Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 19, Problem 30P
To determine
To find:
Molecular diameter of nitrogen.
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The mean free path of nitrogen molecules at 0.0C and1.0 atm is 0.80 * 10-5 cm. At this temperature and pressure thereare 2.7 *10^19 molecules/cm3.What is the molecular diameter?
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R = 8.31 J/(mol*K)
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Chapter 19 Solutions
Fundamentals of Physics Extended
Ch. 19 - For four situations for an ideal gas, the table...Ch. 19 - In the p-V diagram of Fig. 19-17, the gas does 5 J...Ch. 19 - For a temperature increase of T1, a certain amount...Ch. 19 - The dot in Fig, 19-18a represents the initial...Ch. 19 - A certain amount of energy is to be transferred as...Ch. 19 - The dot in Fig. 19-18b represents the initial...Ch. 19 - a Rank the four paths of Fig. 19-16 according to...Ch. 19 - The dot in Fig. 19-18c represents the initial...Ch. 19 - Prob. 9QCh. 19 - Does the temperature of an ideal gas increase,...
Ch. 19 - Prob. 1PCh. 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. 13PCh. 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. 25PCh. 19 - Prob. 26PCh. 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. 30PCh. 19 - In a certain particle accelerator, protons travel...Ch. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - The most probable speed of the molecules in a gas...Ch. 19 - Prob. 37PCh. 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. 41PCh. 19 - What is the internal energy of 1.0 mol of an ideal...Ch. 19 - Prob. 43PCh. 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. 51PCh. 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. 66PCh. 19 - An ideal monatomic gas initially has a temperature...Ch. 19 - Prob. 68PCh. 19 - SSM The envelope and basket of a hot-air balloon...Ch. 19 - An ideal gas, at initial temperature T1 and...Ch. 19 - Prob. 71PCh. 19 - At what temperature do atoms of helium gas have...Ch. 19 - Prob. 73PCh. 19 - Prob. 74PCh. 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. 78PCh. 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. 82PCh. 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. 93PCh. 19 - Prob. 94PCh. 19 - Prob. 95PCh. 19 - For air near 0C, by how much does the speed of...Ch. 19 - Prob. 97P
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- Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forwardA gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forwardThe mean free path for helium at a certain temperature and pressure is 2.10 × 10−7 m. The radius of a helium atom can be taken as 1.10 × 10−11 m . What is the measure of the density of helium under those conditions (a) in molecules per cubic meter and (b) in moles per cubic meter?arrow_forward
- A sealed container has a volume of 0.012 m3 and contains 26.5 g of molecular nitrogen (N2), which has a molecular mass of 28.0 u. The gas is at 157 °C. What is the absolute pressure of the nitrogen gas, in kilopascals? 1 u = 1.67 x 10-27 kg.arrow_forwardTwo containers hold ideal gases at the same temperature.Container A has twice the volume and half the number of molecules as container B. What is the ratio PA>PB, where PA is the pressure in container A and PB is the pressure in container B?arrow_forwardProblem 7: Hydrogen molecules, with a molar mass of 2.016 g/mol, in a certain gas have an rms speed of 345 m/s. What is the temperature of this gas, in kelvins? T=arrow_forward
- The R.M.S. speed of the molecules of a gas at N.T.P. is 420 m/s. If the mass of each molecule is 6.8 x 10 26 kg, calculate the number of molecules per cubic meter of the gas (atmospheric pressure P = 105 N/m²).arrow_forwardOne mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen ? (Take the size of hydrogen molecule to be about 1 Å). Why is this ratio so large ?arrow_forwardAt what temperature is the rms speed of a molecule of hydrogen gas equal to 2000 m/s? The mass of a hydrogen molecule is 3.340×10^-27 kg. If you wished to reduce the rms speed of the molecules in hydrogen gas to 1000 m/s, what temperature would be required?arrow_forward
- What is the volume of a container that holds exactly 1 mole of anideal gas at standard temperature and pressure (STP), defined asT = 0°C = 273.15 K and p = 1 atm = 1.013 * 105 Pa?arrow_forwardThe mean free path of an oxygen gas molecule under a pressure of 1 atmosphere at 0° C is about 6 × 10-6 cm. If the time required for a molecule to travel the mean free path is 125 picosecond, what is the mean speed of the molecule in m/s?arrow_forwardThe density of air at standard conditions (P = 1 atm and T = 20ºC) is 1.28 kg/m3 . At what pressure is the density 0.64 kg/m3 if the temperature and number of molecules are kept constant?arrow_forward
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