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 18.23DQ
To determine
Whether all ideal monatomic gases takes the same amount of heat to raises the temperature of
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Under constant pressure, the temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K. What are (a) the work W done by the gas, (b) the energy transferred as heat Q, (c) the change Eint in the internal energy of the gas, and (d) the change K in the average kinetic energy per atom?
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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- What is the internal energy of 6.00 mol of an ideal monatomic gas at 200 ?arrow_forwardAn ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?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_forward
- An aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P21.65). 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.arrow_forwardAn ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?arrow_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_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.arrow_forwardThe temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K in an adiabatic process.What are (a) the work W done by the gas, (b) the energy transferred as heat Q, (c) the change Eint in internal energy of the gas, and (d) the change K in the average kinetic energy per atomarrow_forward
- Suppose 4.00 mol of an ideal diatomic gas, with molecular rotation but not oscillation, experienced a temperature increase of 60.0 K under constant-pressure conditions. What are (a) the energy transferred as heat Q, (b) the change Eint in internal energy of the gas, (c) the work W done by the gas, and (d) the change K in the total translational kinetic energy of the gas?arrow_forwardA monatomic gas is cooled by 50 K at constant volume when 831 J of energy is removed from it. How many moles of gas are in the sample?arrow_forward
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