One Semester Webassign Access Code for Tipler Physics for Scientists and Engineers
9th Edition
ISBN: 9780716778486
Author: Tipler
Publisher: Macmillan Higher Education
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Chapter 17, Problem 78P
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Room temperature is 20 °C. Calculate the ratio v₂/V1,
where v₁ = the rms speed of a nitrogen molecule (mass = 30 u) and v₂ = the speed of a helium atom (mass = 4 u), in the room.
V1
OA: 2.74 OB: 3.64 OC: 4.84 OD: 6.44 OE: 8.57 OF: 11.40 OG: 15.16 OH: 20.16
A sample of 6 moles of an ideal diatomic gas experiences a temperature increase of 150 K at constant volume.
(a) Find the increase in internal energy if only translational and rotational motions are possible.
15706.5
X J
(b) Find the increase in internal energy if translational, rotational, and vibrational motions are possible.
22447.8
X J
(c) What fraction of the energy calculated in (b) is translational kinetic energy?
0.6
x
Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 19 oC. Take the radius of a nitrogen molecule to be roughly 1.0 Å. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of N2 =28.0 u)
Chapter 17 Solutions
One Semester Webassign Access Code for Tipler Physics for Scientists and Engineers
Ch. 17 - Prob. 1PCh. 17 - Prob. 2PCh. 17 - Prob. 3PCh. 17 - Prob. 4PCh. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - Prob. 9PCh. 17 - Prob. 10P
Ch. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - Prob. 14PCh. 17 - Prob. 15PCh. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - Prob. 19PCh. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - Prob. 22PCh. 17 - Prob. 23PCh. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - Prob. 27PCh. 17 - Prob. 28PCh. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - Prob. 37PCh. 17 - Prob. 38PCh. 17 - Prob. 39PCh. 17 - Prob. 40PCh. 17 - Prob. 41PCh. 17 - Prob. 42PCh. 17 - Prob. 43PCh. 17 - Prob. 44PCh. 17 - Prob. 45PCh. 17 - Prob. 46PCh. 17 - Prob. 47PCh. 17 - Prob. 48PCh. 17 - Prob. 49PCh. 17 - Prob. 50PCh. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - Prob. 53PCh. 17 - Prob. 54PCh. 17 - Prob. 55PCh. 17 - Prob. 56PCh. 17 - Prob. 57PCh. 17 - Prob. 58PCh. 17 - Prob. 59PCh. 17 - Prob. 60PCh. 17 - Prob. 61PCh. 17 - Prob. 62PCh. 17 - Prob. 63PCh. 17 - Prob. 64PCh. 17 - Prob. 65PCh. 17 - Prob. 66PCh. 17 - Prob. 67PCh. 17 - Prob. 68PCh. 17 - Prob. 69PCh. 17 - Prob. 70PCh. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Prob. 73PCh. 17 - Prob. 74PCh. 17 - Prob. 75PCh. 17 - Prob. 76PCh. 17 - Prob. 77PCh. 17 - Prob. 78PCh. 17 - Prob. 79PCh. 17 - Prob. 80P
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- a) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10¬26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2x10-10 frequency v in Hertz and the time between collisions t in seconds. m, compute the collisionarrow_forwardCalculate rms velocity of CO2 molecule at NTP.arrow_forwardWhat is the mean free path of molecules in an ideal gas in which the mean collision time is 4.00 × 10-10 s, the temperature is 294K, and the mass of the molecules is 6.00 × 10-25 kg? Assume that the molecules are moving at their root-mean-square speeds. The Boltzmann constant is 1.38 × 10-23 J/K. GIve your answer in Angstroms ( 1 Angstrom = 10-10 m)arrow_forward
- The gas of oxygen at temperature 100 °C can be treated as ideal gas. (a)What is the internal energy of the gas? (b) what is the average translational kinetic energy for each of the oxygen molecule? (Consider Oxygen as diatomic molecule structure which consists of translational and rotational degree of freedom only. No vibration motion is considered) Boltzmann constant is kg = 1.38 × 10-23J/Karrow_forwardEstimate the mean free path of a nitrogen molecule in a cylinder nitrogen at 2 atm and a temperature of 17 oC. Take the radius to be roughly equal to 1 x10-10 m. Boltzmann constant 1.38 x10-23 J/K.arrow_forwardWhat is the average thermal velocity of a hydrogen molecule H at 27 \deg C? (Assume: Boltzmann constant = 1.38 x 10-23 J/K and the mass of H is m = 3.32 x 10-27 kg)arrow_forward
- Show that for an ideal gas _ c p = _ c v + Ru.arrow_forwardThe 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_forwardWhat is the mean free path of molecules in an ideal gas in which the mean collision time is 3.00 x 1010 s, the temperature is 308K, and the mass of the molecules is 6.00 × 10-25 kg? Assume that the molecules are moving at their root- mean-square speeds. The Boltzmann constant is 1.38 x 10-23 J/K. Glve your answer in Angstroms ( 1 Angstrom = 10-10 m)arrow_forward
- Assuming the radius of diatomic molecules is approximately 1.0 x 10-10 m, for what pressure will the mean free path in room-temperature (20°C) nitrogen be 4.6 m?arrow_forwardThe pressure unit 1 torr is comparable to 0.001 bar. In a sample of N₂ at this pressure and a temperature of 300 K, what is the mean free path between collisions in mm (millimeters)? Assume that the cross-section for N₂ molecules is o = 4.50 × 10-19 m².arrow_forwardBy what factor does the rms speed of a molecule change if the temperature is increased from 24 °C to 1000 °C? VD ΑΣΦ Submit Request Answer ?arrow_forward
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