University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 18, Problem 18.66P
Helium gas is in a cylinder that has rigid walls. If the pressure of the gas is 2.00 atm. then the root-mean-square speed of the helium atoms is υrms = 176 m/s. By how much (in atmospheres) must the pressure be increased to increase the υrms of the He atoms by 100 m/s? Ignore any change in the volume of the cylinder.
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A sealed container contains a fixed volume of a monatomic ideal gas. If the gas temperature is increased by a factor of two, what is ratio of the final to the initial pressure, average molecular kinetic energy, root-mean-square speed, and internal energy?
Chapter 18 Solutions
University Physics (14th Edition)
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. Q18.13DQCh. 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 - A gas storage tank has a small leak. The pressure...Ch. 18 - Consider two specimens of ideal gas at the same...Ch. 18 - The temperature of an ideal monatomic gas is...Ch. 18 - Prob. Q18.21DQCh. 18 - (a) If you apply the same amount of heat to 1.00...Ch. 18 - Prob. Q18.23DQCh. 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. Q18.26DQCh. 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 - DATA A steel cylinder with rigid walls is evacuate...Ch. 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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- 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_forwardOne cylinder contains helium gas and another contains krypton gas at the same temperature. Mark each of these statements true, false, or impossible to determine from the given information. (a) The rms speeds of atoms in the two gases are the same. (b) The average kinetic energies of atoms in the two gases are the same. (c) The internal energies of 1 mole of gas in each cylinder are the same. (d) The pressures in the two cylinders ale the same.arrow_forwardA gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forward
- Consider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANSarrow_forward(a) How many atoms of helium gas fill a spherical balloon of diameter 30.0 cm at 20.0C and 1.00 atm? (b) What is the average kinetic energy of the helium atoms? (c) What is the rms speed of the helium atoms?arrow_forwardA metallic container of fixed volume of 2.5103 m3 immersed in a large tank of temperature 27 contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.arrow_forward
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