containers hold an ideal gas at the same...Ch. 20.2 - (i) How does the internal energy of an ideal gas...Ch. 20.3 - Prob. 20.3QQCh. 20.3 - Prob. 20.4QQCh. 20 - A spherical balloon of volume 4.00 103 cm3...Ch. 20 - A spherical balloon of volume V contains helium at...Ch. 20 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 20 - Prob. 4PCh. 20 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 20 - Prob. 6P
Ch. 20 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 20 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 20 - Calculate the change in internal energy of 3.00...Ch. 20 - Prob. 10PCh. 20 - In a constant-volume process, 209 J of energy is...Ch. 20 - A vertical cylinder with a heavy piston contains...Ch. 20 - Prob. 13PCh. 20 - A certain molecule has f degrees of freedom. Show...Ch. 20 - Prob. 15PCh. 20 - Why is the following situation impossible? A team...Ch. 20 - You and your younger brother are designing an air...Ch. 20 - During the compression stroke of a certain...Ch. 20 - Air in a thundercloud expands as it rises. If its...Ch. 20 - Prob. 20PCh. 20 - Air (a diatomic ideal gas) at 27.0C and...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27APCh. 20 - Prob. 28APCh. 20 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 20 - Prob. 30APCh. 20 - The Earths atmosphere consists primarily of oxygen...Ch. 20 - Prob. 32APCh. 20 - Prob. 33APCh. 20 - In a cylinder, a sample of an ideal gas with...Ch. 20 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 20 - Prob. 36APCh. 20 - Prob. 37APCh. 20 - Prob. 38APCh. 20 - Prob. 39APCh. 20 - Prob. 40APCh. 20 - Prob. 41APCh. 20 - On the PV diagram for an ideal gas, one isothermal...Ch. 20 - Prob. 43APCh. 20 - Prob. 44APCh. 20 - Prob. 45CP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 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?arrow_forwardFind 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_forward
- Air at standard atmosphere is compressed adiabatically to 97,345 Pa. what are the pressure, density, temperature, and speed of sound.arrow_forwardOn a hot summer day, the temperature of air in Arizona reaches 104°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_forward
- Compute 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_forwardQ.2: Calculate the difference in the speeds of sound in air at -3°C, 60 cm pressure of mercury and 30°C, 75 cm pressure of mercury. The speed of sound in air at 0°C is 332 m/s.arrow_forwardThe accepted value for the speed of sound in dry air is 331.50 m/s at 0 °C. This speed increases by 0.607 m/s for each additional °C. Compute the accepted value for the speed of sound in air at a room temperature of 27 °C, also known as 300 K because T = 273.15 + t ( Here t is in degree Celsius).arrow_forward
- A car that is about to enter a tunnel and is moving at a top speed of 50.0 [kph]. To signal that the car is coming, the car driver blows a horn, producing a sound of some frequency. At that time, the temperature of the air is about 20.0°C. What is the speed of sound in air at this temperature? If the sound is reflected back by a wall at the opening of the tunnel, what is the ratio of the incident frequency and the received frequency heard by the car driver?arrow_forwardThe 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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