Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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(I) By what factor will the rms speed of gas moleculesincrease if the temperature is increased from 20°C to 160°C?
(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) A gas is at 20°C. To what temperature must it be raisedto triple the rms speed of its molecules?
Chapter 18 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
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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- 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_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(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_forward
- (I) Calculate the number of molecules /m3 in an ideal gas at STParrow_forwardi) 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) 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
- (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_forward(I) Calculate the rms speed of helium atoms near thesurface of the Sun at a temperature of about 6000 K.arrow_forward(II) The lowest pressure attainable using the best availablevacuum techniques is about 10-12 N/m2 At such a pressure,how many molecules are there per cm3 at 0°C?arrow_forward
- (III) Calculate (a) the rms speed of an oxygen molecule at0°C and (b) determine how many times per second it wouldmove back and forth across a 5.0-m-long room on average,assuming it made no collisions with other molecules.arrow_forward(a) An ideal gas occupies a volume of 1.2 cm³ at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. molecules (b) If the pressure of the 1.2-cm³ volume is reduced to 2.2 x 10-11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container? molarrow_forward(II) Estimate the number of (a) moles and (b) moleculesof water in all the Earth’s oceans. Assume water covers75% of the Earth to an average depth of 3 kmarrow_forward
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