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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Chapter 20, Problem 23P
(a)
To determine
The temperature at which average speed of the helium atoms equal to the escape speed from the earth.
(b)
To determine
The temperature at which average speed of the helium atoms equal to the escape speed from the moon.
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Review, At what temperature would the average speed of
helium atoms equal (a) the escape speed from the Earth, 1.12 x 10-4 m/s, and (b) the escape speed from the Moon, 2.37 x 103 m/s? Note:The mass of a helium atom is 6.64 x 10-27 kg.
At what temperature would the rms speed of helium atoms equal
a. the escape speed from Earth, 1.12 m/s
b. the escape speed from the Moon, 2.37 m/s?
Note: The mass of a helium atom is 6.64 x 10-27 kg and the Boltzmann’s constant is
At what temperature would the rms speed of helium atoms equal (a) the escape speed from Earth, 1.12 x 104 m/s and (b) the escape speed from the Moon, 2.37 x 103 m/s? Note: The mass of a helium atom is 6.64 x 10-27 kg.
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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- 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_forwardThe noble gases neon (atomic mass 20.1797 u) and krypton (atomic mass 83.798 u) are accidentally mixed in a vessel that has a temperature of 90.0C. What are the a. average kinetic energies and b. rms speeds of neon and krypton molecules in the vessel?arrow_forwardThe mass of a single hydrogen molecule is approximately 3.32 1027 kg. There are 5.64 1023 hydrogen molecules in a box with square walls of area 49.0 cm2. If the rms speed of the molecules is 2.72 103 m/s, calculate the pressure exerted by the gas.arrow_forward
- Decades ago, it was thought that huge herbivorous dinosaurs such as Apatosaurus and Brachiosaurus habitually walked on the bottom of lakes, extending their long necks up to the surface to breathe. Brarhiosaurus had its nostrils on the top of its head. In 1977, Knut Schmidt-Nielsen pointed out that breathing would be too much work for such a creature. For a simple model, consider a sample consisting of 10.0 L of air at absolute pressure 2.00 atm, with density 2.40 kg/m3, located at the surface of a freshwater lake. Find the work required to transport it to a depth of 10.3 m, with its temperature, volume, and pressure remaining constant. This energy investment is greater than the energy that can be obtained by metabolism of food with the oxygen in that quantity of air.arrow_forwardAt what temperature would the rms speed of hydrogen atoms equal the following speeds? (Note: The mass of a hydrogen atom is 1.66 x 10-27 kg.) (a) the escape speed from Earth, 1.12 x 104 m/s K (b) the escape speed from the Moon, 2.37 x 10³ m/s Karrow_forwardAn 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_forward
- At what temperature would the rms speed of the helium atoms (mass=6.66x10^-27kg) equal its escape speed from the earth which is 1.12x 10^4 m/s? Answer is given as 60509 K but cannot figure out how that could be it.arrow_forwardAt what temperature would the rms speed of deuterium atoms equal the following speeds? (Note: The mass of a deuterium atom is 3.32 x 10-2 kg.) (a) the escape speed from Earth, 1.12 x 104 m/s K (b) the escape speed from the Moon, 2.37 x 103 m/sarrow_forwardAt what temperature would the rms speed of nitrogen atoms equal the following speeds? (Note: The mass of a nitrogen atom is 2.32 ✕ 10−26 kg.) (a) the escape speed from Earth, 1.12 ✕ 104 m/s K(b) the escape speed from the Moon, 2.37 ✕ 103 m/s Karrow_forward
- A cylinder contains 15 moles of Ozone gas at 46.85 degree Centigrade temperature. The molar mas of Ozone gas is 47.99 x 10^-3. Boltzmann's constant k = 1.38 x 10^-23 J/K. The total random kinetic energy of all the Ozone gas molecules is a. 38641.8 J b. 82269 J c. 59832 J d. 50857.2 Jarrow_forwardAn 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?arrow_forwardA cylinder contains 15 moles of Ozone gas at 46.85 degree Centigrade temperature. The molar mas of Ozone gas is 47.99 x 10^-3. Boltzmann's constant k = 1.38 x 10^-23 J/K. The total random kinetic energy of all the Ozone gas molecules is a. 50857.2J O b. 82269 J O .59832 J O d. 38641.8Jarrow_forward
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