Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
5th Edition
ISBN: 9780134402628
Author: Douglas C. Giancoli
Publisher: PEARSON
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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/K
the partition function of an ideal gas of diatomic molecules in an external electric field & is
[g(V, T, 8)]"
Q(N, V, T, 8)
N!
where
(2mmkT
312 (87 IkT
-hv/2kT
e
q(V,T, 8)= V{
h2
(kT'
(µ8
sinh kT)
h2
(1 – e-hv/kT)
Here I is the moment of inertia of the molecule; v is its fundamental vibrational frequency;
and u is its dipole moment. Using this partition function along with the thermodynamic
relation,
dA = -S dT –p dV – M de
where M=Nū, where u is the average dipole moment of a molecule in the direction of the
external field &, show that
kT]
coth
kT,
Sketch this result versus & from & =0 to & =∞ and interpret it.
[11] An experimental balloon contains hydrogen gas (H2) at a temperature of 300 K and a pressure of 1
atm (1.01 X 10° N / m?). (a) Calculate the mean-free path of a hydrogen molecule. Assume that a H2
molecule is effectively spherical, with a mean diameter of 1.6 X 1010 m. (b) Calculate the available
volume per molecule (VI N), and find the average distance between each molecule and its nearest
neighboring molecule (approximately the cube root of the available volume). Which is larger, the mean
free path or the average nearest-neighbor distance between molecules? Exploring relationships
Chapter 18 Solutions
Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
Ch. 18.1 - Prob. 1AECh. 18.1 - Prob. 1BECh. 18.1 - Prob. 1CECh. 18.1 - Prob. 1DECh. 18.4 - Prob. 1EECh. 18 - Why doesnt the size of different molecules enter...Ch. 18 - When a gas is rapidly compressed (say, by pushing...Ch. 18 - In Section 181 we assumed the gas molecules made...Ch. 18 - Explain in words how Charless law follows from...Ch. 18 - Prob. 5Q
Ch. 18 - As you go higher in the Earths atmosphere, the...Ch. 18 - Prob. 7QCh. 18 - Explain why the peak of the curve for 310 K in...Ch. 18 - Is temperature a macroscopic or microscopic...Ch. 18 - Escape velocity for the Earth refers to the...Ch. 18 - Prob. 11QCh. 18 - If the pressure in a gas is doubled while its...Ch. 18 - What everyday observation would tell you that not...Ch. 18 - Alcohol evaporates more quickly than water at room...Ch. 18 - Explain why a hot humid day is far more...Ch. 18 - Is it possible to boil water at room temperature...Ch. 18 - What exactly does it mean when we say that oxygen...Ch. 18 - A length of thin wire is placed over a block of...Ch. 18 - Consider two days when the air temperature is the...Ch. 18 - (a) Why does food cook faster in a pressure...Ch. 18 - How do a gas and a vapor differ?Ch. 18 - (a) At suitable temperatures and pressures, can...Ch. 18 - Why does dry ice not last long at room...Ch. 18 - Under what conditions can liquid CO2 exist? Be...Ch. 18 - Why does exhaled air appear as a little white...Ch. 18 - Prob. 26QCh. 18 - Prob. 27QCh. 18 - Prob. 1MCQCh. 18 - Prob. 2MCQCh. 18 - Prob. 3MCQCh. 18 - Prob. 4MCQCh. 18 - Prob. 5MCQCh. 18 - Prob. 6MCQCh. 18 - Prob. 7MCQCh. 18 - Prob. 8MCQCh. 18 - Prob. 9MCQCh. 18 - Prob. 10MCQCh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - (I) A 1.0-mol sample of hydrogen gas has a...Ch. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - Prob. 16PCh. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - (I) A group of 25 particles have the following...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 24PCh. 18 - (I) (a) At atmospheric pressure, in what phases...Ch. 18 - Prob. 26PCh. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - (II) A pressure cooker is a sealed pot designed to...Ch. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - Prob. 43PCh. 18 - Prob. 44PCh. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - Prob. 49PCh. 18 - Prob. 53PCh. 18 - A sample of ideal gas must contain at least N =...Ch. 18 - In outer space the density of matter is about one...Ch. 18 - Calculate approximately the total translational...Ch. 18 - (a) Estimate the rms speed of an amino acid, whose...Ch. 18 - The escape speed from the Earth is 1.12 104 m/s,...Ch. 18 - Prob. 63GPCh. 18 - Prob. 66GPCh. 18 - Prob. 69GPCh. 18 - Prob. 71GPCh. 18 - Prob. 72GPCh. 18 - Prob. 73GPCh. 18 - Prob. 74GPCh. 18 - Prob. 75GPCh. 18 - Prob. 76GPCh. 18 - Prob. 77GP
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Similar questions
- Two monatomic ideal gases A and B are at the same temperature. If 1.0 g of gas A has the same internal energy as 0.10 g of gas B, what are (a) the ratio of the number of moles of each gas and (b) the ration of the atomic masses of the two gases?arrow_forwardAssuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)arrow_forwardFind (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen molecules at 295 K.arrow_forward
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- Derive an explicit equation for the change in internal energy of a van del Waals gas with the equation of state in the form: P =RT/(v − b) − a/v^2Assume cv varies linearly with temperature, cv = c1 + c2Tarrow_forwardUnreasonable results. (a) Find the average speed of hydrogen sulfide, H2 S , molecules at a temperature of 250 K. Its molar mass is 31.4 g/mol (b) The result isn’t very unreasonable, but why is it less reliable than those for, say, neon or nitrogen?arrow_forwardUnder the Equipartition Principle, in the high temperature limit, molecular heat capacity should be 1 -NR, where N is the number of atoms in 2 the molecule and R is the gas constant. O True O Falsearrow_forward
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