Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 18, Problem 56GP
A sample of ideal gas must contain at least N = 106 molecules in order for the Maxwell distribution to be a valid description of the gas, and to assign it a meaningful temperature. For an ideal gas at STP, what is the smallest length scale ℓ (volume V = ℓ3) for which a valid temperature can be assigned?
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Problem 6: There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are.
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T = P/( ρ kB )
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Part (c) The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a sphere of radius r = 5.8 × 1015 m (around 6 light years)…
Chapter 18 Solutions
Physics for Scientists and Engineers with Modern Physics
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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