Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 18, Problem 3P
(I) By what factor will the rms speed of gas molecules increase if the temperature is increased from 0°C to 180°C?
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(II) Show that the rms speed of molecules in a gas is given
by vrms = V3P/p, where P is the pressure in the gas and
pis the gas density.
(I) By what factor will the rms speed of gas moleculesincrease if the temperature is increased from 20°C to 160°C?
(I) A gas is at 20°C. To what temperature must it be raisedto triple the rms speed of its molecules?
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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- 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_forwardFind (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen molecules at 295 K.arrow_forward(II) The rms speed of molecules in a gas at 20.0°C is to beincreased by 4.0%. To what temperature must it be raised?arrow_forward
- i) Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all the molecules in 6 moles of air gas at a temperature of 700 K. (Molar mass of air is 28.97 x 10 ³ mole/kg, and kB = 1.38 x 10 23 J/K)arrow_forward(II) Is a gas mostly empty space? Check by assuming that the spatial extent of the gas molecules in air is about lo = 0.3 nm so one gas molecule occupies an approximate volume equal to l . Assume STP.arrow_forwardii) In a cylinder 5 moles of Methane gas (M=16.04 x 10³ kg/mole) is at 35 °C temperature. Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 10-23 J/K) (a) the average kinetic energy of a molecule, (b) the total random kinetic energy of all the molecules, and (c) the rms speed of a moleculearrow_forward
- (I) Calculate the number of molecules /m3 in an ideal gas at STParrow_forward(a) An ideal gas occupies a volume of 2.6 cm at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. molecules (b) If the pressure of the 2.6-cm volume is reduced to 1.8 x 10-11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container? molarrow_forwardi) Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all the molecules in 5 moles of methane gas at a temperature of 800 K. (Molar mass of methane is 16.04 x 10*mole/kg, and kB = 1.38 x 10-23 J/K)arrow_forward
- (a) An ideal gas occupies a volume of 1.0 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 1.0-cmarrow_forward32. (I) The oxygen molecule (O₂) has a diameter of 3 × 10-10 m. At a pressure of 10-8 Pa (in a vacuum system) and a temper- ature of 300 K find: (a) the number of molecules per cm³; (b) the mean free path.arrow_forward(II) What is the rms speed of nitrogen molecules containedin an 8.5 -m3 volume at 2.9 atm if the total amount ofnitrogen is 2100 mol?arrow_forward
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