Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 20, Problem 22P
(a)
To determine
The ratio of speeds for the isotopes of chlorine,
(b)
To determine
The isotope of chlorineamong
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The escape speed from the Moon is much smaller than from Earth, around 2.38 km/s.
a) At what temperature, in kelvins, would hydrogen molecules (with molar mass of 2.016 g/mol) have an rms speed equal to the Moon’s escape speed?
Nitrogen is released at one end of a pressure chamber of length 30 meters and takes 7 hours and 44 minutes to diffuse from one end of the chamber to the other. Given that the mean radius of a nitrogen molecule is 0.15 nm, and the chamber is at room temperature (∼300 K), determine the pressure to which the chamber was set (in atm).
An argon-40 atom has a mass of 6.64 ✕ 10−26 kg.
(a) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 ✕ 104 m/s?
(b) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 ✕ 103 m/s?
Chapter 20 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 20.1 - Two containers hold an ideal gas at the same...Ch. 20.2 - (i) How does the internal energy of an ideal gas...Ch. 20.3 - Prob. 20.3QQCh. 20.3 - Prob. 20.4QQCh. 20 - A spherical balloon of volume 4.00 103 cm3...Ch. 20 - A spherical balloon of volume V contains helium at...Ch. 20 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 20 - Prob. 4PCh. 20 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 20 - Prob. 6P
Ch. 20 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 20 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 20 - Calculate the change in internal energy of 3.00...Ch. 20 - Prob. 10PCh. 20 - In a constant-volume process, 209 J of energy is...Ch. 20 - A vertical cylinder with a heavy piston contains...Ch. 20 - Prob. 13PCh. 20 - A certain molecule has f degrees of freedom. Show...Ch. 20 - Prob. 15PCh. 20 - Why is the following situation impossible? A team...Ch. 20 - You and your younger brother are designing an air...Ch. 20 - During the compression stroke of a certain...Ch. 20 - Air in a thundercloud expands as it rises. If its...Ch. 20 - Prob. 20PCh. 20 - Air (a diatomic ideal gas) at 27.0C and...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27APCh. 20 - Prob. 28APCh. 20 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 20 - Prob. 30APCh. 20 - The Earths atmosphere consists primarily of oxygen...Ch. 20 - Prob. 32APCh. 20 - Prob. 33APCh. 20 - In a cylinder, a sample of an ideal gas with...Ch. 20 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 20 - Prob. 36APCh. 20 - Prob. 37APCh. 20 - Prob. 38APCh. 20 - Prob. 39APCh. 20 - Prob. 40APCh. 20 - Prob. 41APCh. 20 - On the PV diagram for an ideal gas, one isothermal...Ch. 20 - Prob. 43APCh. 20 - Prob. 44APCh. 20 - Prob. 45CP
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- From the MaxwellBoltzmann speed distribution, show that the most probable speed of a gas molecule is given by Equation 16.23. Note: The most probable speed corresponds to the point at which the slope of the speed distribution curve dNv/dv is zero.arrow_forwardEight bumper cars, each with a mass of 322 kg. are running in a room 21.0 m long and 130 m wide. They have no driver, so they just bounce around on their own. The rms speed of the cars is 2.50 m/s. Repeating the arguments of Pressure, Temperature, and RMS Speed, find the average force per unit length (analogous to Pressure) that the cars exert the walls.arrow_forwardUsing the method of the preceding problem, estimate the fraction of nitric oxide (NO) molecules at a temperature of 250 K that have energies between 3.451021 J and 3.501021 J. `arrow_forward
- Find (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen molecules at 295 K.arrow_forwardUsing a numerical integration method such as Simpson's rule, find the fraction of molecules in a sample of oxygen gas at a temperature of 250 K that have speeds between 100 m/s and 150 m/s. The molar mass of oxygen (O2) is 32.0 g/mol. A precision to two significant digits is enough.arrow_forwardShow that the RMS velocity of gas molecule is directly proportional to square root of its absolute temperature.arrow_forward
- An argon-40 atom has a mass of 6.64 ✕ 10−26 kg. (a) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 ✕ 104 m/s? K (b) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 ✕ 103 m/s? Karrow_forwardSuppose that the rms speed of carbon dioxide molecules, with molar mass of 44.0 g/mol, in a flame is found to be 0.95 × 105 m/s. a)What temperature, in kelvins, does this represent?arrow_forwardUsing the ideal gas law, PV = nRT, determine the volume 200 lbs of hydrogen would occupy at 180 degrees F and a pressure of 100 psig? Assume the constant “R” is 10.731 Ft3PSIA/0R lb mole and the molecular weight of H2 is 2 lbs./mole.arrow_forward
- Estimate the time needed for a glycine molecule (see Table 13−413−4 in the textbook) to diffuse a distance of 27 μmμm in water at 20 ∘C∘C if its concentration varies over that distance from 1.16 mol/m3mol/m3 to 0.40 mol/m3mol/m3 . Compare this "speed" to its rms (thermal) speed. The molecular mass of glycine is about 75 u. vdiffusevrmsvdiffusevrms =arrow_forwardTrue or False If the limit of flammability for gasoline is 3-11% by mass, is a room at 0.01 atm of gasoline in air in the range of flammability? (assume that gasoline does not displace any air or change the average MW of air of 28.9 g/mol). Assume gasoline is 114 g/mol.arrow_forward
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