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 73P
To determine
To find:
Frequency at which molecules collide in oxygen gas at
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33. ssm mmh Very fine smoke particles are suspended in air. The trans-
lational rms speed of a smoke particle is 2.8 × 10-3 m/s, and the temper-
ature is 301 K. Find the mass of a particle.
At what temperature (in C) is the rms speed of helium atoms(molar mass 4.00 g/mol) the same as the rms speed of nitrogen molecules(molar mass 28.0 g/mol) at 20.0 C? (Note that helium remains agas at temperatures above -269 C.)
A)An ideal gas is confined to a container at a temperature of 330 K.What is the average kinetic energy of an atom of the gas? (Express your answer to two significant figures.)
B)2.00 mol of the helium is confined to a 2.00-L container at a pressure of 11.0 atm. The atomic mass of helium is 4.00 u, and the conversion between u and kg is 1 u = 1.661 ××10−27 kg.Calculate vrmsvrms. (Express your answer to three significant figures.)
C)A gold (coefficient of linear expansion α=14×10−6K−1α=14×10−6K−1 ) pin is exactly 4.00 cm long when its temperature is 180∘∘C. Find the decrease in long of the pin when it cools to 28.0∘∘C? (Express your answer to two significant figures.)
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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- The mean free path λ and the mean collision time T of molecules of a diatomic gas with molecular mass 6.00 x10^-25 kg and radius r=1.0x10^-10m are measured.From these microscopic data we can obtain macroscopic properties such as temperature T and pressure P? If yes, consider λ=4.32x10^-8m and T=3.00x10^-10s and calculate T and P.a)It's not possible.b)Yes,T=150K and P~2.04atm.c)Yes,T=150K and P~4.08atm.d)Yes,T=300K and P~4.08atm.e)Yes,T=300K and P~5.32atmf)Yes,T=400K and P~4.08atmg)Yes,T=400K and P~5.32atm.arrow_forwardIn an interstellar gas cloud at 50.0 K, the pressure is 1.00 * 10-8 Pa. Assuming that the molecular diameters of the gases in the cloud are all 20.0 nm, what is their mean free path?arrow_forwardThe most probable speed an atom/molecule in an ideal gas in thermodynamic equilibrium at temperatureT will have is vmp=(2kgT/M)/2. What is the most probable speed in a gas of hydrogen molecules (H2) at 77 °C? m,=1.67x10 27 kg, kg=1.38x10 23 J/K.arrow_forward
- (a) Hydrogen molecules (molar mass is equal to 2.016 g/mol) have vrms equal to 193 m/s. What is the temperature? (b) Much of the gas near the Sun is atomic hydrogen (H rather than H2). Its temperature would have to be 1.5 × 107 K for the rms speed vrms to equal the escape velocity from the Sun. What is that velocity?arrow_forward34. Go Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the rms speed of the atoms are expressed in terms of m and vmss respectively (see the table). Suppose that m = 3.32 × 10-26 kg, and vms = 1223 m/s. Find the tem- perature of the gas in each tank. В C D A 2m 2m m Mass m 20ms V ms 2v, rms Rms speed Vmsarrow_forwardSoru The most probable speed an atom/molecule in an ideal gas in thermodynamic equilibrium at temperature T will have is vmp=(2kgT/M)/2. What is the most probable speed in a gas of hydrogen molecules (H2) at 77 °C? m,=1.67x10 27 kg, kg=1.38x10 23 J/K.arrow_forward
- The most probable speed an atom/molecule in an ideal gas in thermodynamic equilibrium at temperature T will have is vmp=(2kgT/M)-/2. What is the most probable speed in a gas of hydrogen molecules (H2) at 77 °C? mp=1.67x10-27 kg , ke=1.38x10-23 J/K.arrow_forwardA gas is cooled and trapped in a two-dimensional region by laser beams and magnets. The speed distribution function of the gas molecules obeys the two-dimensional Maxwell-Boltzmann distribution law, f(v)=2π(m2πkB T)ve−mv22kB T where m is the mass of a gas molecule, T is the temperature, and v is the speed. What is the average speed of the gas molecule?arrow_forwardWhat is the internal energy of 50 moles of neon gas (molecular mass = 20 u) at 20 C? R= 8.31 j/mol Karrow_forward
- Q7/ (a) Consider the partition function of ideal gas is given by: z(x) = -E(x) S e KT dx, where E(x) = 1/3 x² , find the internal energy (total energy). (b) The mass of N2 sample gas at 300K is 4.65x10 26 kg, calculate (1) the most probable speed (2) the average speed, (3) the rms speed of gas molecules.arrow_forwardB9arrow_forwardThe atomic and molecular rms speeds of gases, vrms, are usually quite large, even at low temperatures. What is vrms, in meters per second, for helium atoms at 4.95 K (which is close to the point of liquefaction)?arrow_forward
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