Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Question
Chapter 18, Problem 18P
(a)
To determine
The frequency with which the gas molecules strike a wall.
(b)
To determine
Show that the frequency of collision can be expressed as
(c)
To determine
The frequency of collision of molecules.
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Check out a sample textbook solutionChapter 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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- Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forwardTwo 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_forwardFor a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?arrow_forward
- A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P21.65). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state, (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally, (f) Find Q, W, and Eint for each of the processes, (g) For the whole cycle A B C A, find Q, W, and Eint.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_forward
- One cylinder contains helium gas and another contains krypton gas at the same temperature. Mark each of these statements true, false, or impossible to determine from the given information. (a) The rms speeds of atoms in the two gases are the same. (b) The average kinetic energies of atoms in the two gases are the same. (c) The internal energies of 1 mole of gas in each cylinder are the same. (d) The pressures in the two cylinders ale the same.arrow_forwardConsider 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 gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forward
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