Explanation 1) Concept: By using equations of average speed of the ideal gas Eq. (19-31) and the rms speed of the ideal gas Eq. (19-34), we can find the ratio m 1 / m 2 of the masses of their molecule. 2) Formula: i) The average speed of the ideal gas is v a v g = 8 R T π M ii) The rms speed of the ideal gas is v r m s = 3 R T M 3) Given: i) The first container is at pressure p 1 . ii) The molecule with mass is m 1 . iii) The rms speed is v r m s 1 . iv) The second container is at pressure p 2 . v) The molecule with mass is m 2 . vi) The rms speed is v a v g 2 = 2 v r m s 1 . 4) Calculations: The average speed of the molecule of ideal gas is given by v a v g = 8 R T π M … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … . … ( 19 - 31 ) The rms speed of the molecule of ideal gas is given by v r m s = 3 R T M … … … … … … … … … … … . . … … … … … … … … … … … … … … … … … … . … ( 19 - 34 ) From Eq. (19-31) and (19-34), we get v r m s 1 = 3 R T M 1 … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … . ( 1 ) And v a v g 2 = 8 R T π M 2 … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … …

11th Edition

ISBN: 9781119459132

Author: Halliday

Publisher: WILEY

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Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell establishe…

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Chapter 19, Problem 97P

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To find:

The ratio m1/m2 of the masses of their molecules.

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Chapter 19 Solutions

FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS

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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 - Prob. 60P 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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