University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 3, Problem 67P
A monatomic ideal gas undergoes a quasi-static adiabatic expansion in which its volume is doubled. How is the pressure of the gas changed?
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Chapter 3 Solutions
University Physics Volume 2
Ch. 3 - The paths ABC, AC, and ADC represent three...Ch. 3 - Check Your Understanding The quantities below...Ch. 3 - Check Your Understanding Why was it necessary to...Ch. 3 - Check Your Understanding When 1.00 g of ammonia...Ch. 3 - Consider these scenarios and state whether work is...Ch. 3 - Is it possible to determine whether a change in...Ch. 3 - When a liquid is vaporized, its change in internal...Ch. 3 - Why does a bicycle pump feel warm as you inflate...Ch. 3 - Is it possible for the temperature of a system to...Ch. 3 - What does the first law of thermodynamics tell us...
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One notable...Ch. 3 - Why are there two specific heats for gases Cp and...Ch. 3 - Is it possible for to be smaller than unity? `Ch. 3 - Would you expect to be larger for a gas or a...Ch. 3 - There is no change in the internal of an ideal gas...Ch. 3 - Does a gas do any work when it expands...Ch. 3 - A gas follows on an isothermal curve, where p is...Ch. 3 - A mole of gas has isobaric expansion coefficient...Ch. 3 - Find the equation of state of a solid that has an...Ch. 3 - A gas at a pressure of 2.00 atm undergoes a...Ch. 3 - It takes 500 J of work to compress...Ch. 3 - It is found that, when a dilute gas expands...Ch. 3 - In a quasi-static isobaric expansion. 500 J of...Ch. 3 - When a gas undergoes a quasi-static isobaric...Ch. 3 - An ideal gas expands quasi-statically and...Ch. 3 - As shown below, calculate the work done by the gas...Ch. 3 - (a) Calculate the work done by the gas along the...Ch. 3 - An ideal gas expands quasi-statically to three...Ch. 3 - A dilute gas at a pressure of 2.0 atm and a volume...Ch. 3 - What is the average mechanical energy of the atoms...Ch. 3 - What is the internal energy of 6.00 mol of an...Ch. 3 - Calculate the internal energy of 15 mg of helium...Ch. 3 - Two monatomic ideal gases A and B are at the same...Ch. 3 - The van der Waals coefficients for oxygen are...Ch. 3 - Find the work done in the quasi-static processes...Ch. 3 - When a dilute gas expands quasi-statically from...Ch. 3 - In a quasi-static isobaric expansion, 500 J of...Ch. 3 - An ideal gas quasi-statically and isothermally...Ch. 3 - As shown below, if the heat absorbed by the gas...Ch. 3 - During the isobaric expansion from A to B...Ch. 3 - (a) What is the change in internal energy for the...Ch. 3 - When a gas expands along path AC shown below, it...Ch. 3 - When a gas expands along AB (see below), it does...Ch. 3 - A dilute gas is stored in the left chamber of a...Ch. 3 - Ideal gases A and B are stored in the left and...Ch. 3 - An ideal monatomic gas at a pressure of 2.0105N/m2...Ch. 3 - Consider the process for steam in a cylinder shown...Ch. 3 - The state of 30 moles of steam in a cylinder is...Ch. 3 - A monatomic ideal gas undergoes a quasi-static...Ch. 3 - A metallic container of fixed volume of 2.5103 m3...Ch. 3 - A gas in a cylindrical closed container is...Ch. 3 - Two moles of a monatomic ideal gas at (5 MPa, 5 L)...Ch. 3 - Consider a transformation from point A to B in a...Ch. 3 - Consider a cylinder with a movable piston...Ch. 3 - An ideal gas expands isothermally along AB and...Ch. 3 - Consider the processes shown below. In the...Ch. 3 - Two moles of helium gas axe placed in a...Ch. 3 - An amount of n moles of a monatomic ideal gas in a...Ch. 3 - The temperature of an ideal monatomic gas rises by...Ch. 3 - For a temperature increase of 10 at constant...Ch. 3 - If the gases of the preceding problem are...Ch. 3 - Consider 0.40 mol of dilute carbon dioxide at a...Ch. 3 - When 400 J of heat are slowly added to 10 mol of...Ch. 3 - One of a dilute diatomic gas occupying a volume of...Ch. 3 - A monatomic ideal gas undergoes a quasi-static...Ch. 3 - An ideal gas has a pressure of 0.50 atm and a...Ch. 3 - Pressure and volume measurements of a dilute gas...Ch. 3 - An ideal monatomic gas at 300 K expands...Ch. 3 - An ideal diatomic gas at 80 K is slowly compressed...Ch. 3 - An ideal diatomic gas at 80 K is slowly compressed...Ch. 3 - Compare the charge in internal energy of an ideal...Ch. 3 - The temperature of n moles of an ideal gas changes...Ch. 3 - A dilute gas expands quasi-statically to three...Ch. 3 - (a) An ideal gas expands adiabatically from a...Ch. 3 - On an adiabatic process of an ideal gas pressure,...Ch. 3 - Two moles of a monatomic ideal gas such as helium...Ch. 3 - Consider the process shown below. During steps AB...Ch. 3 - A car tile contains 0.0380 m3 of air at a pressure...Ch. 3 - A helium-filled toy balloon has a gauge pressure...Ch. 3 - Steam to drive an old-fashioned steam locomotive...Ch. 3 - A hand-driven tire pump has a piston with a...Ch. 3 - Calculate the net work output of a heat engine...Ch. 3 - What is the net work output of a heat engine that...Ch. 3 - Five moles of a monatomic ideal gas in a cylinder...Ch. 3 - Four moles of a monatomic ideal gas in a cylinder...Ch. 3 - Helium gas is cooled from 20 to 10 by expanding...Ch. 3 - In an adiabatic process, oxygen gas in a container...Ch. 3 - A cylinder containing three moles of a monatomic...Ch. 3 - A cylinder containing three moles of nitrogen gas...Ch. 3 - Two moles of a monatomic ideal gas such as oxygen...Ch. 3 - An insulated vessel contains 1.5 moles of argon at...Ch. 3 - One mole of an ideal monatomic gas occupies a...Ch. 3 - One mole of an ideal gas is initially in a chamber...Ch. 3 - A bullet of mass 10 g is traveling horizontally at...Ch. 3 - The insulated cylinder shown below is closed at...Ch. 3 - In a diesel engine, the fuel is ignited without a...
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- One mole of an ideal gas does 3 000 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 25.0 L. Determine (a) the initial volume and (b) the temperature of the gas.arrow_forwardPressure and volume measurements of a dilute gas undergoing a quasi-static adiabatic expansion are shown below. Plot In p vs. V and determine 7 for this gas from your graph.arrow_forwardA gas in a cylindrical closed container is adiabatically and quasi-statically expanded from a state A (3 MPa, 2 L) to a state B with volume of 6 L along the path 1.8pV= constant. (a) Plot the path in the pV plane. (b) Find the amount of work done by the gas and the change in the internal energy of the gas during the process.arrow_forward
- If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases. (d) The internal energy of the gas remains constant. (e) None of those statements is true.arrow_forwardWhen 400 J of heat are slowly added to 10 mol of an ideal monatomic gas, its temperature rises by 10 . What is the work done on the gas?arrow_forwardWhen a gas undergoes an adiabatic expansion, which of the following statements is true? (a) The temperature of the gas does not change. (b) No work is done by the gas. (c) No energy is transferred to the gas by heat. (d) The internal energy of the gas does not change. (e) The pressure increases.arrow_forward
- Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas, but container B has twice the volume of container A. (i) What is the average translational kinetic energy per molecule in container B? (a) twice that of container A (b) the same as that of container A (c) half that of container A (d) impossible to determine (ii) From the same choices, describe the internal energy of the gas in container B.arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68arrow_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_forward
- If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases, (d) The internal energy of the gas remains constant, (e) None of those statements is true.arrow_forwardConsider 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_forwardOn an adiabatic process of an ideal gas pressure, volume and temperature change such that pV is constant with =5/3 for monatomic gas such as helium and =7/5 for diatomic gas such as hydrogen at room temperature. Use numerical values to plot two isotherms of 1 mol of helium gas using ideal gas law and two adiabatic processes mediating between them. Use T1=500K,V1=1L, and T2=300K for your plot.arrow_forward
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