Chemistry
12th Edition
ISBN: 9780078021510
Author: Raymond Chang Dr., Kenneth Goldsby Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 5, Problem 5.160QP
One way to gain a physical understanding of b in the van der Waals equation is to calculate the “excluded volume.” Assume that the distance of closest approach between two similar atoms is the sum of their radii (2r). (a) Calculate the volume around each atom into which the center of another atom cannot penetrate. (b) From your result in (a), calculate the excluded volume for 1 mole of the atoms, which is the constant b. How does this volume compare with the sum of the volumes of 1 mole of the atoms?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A flask contains a mixture of neon (Ne), krypton (Kr), and radon (Rn) gases. Compare (a) the average kinetic energies of the three types of atoms and (b) the root-mean-square speeds. (Hint: Appendix D shows the molar mass (in g>mol) of each element under the chemical symbol for that element.)
3. One way to state Boyle’s law is “All other things being equal, the pressure of a gas is inversely proportional to its volume.”
(a) What is the meaning of the term “inversely proportional?”
(b) What are the “other things” that must be equal?
Describe in your own words the Kinetic Molecular Theory of gases. The Kinetic Molecular Theory of gases tells us that the energy content of any gas is related only to its temperature. It also tells us that it is possible to compute the "RMS" (root mean squared) velocity of any gas molecule if you know its formula weight and its temperature. Using this information describe how you might compute the RMS velocity of sulfur dioxide (SO2) in the atmosphere of the planet Venus (T = 820 F), the RMS velocity of oxygen (O2) in the atmosphere of Earth (T = 50 F), or the RMS velocity of carbon dioxide (CO2) in the atmosphere of Mars (T = - 80 F).
Chapter 5 Solutions
Chemistry
Ch. 5.2 - Prob. 1PECh. 5.2 - Prob. 2PECh. 5.2 - Rank the following pressures from lowest to...Ch. 5.2 - Prob. 2RCCh. 5.3 - Prob. 1RCCh. 5.4 - Calculate the volume (in liters) occupied by 2.12...Ch. 5.4 - Prob. 4PECh. 5.4 - Prob. 1RCCh. 5.4 - A sample of chlorine gas occupies a volume of 946...Ch. 5.4 - Prob. 6PE
Ch. 5.4 - A gas initially at 4.0 L, 1.2 atm, and 66C...Ch. 5.4 - What is the density (in g/L) of uranium...Ch. 5.4 - Prob. 9PECh. 5.4 - Prob. 10PECh. 5.5 - Prob. 11PECh. 5.5 - The equation for the metabolic breakdown of...Ch. 5.5 - Prob. 13PECh. 5.5 - Prob. 1RCCh. 5.6 - Prob. 14PECh. 5.6 - Prob. 15PECh. 5.6 - Prob. 1RCCh. 5.7 - Prob. 16PECh. 5.7 - Prob. 17PECh. 5.7 - Prob. 1RCCh. 5.8 - Using the data shown in Table 5.4, calculate the...Ch. 5.8 - Prob. 1RCCh. 5 - Prob. 5.1QPCh. 5 - Prob. 5.2QPCh. 5 - Prob. 5.3QPCh. 5 - Prob. 5.4QPCh. 5 - Prob. 5.5QPCh. 5 - Prob. 5.6QPCh. 5 - Prob. 5.7QPCh. 5 - Prob. 5.8QPCh. 5 - Prob. 5.9QPCh. 5 - Prob. 5.10QPCh. 5 - Prob. 5.11QPCh. 5 - Prob. 5.12QPCh. 5 - Convert 562 mmHg to atm.Ch. 5 - Prob. 5.14QPCh. 5 - Prob. 5.15QPCh. 5 - A gaseous sample of a substance is cooled at...Ch. 5 - Consider the following gaseous sample in a...Ch. 5 - Prob. 5.19QPCh. 5 - Prob. 5.20QPCh. 5 - Prob. 5.21QPCh. 5 - A sample of air occupies 3.8 L when the pressure...Ch. 5 - Prob. 5.23QPCh. 5 - Under constant-pressure conditions a sample of...Ch. 5 - Ammonia burns in oxygen gas to form nitric oxide...Ch. 5 - Molecular chlorine and molecular fluorine combine...Ch. 5 - Prob. 5.27QPCh. 5 - Prob. 5.28QPCh. 5 - Prob. 5.29QPCh. 5 - Prob. 5.30QPCh. 5 - Prob. 5.31QPCh. 5 - Given that 6.9 moles of carbon monoxide gas are...Ch. 5 - What volume will 5.6 moles of sulfur hexafluoride...Ch. 5 - Prob. 5.34QPCh. 5 - Prob. 5.35QPCh. 5 - Prob. 5.36QPCh. 5 - Prob. 5.37QPCh. 5 - Prob. 5.38QPCh. 5 - An ideal gas originally at 0.85 atm and 66C was...Ch. 5 - Prob. 5.40QPCh. 5 - Prob. 5.41QPCh. 5 - Dry ice is solid carbon dioxide. A 0.050-g sample...Ch. 5 - Prob. 5.43QPCh. 5 - At 741 torr and 44C, 7.10 g of a gas occupy a...Ch. 5 - Ozone molecules in the stratosphere absorb much of...Ch. 5 - Prob. 5.46QPCh. 5 - A 2.10-L vessel contains 4.65 g of a gas at 1.00...Ch. 5 - Calculate the density of hydrogen bromide (HBr)...Ch. 5 - A certain anesthetic contains 64.9 percent C, 13.5...Ch. 5 - A compound has the empirical formula SF4. At 20C,...Ch. 5 - Prob. 5.51QPCh. 5 - The density of a mixture of fluorine and chlorine...Ch. 5 - Consider the formation of nitrogen dioxide from...Ch. 5 - Methane, the principal component of natural gas,...Ch. 5 - When coal is burned, the sulfur present in coal is...Ch. 5 - In alcohol fermentation, yeast converts glucose to...Ch. 5 - Prob. 5.57QPCh. 5 - A quantity of 0.225 g of a metal M (molar mass =...Ch. 5 - What is the mass of the solid NH4Cl formed when...Ch. 5 - Prob. 5.60QPCh. 5 - Prob. 5.61QPCh. 5 - Ethanol (C2H5OH) burns in air:...Ch. 5 - (a) What volumes (in liters) of ammonia and oxygen...Ch. 5 - Prob. 5.64QPCh. 5 - Prob. 5.65QPCh. 5 - A sample of air contains only nitrogen and oxygen...Ch. 5 - A mixture of gases contains 0.31 mol CH4, 0.25 mol...Ch. 5 - A 2.5-L flask at 15C contains a mixture of N2, He,...Ch. 5 - Dry air near sea level has the following...Ch. 5 - Prob. 5.70QPCh. 5 - Prob. 5.71QPCh. 5 - A sample of zinc metal reacts completely with an...Ch. 5 - Prob. 5.73QPCh. 5 - A sample of ammonia (NH3) gas is completely...Ch. 5 - Prob. 5.75QPCh. 5 - The volume of the box on the right is twice that...Ch. 5 - Prob. 5.78QPCh. 5 - Prob. 5.79QPCh. 5 - Prob. 5.80QPCh. 5 - Compare the root-mean-square speeds of O2 and UF6...Ch. 5 - Prob. 5.82QPCh. 5 - The average distance traveled by a molecule...Ch. 5 - At a certain temperature the speeds of six gaseous...Ch. 5 - Prob. 5.85QPCh. 5 - The 235U isotope undergoes fission when bombarded...Ch. 5 - Prob. 5.87QPCh. 5 - Prob. 5.88QPCh. 5 - Prob. 5.90QPCh. 5 - (a) A real gas is introduced into a flask of...Ch. 5 - Using the data shown in Table 5.4, calculate the...Ch. 5 - Prob. 5.94QPCh. 5 - Prob. 5.95QPCh. 5 - Prob. 5.96QPCh. 5 - Prob. 5.97QPCh. 5 - Prob. 5.98QPCh. 5 - When ammonium nitrite (NH4NO2) is heated, it...Ch. 5 - The percent by mass of bicarbonate (HCO3) in a...Ch. 5 - Prob. 5.101QPCh. 5 - Prob. 5.102QPCh. 5 - Prob. 5.103QPCh. 5 - A healthy adult exhales about 5.0 102 mL of a...Ch. 5 - Prob. 5.105QPCh. 5 - Prob. 5.106QPCh. 5 - Some commercial drain cleaners contain a mixture...Ch. 5 - The volume of a sample of pure HCl gas was 189 mL...Ch. 5 - Prob. 5.109QPCh. 5 - Prob. 5.110QPCh. 5 - Prob. 5.111QPCh. 5 - Prob. 5.112QPCh. 5 - Prob. 5.113QPCh. 5 - Prob. 5.114QPCh. 5 - Prob. 5.115QPCh. 5 - Prob. 5.116QPCh. 5 - Prob. 5.117QPCh. 5 - Commercially, compressed oxygen is sold in metal...Ch. 5 - Prob. 5.119QPCh. 5 - Prob. 5.120QPCh. 5 - Prob. 5.121QPCh. 5 - Prob. 5.122QPCh. 5 - Prob. 5.123QPCh. 5 - Prob. 5.124QPCh. 5 - Prob. 5.125QPCh. 5 - Prob. 5.126QPCh. 5 - Prob. 5.127QPCh. 5 - Prob. 5.128QPCh. 5 - Acidic oxides such as carbon dioxide react with...Ch. 5 - Prob. 5.130QPCh. 5 - Prob. 5.131QPCh. 5 - Prob. 5.132QPCh. 5 - Atop Mt. Everest, the atmospheric pressure is 210...Ch. 5 - Prob. 5.134QPCh. 5 - Prob. 5.135QPCh. 5 - Prob. 5.136QPCh. 5 - Prob. 5.137QPCh. 5 - Prob. 5.138QPCh. 5 - Prob. 5.139QPCh. 5 - Prob. 5.140QPCh. 5 - Prob. 5.141QPCh. 5 - Prob. 5.142QPCh. 5 - Prob. 5.143QPCh. 5 - Prob. 5.144QPCh. 5 - Prob. 5.145QPCh. 5 - At what temperature will He atoms have the same...Ch. 5 - Prob. 5.148QPCh. 5 - Prob. 5.149QPCh. 5 - Prob. 5.150QPCh. 5 - Prob. 5.151QPCh. 5 - Prob. 5.152QPCh. 5 - Prob. 5.153QPCh. 5 - A 6.11-g sample of a Cu-Zn alloy reacts with HCl...Ch. 5 - Prob. 5.155QPCh. 5 - Prob. 5.156QPCh. 5 - Prob. 5.157QPCh. 5 - A mixture of methane (CH4) and ethane (C2H6) is...Ch. 5 - Prob. 5.159QPCh. 5 - One way to gain a physical understanding of b in...Ch. 5 - Use the van der Waals constants in Table 5.4. to...Ch. 5 - Prob. 5.162QPCh. 5 - Prob. 5.163QPCh. 5 - Prob. 5.164QPCh. 5 - Referring to Figure 5.17, we see that the maximum...Ch. 5 - Prob. 5.166QPCh. 5 - A gaseous hydrocarbon (containing C and H atoms)...Ch. 5 - Three flasks (a)(c) contain gases A (red) and B...Ch. 5 - Prob. 5.169QPCh. 5 - Prob. 5.170QPCh. 5 - In 2012, Felix Baumgartner jumped from a balloon...Ch. 5 - Prob. 5.172IMECh. 5 - A flask with a volume of 14.5 L contains 1.25...Ch. 5 - Prob. 5.174IMECh. 5 - Prob. 5.175IMECh. 5 - Prob. 5.176IMECh. 5 - Prob. 5.177IME
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- A sample of a smoke stack emission was collected into a 1.25-L tank at 752 mm Hg and analyzed. The analysis showed 92% CO2, 3.6% NO, 1.2% SO2, and 4.1% H2O by mass. What is the partial pressure exerted by each gas?arrow_forwardIf the rms speed of He atoms in the exosphere (highest region of the atmosphere) is 3.53 103 m/s, what is the temperature (in kelvins)?arrow_forwardQ6. (a)The vander waals equation is used to describe the behaviour of real gases but still not so useful in many industrial applications. Explain why?(3) (b)In kinetic molecular theory of gases it is assumed that The molecules of the gases occupy negligible volume as compared to the total volume of the gas' which factor can be actually described by this postulate?(2)arrow_forward
- the heavy gas particles took twice as long to diffuse as the light gas particles. This means that the light as particles are moving twice as fast, VH/VL= ½. Therefore, VH2/VL2= ¼. How many times heavier is the heavy gas compared to the light gas?arrow_forwardIf a liter of argon gas (Ar) is compared to a liter of neon gas (Ne), both at 75°C and two atmospheres of pressure, then: The Ne atoms are on the average moving more slowly than the Ar atoms. The average kinetic energy of the Ar atoms is greater than that of the Ne atoms. O The mass of one liter of Ar equals the mass of one liter of Ne. There are equal numbers of Ar and Ne atoms. The Ar and Ne atoms have the same average speed.arrow_forward1.44. The van der Waals constant b can be used to estimate molecular sizes, assuming the molecules are shaped like spheres: 1. Convert b to units of m³/mol, using the fact that 1 m³ = 1000 L. 2. Divide by Avogadro's number to get the individual molecular contribution to b. 3. Use V = 4/3 πr³ to estimate the radius of the molecule. Using these steps, estimate the sizes of (a) He (b) H₂O (c) C₂H6-arrow_forward
- (5) Using the data in Table 1C.3 (from the textbook), calculate the pressure that 2.500 moles of carbon dioxide confined in a volume of 1.000 L at 450 K exerts. Compare the pressure with that calculated assuming ideal-gas behavior.arrow_forward1.3 mole of helium gas at a temperature of 276 K is confined to a cubical container whose sides are 12 cm long.Find the mean summed kinetic energy of ALL the atoms in the container in [J].arrow_forwardCharles' law gives us the biggest clue as to how hot air balloons function, but other factors influence lifting power of balloons in different contexts such as using helium in birthday balloons. Remember from first semester that density is equal to mass divided by volume. In balloons of identical volume, which of the following gases would you expect to have the greatest lifting power? (He (Ne) hydrogen Ar oxygen nitrogen hydrogen fluoride Kr (Xearrow_forward
- In 1897 the Swedish explorer Andree tried to reach the North Pole in a balloon. The balloon was filled with hydrogen gas. The hydrogen gas was prepared from iron splints and diluted sulfuric acid. The reaction is Fe(a) + H,S0, (ag) + PeSO(og) + H;(s) The volume of the balloon was 4800 m and the loss of hydrogen gas during filling was estimated at 20% What mass of iron splints and 98 (by mas) H,S0, were nooded to enre the complete filling of the balloon? Assume a temperature of oC, a presaure of 10 atm during filling nd 100 yield. Mass of Fe Mass of HaS0, -arrow_forwardA mixture of CO₂ and Kr weighs 29.6 g and exerts a pressure of 0.895 atm in its container. Since Kr is expensive, you wish to recover it from the mixture. After the CO₂ is completely removed by absorption with NaOH(s), the pressure in the container is 0.295 atm. (a) How many grams of CO₂ were originally present? (b) How many grams of Kr can you recover? (a) grams CO₂: g (b) grams Kr:arrow_forward7. You are given two samples of gas at identical P, T, and V, all near room temperature. Gas A is monatomic and gas B is diatomic. Both gas A and gas B have the same molar mass. (a) In which gas do the particles have a greater speed? (b) In which gas do the particles have more kinetic energy? (c) The temperature of each gas is increased by 8. The particles in which gas now have a greater average speed? A greater change in internal energy?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage Learning
- Chemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
General Chemistry - Standalone book (MindTap Cour...
Chemistry
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Cengage Learning
Chemistry for Engineering Students
Chemistry
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Cengage Learning
DISTINCTION BETWEEN ADSORPTION AND ABSORPTION; Author: 7activestudio;https://www.youtube.com/watch?v=vbWRuSk-BhE;License: Standard YouTube License, CC-BY
Difference Between Absorption and Adsorption - Surface Chemistry - Chemistry Class 11; Author: Ekeeda;https://www.youtube.com/watch?v=e7Ql2ZElgc0;License: Standard Youtube License