College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 10, Problem 56AP
To determine
The expression for mass of the gas remaining.
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College Physics
Ch. 10.1 - Prob. 10.1QQCh. 10.3 - If you quickly plunge a room-temperature mercury...Ch. 10.3 - If you are asked to make a very sensitive glass...Ch. 10.3 - Two spheres are made of the same metal and have...Ch. 10.3 - Prob. 10.5QQCh. 10.5 - Prob. 10.6QQCh. 10 - Prob. 1WUECh. 10 - Prob. 2WUECh. 10 - Prob. 3WUECh. 10 - An electrician is wiring new electrical outlets in...
Ch. 10 - Prob. 5WUECh. 10 - A cylinder of volume 50.0 cm3 made of Pyrex glass...Ch. 10 - One way to cool a gas is to let it expand. When a...Ch. 10 - A container holds 0.500 m3 of oxygen at an...Ch. 10 - Suppose 26.0 g of neon gas are stored in a tank at...Ch. 10 - Prob. 10WUECh. 10 - (a) Why does an ordinary glass dish usually break...Ch. 10 - Some thermometers are made of a mercury column in...Ch. 10 - Prob. 4CQCh. 10 - Objects deep beneath the surface of the ocean are...Ch. 10 - Why do vapor bubbles in a pot of boiling water get...Ch. 10 - Markings to indicate length are placed on a steel...Ch. 10 - Metal lids on glass jars can often be loosened by...Ch. 10 - Suppose the volume of an ideal gas is doubled...Ch. 10 - An automobile radiator is filled to the brim with...Ch. 10 - When the metal ring and metal sphere in Figure...Ch. 10 - Prob. 1PCh. 10 - The pressure in a constant-volume gas thermometer...Ch. 10 - Prob. 3PCh. 10 - Death Valley holds the record for the highest...Ch. 10 - Show that the temperature 40 is unique in that it...Ch. 10 - Prob. 6PCh. 10 - Show that if the temperature on the Celsius scale...Ch. 10 - The temperature difference between the inside and...Ch. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - A grandfather clock is controlled by a swinging...Ch. 10 - A pair of eyeglass frames are made of epoxy...Ch. 10 - A spherical steel ball bearing has a diameter of...Ch. 10 - A brass ring of diameter 10.00 cm at 20.0C is...Ch. 10 - Prob. 16PCh. 10 - Lead has a density of 11.3 103 kg/m3 at 0C. (a)...Ch. 10 - The Golden Gate Bridge in San Francisco has a main...Ch. 10 - An underground gasoline tank can hold 1.00 103...Ch. 10 - Show that the coefficient of volume expansion, ,...Ch. 10 - A hollow aluminum cylinder 20.0 cm deep has an...Ch. 10 - A construction worker uses a steel tape to measure...Ch. 10 - The hand in Figure P10.23 is stainless steel...Ch. 10 - The Trans-Alaskan pipeline is 1 300 km long,...Ch. 10 - The average coefficient of volume expansion for...Ch. 10 - The density or gasoline is 7.30 102 kg/m3 at 0C....Ch. 10 - Figure P10.27 shows a circular steel casting with...Ch. 10 - The concrete sections of a certain superhighway...Ch. 10 - Prob. 29PCh. 10 - A 20.0-L tank of carbon dioxide gas (CO2) is at a...Ch. 10 - (a) An ideal gas occupies a volume of 1.0 cm3 at...Ch. 10 - An automobile tire is inflated with air originally...Ch. 10 - Prob. 33PCh. 10 - Gas is contained in an 8.00-L vessel at a...Ch. 10 - Prob. 35PCh. 10 - The density of helium gas at 0C is 0 = 0.179...Ch. 10 - An air bubble has a volume of 1.50 cm3 when it is...Ch. 10 - The ideal gas law can be recast in terms of the...Ch. 10 - What is the average kinetic energy of a molecule...Ch. 10 - A sealed cubical container 20.0 cm on a side...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - A 7.00-L vessel contains 3.50 moles of ideal gas...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Inside the wall of a house, an L-shaped section of...Ch. 10 - The active element of a certain laser is made of a...Ch. 10 - A popular brand of cola contains 6.50 g of carbon...Ch. 10 - Prob. 50APCh. 10 - Prob. 51APCh. 10 - A 1.5-m-long glass tube that is closed at one end...Ch. 10 - Prob. 53APCh. 10 - A vertical cylinder of cross-sectional area A is...Ch. 10 - Prob. 55APCh. 10 - Prob. 56APCh. 10 - A liquid with a coefficient of volume expansion of...Ch. 10 - Before beginning a long trip on a hot day, a...Ch. 10 - Two concrete spans of a 250-m-long bridge are...Ch. 10 - An expandable cylinder has its top connected to a...Ch. 10 - A bimetallic strip of length L is made of two...Ch. 10 - A 250-m-long bridge is improperly designed so that...Ch. 10 - Prob. 63APCh. 10 - Two small containers, each with a volume of 1.00 ...
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- An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?arrow_forwardCylinder 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_forward(a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.arrow_forward
- A sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).arrow_forwardOn a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?arrow_forwardIn the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?arrow_forward
- Consider a gas filling two connected chambers that are separated by a removable barrier (Fig. P20.68). The gas molecules on the left (red) are initially at a higher temperature than the ones on the right (blue). When the barrier between the two chambers is removed, the molecules begin to mix and move from one chamber to the other. a. Describe what happens to the temperature in the left chamber and in the right chamber as time goes on, once the barrier is open. Discuss in terms of the mixing of the molecules from each gas. b. Describe what happens to the most probable speed and average speed in the left chamber and in the right chamber as time goes on, once the barrier is open. Do they increase or decrease by the same factor? Explain. FIGURE P20.68 Problems 68 and 69.arrow_forwardWhich of the assumptions below is not made in the kinetic theory of gases? (a) The number of molecules is very large. (b) The molecules obey Newtons laws of motion. (c) The forces between molecules are long range. (d) The gas is a pure substance. (e) The average separation between molecules is large compared to their dimensions. (f) of (his account are correct statements necessary for a clear and complete explanation? (ii) Which are correct statements that are not necessary to account for the higher thermometer reading? (iii) Which are incorrect statements?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_forward
- One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `arrow_forwardTwo cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.arrow_forward
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