Physics For Scientists & Engineers With Modern Physics, Volumes 2 & 3 (4th Edition)
4th Edition
ISBN: 9780321609748
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 18, Problem 72GP
To determine
The mean free path of the nitrogen molecules.
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Chapter 18 Solutions
Physics For Scientists & Engineers With Modern Physics, Volumes 2 & 3 (4th Edition)
Ch. 18.1 - In a mixture of the gases oxygen and helium, which...Ch. 18.1 - Now you can return to the Chapter-Opening...Ch. 18.1 - If you double the volume of a gas while keeping...Ch. 18.1 - By what factor must the absolute temperature...Ch. 18.4 - As the air warms up in the afternoon, how would...Ch. 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 - Is temperature a macroscopic or microscopic...Ch. 18 - Explain why the peak of the curve for 310 K in...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 - Prob. 14QCh. 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. 27QCh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - (I) By what factor will the rms speed of gas...Ch. 18 - (I) A gas is at 20C. To what temperature must it...Ch. 18 - (I) What speed would a 1.0-g paper clip have if it...Ch. 18 - (I) A 1.0-mol sample of hydrogen gas has a...Ch. 18 - (I) Twelve molecules have the following speeds,...Ch. 18 - (II) The rms speed of molecules in a gas at 20.0C...Ch. 18 - (II) If the pressure in a gas is tripled while its...Ch. 18 - Prob. 10PCh. 18 - (II) Show that for a mixture of two gases at the...Ch. 18 - (II) What is the rms speed of nitrogen molecules...Ch. 18 - (II) (a) For an ideal gas at temperature T show...Ch. 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 - (I) CO2 exists in what phase when the pressure is...Ch. 18 - (I) (a) At atmospheric pressure, in what phases...Ch. 18 - Prob. 25PCh. 18 - Prob. 26PCh. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - (II) If the air pressure at a particular place in...Ch. 18 - (II) What is the mass of water in a closed room...Ch. 18 - Prob. 33PCh. 18 - Prob. 34PCh. 18 - (II) A pressure cooker is a sealed pot designed to...Ch. 18 - (II) When using a mercury barometer (Section 136),...Ch. 18 - (II) If the humidity is 45% at 30.0C, what is the...Ch. 18 - Prob. 38PCh. 18 - Prob. 40PCh. 18 - (II) For oxygen gas, the van der Waals equation of...Ch. 18 - Prob. 44PCh. 18 - (II) At about what pressure would the mean free...Ch. 18 - Prob. 46PCh. 18 - (II) A very small amount of hydrogen gas is...Ch. 18 - Prob. 48PCh. 18 - Prob. 49PCh. 18 - Prob. 50PCh. 18 - Prob. 51PCh. 18 - Prob. 53PCh. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 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. 61GPCh. 18 - Prob. 62GPCh. 18 - Consider a container of oxygen gas at a...Ch. 18 - In humid climates, people constantly dehumidify...Ch. 18 - Prob. 65GPCh. 18 - Prob. 66GPCh. 18 - Prob. 67GPCh. 18 - At room temperature, it takes approximately 2.45 ...Ch. 18 - Calculate the total water vapor pressure in the...Ch. 18 - Prob. 70GPCh. 18 - The density of atoms, mostly hydrogen, in...Ch. 18 - Prob. 72GPCh. 18 - A sauna has 8.5 m3 of air volume, and the...Ch. 18 - Prob. 74GPCh. 18 - Prob. 75GP
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- Consider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANSarrow_forwardA 0.500-m3 container holding 3.00 mol of ozone (O3) is kept at a temperature of 250 K. Assume the molecules have radius r = 2.50 1010 m. What are the a. mean free path and b. mean free time between collisions for an ozone molecule in the container?arrow_forwardAn ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?arrow_forward
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