Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 20, Problem 17PQ
The noble gases neon (
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What is the density of diatomic nitrogen gas (N2) at a temperature of 20.00 C under a pressure of 100 kPa? The atomic mass of nitrogen is 14 g/mole.
a.
1.15 kg/m3
b.
1.97 kg/m3
c.
2.33 kg/m3
d.
2.76 kg/m3
e.
1.50 kg/m3
Suppose you have argon atoms in a sealed and isolated container, and they all have
the same speed of 4.2 x 10² m/s. The atoms then collide with one another until the
Maxwell-Boltzmann distribution is established.
a. What is the temperature of the gas at equilibrium?
b. What is the temperature at equilibrium if you would replace half of the argon
atoms by helium atoms?
A sealed cubical container 20.0 cm on a side contains neon gas with three times Avogadro's
number of atoms at a temperature of 20.0°C. Neon has molar mass of 20.2 g/mol.
a. Find the pressure of the gas.
b. What is the internal energy of the gas?
c. Find the average kinetic energy of an atom.
d. Find the rms speed of an atom.
Chapter 20 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 20.2 - In Example 20.1, we found that the rms value of a...Ch. 20.3 - If the temperature of a gas is doubled, what...Ch. 20.3 - Prob. 20.3CECh. 20.5 - Prob. 20.4CECh. 20.7 - Prob. 20.5CECh. 20.8 - Prob. 20.6CECh. 20 - Prob. 1PQCh. 20 - Prob. 2PQCh. 20 - Prob. 3PQCh. 20 - Prob. 4PQ
Ch. 20 - Prob. 5PQCh. 20 - Prob. 6PQCh. 20 - Prob. 7PQCh. 20 - Prob. 8PQCh. 20 - Particles in an ideal gas of molecular oxygen (O2)...Ch. 20 - Prob. 10PQCh. 20 - Prob. 11PQCh. 20 - Prob. 12PQCh. 20 - Prob. 13PQCh. 20 - Prob. 14PQCh. 20 - The mass of a single hydrogen molecule is...Ch. 20 - Prob. 16PQCh. 20 - The noble gases neon (atomic mass 20.1797 u) and...Ch. 20 - Prob. 18PQCh. 20 - Prob. 19PQCh. 20 - Prob. 20PQCh. 20 - Prob. 22PQCh. 20 - Prob. 23PQCh. 20 - Prob. 24PQCh. 20 - Prob. 25PQCh. 20 - Prob. 26PQCh. 20 - Prob. 27PQCh. 20 - Prob. 28PQCh. 20 - Consider the Maxwell-Boltzmann distribution...Ch. 20 - Prob. 30PQCh. 20 - Prob. 31PQCh. 20 - Prob. 32PQCh. 20 - Prob. 33PQCh. 20 - Prob. 34PQCh. 20 - Prob. 35PQCh. 20 - Prob. 36PQCh. 20 - Prob. 37PQCh. 20 - Prob. 38PQCh. 20 - Prob. 39PQCh. 20 - Prob. 40PQCh. 20 - Prob. 41PQCh. 20 - Prob. 42PQCh. 20 - Prob. 43PQCh. 20 - Prob. 44PQCh. 20 - Figure P20.45 shows a phase diagram of carbon...Ch. 20 - Prob. 46PQCh. 20 - Prob. 47PQCh. 20 - Consider water at 0C and initially at some...Ch. 20 - Prob. 49PQCh. 20 - Prob. 50PQCh. 20 - Prob. 51PQCh. 20 - Prob. 52PQCh. 20 - Prob. 53PQCh. 20 - Prob. 54PQCh. 20 - Prob. 55PQCh. 20 - Prob. 56PQCh. 20 - Consider again the box and particles with the...Ch. 20 - Prob. 58PQCh. 20 - The average kinetic energy of an argon atom in a...Ch. 20 - For the exam scores given in Table P20.60, find...Ch. 20 - Prob. 61PQCh. 20 - Prob. 62PQCh. 20 - Prob. 63PQCh. 20 - Prob. 64PQCh. 20 - Prob. 65PQCh. 20 - Prob. 66PQCh. 20 - Determine the rms speed of an atom in a helium...Ch. 20 - Consider a gas filling two connected chambers that...Ch. 20 - Prob. 69PQCh. 20 - Prob. 70PQCh. 20 - A 0.500-m3 container holding 3.00 mol of ozone...Ch. 20 - Prob. 72PQCh. 20 - Prob. 73PQ
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- Unreasonable Results The temperature inside a supernova explosion is said to be 2.001013K. (a) What would the average velocity vrmsof hydrogen atoms be? (b) What is unreasonable about this velocity? (b) Which premise or assumption is responsible?arrow_forwardThe Sun radiates like a perfect black body with an emissivity of exactly 1. (a) Calculate the surface temperature of the Sun, given that it is a sphere with a 7.00108m radius that radiates 3.801026W into 3-K space. (b) How much power does the Sun radiate per square meter of its surface? (c) How much power in watts per square meter is that value at the distance of Earth, 1.501011m away? (This number is called the solar constant.)arrow_forwardA cylinder contains a mixture of helium and argon gas in equilibrium at 150C. (a) What is the average kinetic energy for each type of gas molecule? (b) What is the rms speed of each type of molecule?arrow_forward
- (a) Estimate the specific heat capacity of sodium from the Law of Dulong and Petit. The molar mass of sodium is 23.0 g/mol. (b) What is the percent error of your estimate from the known value, 1230 J/kg ? `arrow_forwardThe air we breathe is largely composed of nitrogen (N2) and oxygen (O2) molecules. The mass of an N2 molecule is less than the mass of an O2 molecule. (a) For air at 300 K, is the average kinetic energy of an N2 molecule greater than, less than, or equal to the average kinetic energy of an O2 molecule? (b) Is the rms speed in air of an N2 molecule greater than, less than, or equal to the rms speed in air of an O2 molecule?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-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?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-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forwarda. Find the average translational kinetic energy of nitrogen molecules at room temperature, in eV. b. Find the average translational kinetic energy of a 1 microgram dust particle at room temperature, in eV. c. Find the mean speed of nitrogen molecules in thermal equilibrium, at room temperature. d. Find the mean speed of a 1 microgram dust particle in thermal equilibrium, at room temperature.arrow_forwardA sample of ideal gas is in a sealed container. The temperature of the gas and the volume of the container are both increased. What other properties of the gas necessarily change? (More than one answer may be correct.)A. The rms speed of the gas atoms B. The thermal energy of the gasC. The pressure of the gas D. The number of molecules of gasarrow_forward
- QUESTION 10 What is the density of diatomic nitrogen gas (N2) at a temperature of 20.00 C under a pressure of 100 kPa? The atomic mass of nitrogen is 14 g/mole. a. 1.97 kg/m³ ,3 b. 1.15 kg/m3 C. 2.33 kg/m3 d. 1.50 kg/m3 O e. 2.76 kg/m3arrow_forwardOne mole of hydrogen has a mass of 2 g. Calculate the mean speed of the hydrogen molecules at T = 300 K using the Maxwell- Boltzmann distribution. Select one: O a. 1579 m/s O b. 1782 m/s O c. O d. 459 m/s 1934 m/sarrow_forwardA cylinder contains 10 moles of Neon gas at 36.85 degree Centigrade temperature. The molar mas of Neon gas is 20.18 x 10^-3. The rms speed of a Neon gas molecule is_ O a. 453.795 m/s O b. 618.84 m/s O C.407.72 m/s O d. 643.91 m/sarrow_forward
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