Explanation 1) Concept: By using the formula for the speed of sound from problem 19-91, we can show v 1 v 2 = M 2 M 1 2) Formula: From the problems 19-91, the speed of sound is v s = γ R T M 3) Given: i) v 1 is the velocity of the sound in a gas of molar mass M 1 . ii) v 2 is the velocity of the sound in a gas of molar mass M 2 . iii) The temperature T is same for v 1 and v 2 . iv) Hint: See Problems 19-91. 4) Calculations: From problem 19-91, the speed of sound is v s = γ R T M Where γ = C p / C V , R is gas constant, T is the temperature, and M is the molar mass. Therefore, the velocity v 1 of the sound in a gas of molar mass M 1 is given by v 1 = γ R T M 1 … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … …

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Chapter 19, Problem 93P

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To find:

v1v2 =M2M1

Where v1 and v2 are the velocities of the sound in a gas of molar mass M1 and M2 respectively.

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Chapter 19, Problem 92P

Chapter 19, Problem 94P

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Chapter 19 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

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Ch. 19 - Prob. 1P Ch. 19 - Gold has a molar mass of 197 g/mol. a How many...Ch. 19 - SSM Oxygen gas having a volume of 1000 cm3 at...Ch. 19 - A quantity of ideal gas at: 10.0C and 100 kPa...Ch. 19 - The best laboratory vacuum has a pressure of about...Ch. 19 - Water bottle in a hot car. In the American...Ch. 19 - Suppose 1.80 mol of an ideal gas is taken from a...Ch. 19 - Compute a the number of moles and b the number of...Ch. 19 - An automobile tire has a volume of 1.64 102 m3...Ch. 19 - A container encloses 2 mol of an ideal gas that...Ch. 19 - SSM ILW WWW Air that initially occupies 0.140 m3...Ch. 19 - GO Submarine rescue. When the U.S. submarine...Ch. 19 - Prob. 13P Ch. 19 - In the temperature range 310 K to 330 K, the...Ch. 19 - Suppose 0.825 mol of an ideal gas undergoes an...Ch. 19 - An air bubble of volume 20 cm3 is at the bottom of...Ch. 19 - GO Container A in Fig. 19-22 holds an ideal gas at...Ch. 19 - The temperature and pressure in the Suns...Ch. 19 - a Compute the rms speed of a nitrogen molecule at...Ch. 19 - Calculate the rms speed of helium atoms at 1000 K....Ch. 19 - SSM The lowest possible temperature in outer space...Ch. 19 - Find the rms speed of argon atoms at 313 K. See...Ch. 19 - A beam of hydrogen molecules H2 is directed toward...Ch. 19 - At 273 K and 1.00 102 atm, the density of a gas...Ch. 19 - Prob. 25P Ch. 19 - Prob. 26P Ch. 19 - Water standing in the open at 32.0C evaporates...Ch. 19 - At what frequency would the wavelength of sound in...Ch. 19 - SSM The atmospheric density at an altitude of 2500...Ch. 19 - Prob. 30P Ch. 19 - In a certain particle accelerator, protons travel...Ch. 19 - Prob. 32P Ch. 19 - Prob. 33P Ch. 19 - Prob. 34P Ch. 19 - Prob. 35P Ch. 19 - The most probable speed of the molecules in a gas...Ch. 19 - Prob. 37P Ch. 19 - Figure 19-24 gives the probability distribution...Ch. 19 - At what temperature does the rms speed of a...Ch. 19 - Two containers are at the same temperature. The...Ch. 19 - Prob. 41P Ch. 19 - What is the internal energy of 1.0 mol of an ideal...Ch. 19 - Prob. 43P Ch. 19 - GO One mole of ail ideal diatomic gas goes from a...Ch. 19 - ILW The mass of a gas molecule can be computed...Ch. 19 - Under constant pressure, the temperature of 2.00...Ch. 19 - The temperature of 2.00 mol of an ideal monatomic...Ch. 19 - GO When 20.9 J was added as heat to a particular...Ch. 19 - SSM A container holds a mixture of three...Ch. 19 - We give 70 J as heat to a diatomic gas, which then...Ch. 19 - Prob. 51P Ch. 19 - GO Suppose 12.0 g of oxygen O2 gas is heated at...Ch. 19 - SSM WWW Suppose 4.00 mol of an ideal diatomic gas...Ch. 19 - We know that for an adiabatic process pV = a...Ch. 19 - A certain gas occupies a volume of 4.3 L at a...Ch. 19 - Suppose 1.00 L of a gas with = 1.30, initially at...Ch. 19 - The volume of an ideal gas is adiabatically...Ch. 19 - GO Opening champagne. In a bottle of champagne,...Ch. 19 - GO Figure 19-26 shows two paths that may be taken...Ch. 19 - GO Adiabatic wind. The normal airflow over the...Ch. 19 - GO A gas is to be expanded from initial state i to...Ch. 19 - GO An ideal diatomic gas, with rotation but no...Ch. 19 - Figure 19-27 shows a cycle undergone by 1.00 mol...Ch. 19 - Calculate the work done by an external agent...Ch. 19 - An ideal gas undergoes an adiabatic compression...Ch. 19 - Prob. 66P Ch. 19 - An ideal monatomic gas initially has a temperature...Ch. 19 - Prob. 68P Ch. 19 - SSM The envelope and basket of a hot-air balloon...Ch. 19 - An ideal gas, at initial temperature T1 and...Ch. 19 - Prob. 71P Ch. 19 - At what temperature do atoms of helium gas have...Ch. 19 - Prob. 73P Ch. 19 - Prob. 74P Ch. 19 - The temperature of 3.00 mol of a gas with CV =...Ch. 19 - During a compression at a constant pressure of 250...Ch. 19 - SSM Figure 19-28 shows a hypothetical speed...Ch. 19 - Prob. 78P Ch. 19 - SSM An ideal gas undergoes isothermal compression...Ch. 19 - Oxygen O2 gas at 273 K and 1.0 atm is confined to...Ch. 19 - An ideal pas is taken through a complete cycle in...Ch. 19 - Prob. 82P Ch. 19 - SSM A sample of ideal gas expands from an initial...Ch. 19 - An ideal gas with 3.00 mol is initially in state 1...Ch. 19 - A steel lank contains 300 g of ammonia gas NH3 at...Ch. 19 - In an industrial process the volume of 25.0 mol of...Ch. 19 - Figure 19-29 shows a cycle consisting of five...Ch. 19 - An ideal gas initially at 300 K is compressed at a...Ch. 19 - A pipe of length L = 25.0 m that is open at one...Ch. 19 - In a motorcycle engine, a piston is forced down...Ch. 19 - For adiabatic processes in an ideal gas, show that...Ch. 19 - Air at 0.000C and 1.00 atm pressure has a density...Ch. 19 - Prob. 93P Ch. 19 - Prob. 94P Ch. 19 - Prob. 95P Ch. 19 - For air near 0C, by how much does the speed of...Ch. 19 - Prob. 97P

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v 1 v 2 = M 2 M 1 Where v 1 and v 2 are the velocities of the sound in a gas of molar mass M 1 and M 2 respectively.

Solution Summary: The author explains the formula for the speed of sound from problem 19-91.

Concept explainers

To find:

v1v2 =M2M1

Where v1 and v2 are the velocities of the sound in a gas of molar mass M1 and M2 respectively.

Want to see the full answer?

Chapter 19 Solutions

v 1 v 2 = M 2 M 1 Where v 1 and v 2 are the velocities of the sound in a gas of molar mass M 1 and M 2 respectively.

Solution Summary: The author explains the formula for the speed of sound from problem 19-91.

Concept explainers

To find: v1v2 =M2M1 Where v1 and v2 are the velocities of the sound in a gas of molar mass M1 and M2 respectively.

Want to see the full answer?

Chapter 19 Solutions

To find:

v1v2 =M2M1

Where v1 and v2 are the velocities of the sound in a gas of molar mass M1 and M2 respectively.