University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 18, Problem 18.30E
A container with volume 1.64 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-
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A container with volume 1.64 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy. If the root-mean-square speed of the gas molecules is 182 m/s, what is the pressure of the gas?
A container with volume 1.63 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy.If the root-mean-square speed of the gas molecules is 192 m/s , what is the pressure of the gas? Express the answer in pascals.
A frictionless piston of mass m = 3.0 kg is a precise fit in the narrow vertical cylindrical neck of a large container of volume V = 1000 litres and can move frictionless. The container is filled with an ideal gas and there is a vacuum above the piston. The cross-sectional area of the neck is A = 1.00 x 10-4 m2.
a) Assuming that the pressure and volume of the gas change slowly and isothermally, determine the differential equation of motion for small displacements of the piston about its equilibrium position and hence calculate the angular frequency of oscillation.
[Hint: find an equilibrium pressure and consider how small displacement of the piston from the equilibrium position changes the volume and pressure in the vessel].
b) Without calculation, consider whether the frequency will increase or decrease if the pressure and volume of the gas were to change adiabatically. Explain your reasoning.
Chapter 18 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 18.1 - Rank the following ideal gases in order from...Ch. 18.2 - Prob. 18.2TYUCh. 18.3 - Rank the following gases in order from (a) highest...Ch. 18.4 - A cylinder with a fixed volume contains hydrogen...Ch. 18.5 - A quantity of gas containing N molecules has a...Ch. 18.6 - The average atmospheric pressure on Mars is 6.0 ...Ch. 18 - Section 18.1 states that ordinarily, pressure,...Ch. 18 - In the ideal-gas equation, could an equivalent...Ch. 18 - When a car is driven some distance, the air...Ch. 18 - The coolant in an automobile radiator is kept at a...
Ch. 18 - Unwrapped food placed in a freezer experiences...Ch. 18 - A group of students drove from their university...Ch. 18 - The derivation of the ideal-gas equation included...Ch. 18 - A rigid, perfectly insulated container has a...Ch. 18 - (a) Which has more atoms: a kilogram of hydrogen...Ch. 18 - Use the concepts of the kinetic-molecular model to...Ch. 18 - The proportions of various gases in the earths...Ch. 18 - Comment on the following statement: When two gases...Ch. 18 - Prob. 18.13DQCh. 18 - The temperature of an ideal gas is directly...Ch. 18 - If the pressure of an ideal monatomic gas is...Ch. 18 - In deriving the ideal-gas equation from the...Ch. 18 - Imagine a special air filter placed in a window of...Ch. 18 - Prob. 18.18DQCh. 18 - Consider two specimens of ideal gas at the same...Ch. 18 - The temperature of an ideal monatomic gas is...Ch. 18 - Prob. 18.21DQCh. 18 - (a) If you apply the same amount of heat to 1.00...Ch. 18 - Prob. 18.23DQCh. 18 - In a gas that contains N molecules, is it accurate...Ch. 18 - The atmosphere of the planet Mars is 95.3% carbon...Ch. 18 - Prob. 18.26DQCh. 18 - Ice is slippery to walk on, and especially...Ch. 18 - Hydrothermal vents are openings in the ocean floor...Ch. 18 - The dark areas on the moons surface are called...Ch. 18 - In addition to the normal cooking directions...Ch. 18 - A 20.0-L tank contains 4.86 104 kg of helium at...Ch. 18 - Helium gas with a volume of 3.20 L, under a...Ch. 18 - A cylindrical tank has a tight-fitting piston that...Ch. 18 - A 3.00-L lank contains air at 3.00 atm and 20.0C....Ch. 18 - Planetary Atmospheres. (a) Calculate the density...Ch. 18 - You have several identical balloons. You...Ch. 18 - A Jaguar XK8 convertible has an eight-cylinder...Ch. 18 - A welder using a tank of volume 0.0750 m3 fills it...Ch. 18 - A large cylindrical tank contains 0.750 m3 of...Ch. 18 - An empty cylindrical canister 1.50 m long and 90.0...Ch. 18 - The gas inside a balloon will always have a...Ch. 18 - An ideal gas has a density of 1.33 106 g/cm3 at...Ch. 18 - If a certain amount of ideal gas occupies a volume...Ch. 18 - A diver observes a bubble of air rising from the...Ch. 18 - A metal tank with volume 3.10 L will burst if the...Ch. 18 - Three moles of an ideal gas are in a rigid cubical...Ch. 18 - With the assumptions of Example 18.4 (Section...Ch. 18 - With the assumption that the air temperature is a...Ch. 18 - (a) Calculate the mass of nitrogen present in a...Ch. 18 - At an altitude of 11,000 m (a typical cruising...Ch. 18 - Prob. 18.21ECh. 18 - Prob. 18.22ECh. 18 - Modern vacuum pumps make it easy to attain...Ch. 18 - The Lagoon Nebula (Fig. E18.24) is a cloud of...Ch. 18 - In a gas at standard conditions, what is the...Ch. 18 - How Close Together Are Gas Molecules? Consider an...Ch. 18 - (a) What is the total translational kinetic energy...Ch. 18 - A flask contains a mixture of neon (Ne), krypton...Ch. 18 - We have two equal-size boxes, A and B. Each box...Ch. 18 - A container with volume 1.64 L is initially...Ch. 18 - Prob. 18.31ECh. 18 - Martian Climate. The atmosphere of Mars is mostly...Ch. 18 - Prob. 18.33ECh. 18 - Calculate the mean free path of air molecules at...Ch. 18 - At what temperature is the root-mean-square speed...Ch. 18 - Prob. 18.36ECh. 18 - Prob. 18.37ECh. 18 - Perfectly rigid containers each hold n moles of...Ch. 18 - (a) Compute the specific heat at constant volume...Ch. 18 - Prob. 18.40ECh. 18 - Prob. 18.41ECh. 18 - For a gas of nitrogen molecules (N2), what must...Ch. 18 - Prob. 18.43ECh. 18 - Meteorology. The vapor pressure is the pressure of...Ch. 18 - Calculate the volume of 1.00 mol of liquid water...Ch. 18 - A physics lecture room at 1.00 atm and 27.0C has a...Ch. 18 - CP BIO The Effect of Altitude on the Lungs. (a)...Ch. 18 - CP BIO The Bends. If deep-sea divers rise to the...Ch. 18 - CP A hot-air balloon stays aloft because hot air...Ch. 18 - In an evacuated enclosure, a vertical cylindrical...Ch. 18 - A cylinder 1.00 m tall with inside diameter 0.120...Ch. 18 - CP During a test dive in 1939, prior to being...Ch. 18 - Atmosphere or Titan. Titan, the largest satellite...Ch. 18 - Pressure on Venus. At the surface of Venus the...Ch. 18 - An automobile tire has a volume of 0.0150 m3 on a...Ch. 18 - A flask with a volume of 1.50 L, provided with a...Ch. 18 - CP A balloon of volume 750 m3 is to be filled with...Ch. 18 - A vertical cylindrical tank contains 1.80 mol of...Ch. 18 - CP A large tank of water has a hose connected to...Ch. 18 - CP A light, plastic sphere with mass m = 9.00 g...Ch. 18 - Prob. 18.61PCh. 18 - BIO A person at rest inhales 0.50 L of air with...Ch. 18 - You have two identical containers, one containing...Ch. 18 - The size of an oxygen molecule is about 2.0 1010...Ch. 18 - A sealed box contains a monatomic ideal gas. The...Ch. 18 - Helium gas is in a cylinder that has rigid walls....Ch. 18 - You blow up a spherical balloon to a diameter of...Ch. 18 - CP (a) Compute the increase in gravitational...Ch. 18 - Prob. 18.69PCh. 18 - Prob. 18.70PCh. 18 - It is possible to make crystalline solids that are...Ch. 18 - Hydrogen on the Sun. The surface of the sun has a...Ch. 18 - Prob. 18.73PCh. 18 - Planetary Atmospheres. (a) The temperature near...Ch. 18 - Prob. 18.75PCh. 18 - Prob. 18.76PCh. 18 - CALC (a) Explain why in a gas of N molecules, the...Ch. 18 - Prob. 18.78PCh. 18 - CP Oscillations of a Piston. A vertical cylinder...Ch. 18 - Prob. 18.80PCh. 18 - DATA The Dew Point and Clouds. The vapor pressure...Ch. 18 - DATA The statistical quantities average value and...Ch. 18 - CP Dark Nebulae and the Interstellar Medium. The...Ch. 18 - CALC Earths Atmosphere. In t he troposphere, the...Ch. 18 - Prob. 18.85PPCh. 18 - Estimate the ratio of the thermal conductivity of...Ch. 18 - The rate of effusionthat is, leakage of a gas...
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