Chemistry: Atoms First
3rd Edition
ISBN: 9781259638138
Author: Julia Burdge, Jason Overby Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 3.69QP
Alveoli are tiny sacs of air in the lungs. Their average diameter is 5.0 × 10−5 m. Calculate the uncertainty in the velocity of ail oxygen molecule (5.3 × 10−26 kg) trapped within a sac. (Hint: The maximum uncertainty in the position of the molecule is given by the diameter of the sac.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Alveoli are tiny sacs of air in the lungs. Their average diameter is 5.0 × 10-5 m. Calculate the uncertainty in the velocity of an oxygen molecule (5.3 × 10-26 kg) trapped within a sac. (Hint: The maximum uncertainty in the position of the molecule is given by the diameter of the sac.)
6.50 Alveoli are tiny sacs of air in the lungs. Their averagediameter is 5.0 × 10−5
m. Calculate the uncertainty inthe velocity of an oxygen molecule (5.3 × 10−26 kg)trapped within a sac. (Hint: The maximum uncertaintyin the position of the molecule is given by the diameterof the sac.)
What is the minimum uncertainty in a helium atom's velocity (Δ?min)(Δvmin) if the position is known within 1.1 Å.
Chapter 3 Solutions
Chemistry: Atoms First
Ch. 3.1 - Calculate the kinetic energy of a helium atom...Ch. 3.1 - Calculate the energy in joules of a 5.25-g object...Ch. 3.1 - Prob. 1PPBCh. 3.1 - Prob. 1PPCCh. 3.1 - Prob. 3.2WECh. 3.1 - How much greater is the electrostatic potential...Ch. 3.1 - What must the separation between charges of +2 and...Ch. 3.1 - Prob. 2PPCCh. 3.1 - Calculate the kinetic energy of a 5.0-kg mass...Ch. 3.1 - Prob. 3.1.2SR
Ch. 3.1 - Arrange the following pairs of charged particles...Ch. 3.2 - One type of laser used in the treatment of...Ch. 3.2 - What is the wavelength (in meters) of an...Ch. 3.2 - What is the frequency (in reciprocal seconds) of...Ch. 3.2 - Which of the following sets of waves best...Ch. 3.2 - Calculate the wavelength (in nanometers) of light...Ch. 3.2 - Prob. 3.2.2SRCh. 3.2 - Prob. 3.2.3SRCh. 3.2 - When traveling through a translucent medium, such...Ch. 3.3 - Calculate the energy (in joules) of (a) a photon...Ch. 3.3 - Calculate the energy (in joules) of (a) a photon...Ch. 3.3 - (a) Calculate the wavelength (in nanometers) of...Ch. 3.3 - Calculate the energy per photon of light with...Ch. 3.3 - Calculate the wavelength (in centimeters) of light...Ch. 3.3 - Calculate the maximum kinetic energy of an...Ch. 3.3 - A clean metal surface is irradiated with light of...Ch. 3.3 - Prob. 3.3.5SRCh. 3.4 - Calculate the wavelength (in nanometers) of the...Ch. 3.4 - What is the wavelength (in nanometers) of a photon...Ch. 3.4 - What is the value of ni for an electron that emits...Ch. 3.4 - For each pair of transitions, determine which one...Ch. 3.4 - Calculate the energy of an electron in the n = 3...Ch. 3.4 - Calculate E of an electron that goes from n = 1 to...Ch. 3.4 - What is the wavelength (in meters) of light...Ch. 3.4 - What wavelength (in nanometers) corresponds to the...Ch. 3.5 - Calculate the de Broglie wavelength of the...Ch. 3.5 - Calculate the de Broglie wavelength (in...Ch. 3.5 - Use Equation 3.11 to calculate the momentum, p...Ch. 3.5 - Consider the impact of early electron diffraction...Ch. 3.5 - Calculate the de Broglie wavelength associated...Ch. 3.5 - At what speed must a helium-4 atom be traveling to...Ch. 3.5 - Determine the minimum speed required for a...Ch. 3.6 - An electron in a hydrogen atom is known to have a...Ch. 3.6 - Prob. 7PPACh. 3.6 - (a) Calculate the minimum uncertainty in the...Ch. 3.6 - Using Equation 3.13, we can calculate the minimum...Ch. 3.6 - What is the minimum uncertainty in the position of...Ch. 3.6 - What is the minimum uncertainty in the position of...Ch. 3.7 - What are the possible values for the magnetic...Ch. 3.7 - Prob. 8PPACh. 3.7 - Prob. 8PPBCh. 3.7 - Prob. 8PPCCh. 3.7 - Prob. 3.7.1SRCh. 3.7 - How many subshells are there in the shell...Ch. 3.7 - What is the total number of orbitals in the shell...Ch. 3.7 - What is the minimum value of the principal quantum...Ch. 3.8 - Prob. 3.9WECh. 3.8 - Prob. 9PPACh. 3.8 - Prob. 9PPBCh. 3.8 - Prob. 9PPCCh. 3.8 - Prob. 3.8.1SRCh. 3.8 - Prob. 3.8.2SRCh. 3.8 - In a hydrogen atom, which orbitals are higher in...Ch. 3.8 - Which of the following sets of quantum numbers, n,...Ch. 3.9 - Write the electron configuration and give the...Ch. 3.9 - Prob. 10PPACh. 3.9 - Write the electron configuration and give the...Ch. 3.9 - Prob. 10PPCCh. 3.9 - Which of the following electron configurations...Ch. 3.9 - Prob. 3.9.2SRCh. 3.9 - Which orbital diagram is collect for the...Ch. 3.10 - Without referring to Figure 3.26, write the...Ch. 3.10 - Prob. 11PPACh. 3.10 - Prob. 11PPBCh. 3.10 - Consider again the alternate universe and its...Ch. 3.10 - Which of the following electron configurations...Ch. 3.10 - Prob. 3.10.2SRCh. 3.10 - Prob. 3.10.3SRCh. 3.10 - Prob. 3.10.4SRCh. 3 - Prob. 3.1KSPCh. 3 - Which of the following electron configurations...Ch. 3 - Prob. 3.3KSPCh. 3 - Prob. 3.4KSPCh. 3 - Define these terms: potential energy, kinetic...Ch. 3 - What are the units for energy commonly employed in...Ch. 3 - A truck initially traveling at 60 km/h is brought...Ch. 3 - Describe the interconversions of forms of energy...Ch. 3 - Determine the kinetic energy of (a) a 1.25-kg mass...Ch. 3 - Determine the kinetic energy of (a) a 29-kg mass...Ch. 3 - Prob. 3.7QPCh. 3 - Determine (a) the velocity of an electron that has...Ch. 3 - Prob. 3.9QPCh. 3 - (a) How much greater is the electrostatic energy...Ch. 3 - Prob. 3.11QPCh. 3 - Prob. 3.12QPCh. 3 - List the types of electromagnetic radiation,...Ch. 3 - Prob. 3.14QPCh. 3 - Prob. 3.15QPCh. 3 - Prob. 3.16QPCh. 3 - The SI unit of time is the second, which is...Ch. 3 - Prob. 3.18QPCh. 3 - Prob. 3.19QPCh. 3 - Four waves represent light in four different...Ch. 3 - Prob. 3.21QPCh. 3 - Prob. 3.22QPCh. 3 - Prob. 3.23QPCh. 3 - What is a photon? What role did Einsteins...Ch. 3 - A photon has a wavelength of 705 nm. Calculate the...Ch. 3 - The blue color of the sky results from the...Ch. 3 - A photon has a frequency of 6.5 109 Hz. (a)...Ch. 3 - Prob. 3.28QPCh. 3 - Calculate the difference in energy (in joules)...Ch. 3 - How much more energy per photon is there in green...Ch. 3 - Prob. 3.31QPCh. 3 - A particular form of electromagnetic radiation has...Ch. 3 - Photosynthesis makes use of visible light to bring...Ch. 3 - The retina of a human eye can detect light when...Ch. 3 - Prob. 3.35QPCh. 3 - The binding energy of magnesium metal is 5.86 ...Ch. 3 - What is the kinetic energy of the ejected electron...Ch. 3 - A red light was shined onto a metal sample and the...Ch. 3 - A photoelectric experiment was performed by...Ch. 3 - Which of the following best explains why we see...Ch. 3 - One way to see the emission spectrum of hydrogen...Ch. 3 - How many lines would we see in the emission...Ch. 3 - For a hydrogen atom in which the electron has been...Ch. 3 - Prob. 3.40QPCh. 3 - Prob. 3.41QPCh. 3 - Briefly describe Bohrs theory of the hydrogen atom...Ch. 3 - Explain the meaning of the negative sign in...Ch. 3 - Consider the following energy levels of a...Ch. 3 - Prob. 3.45QPCh. 3 - Calculate the wavelength (in nanometers) of a...Ch. 3 - Calculate the frequency (hertz) and wavelength...Ch. 3 - What wavelength of light is needed to excite the...Ch. 3 - An electron in the hydrogen atom makes a...Ch. 3 - Explain why elements produce their own...Ch. 3 - Some copper-containing substances emit green light...Ch. 3 - Prob. 3.52QPCh. 3 - Prob. 3.53QPCh. 3 - Prob. 3.54QPCh. 3 - Why is Equation 3.11 meaningful only for...Ch. 3 - Prob. 3.56QPCh. 3 - Thermal neutrons are neutrons that move at speeds...Ch. 3 - Protons can be accelerated to speeds near that of...Ch. 3 - Prob. 3.59QPCh. 3 - What is the de Broglie wavelength (in nanometers)...Ch. 3 - Prob. 3.61QPCh. 3 - Prob. 3.62QPCh. 3 - What are the inadequacies of Bohrs theory?Ch. 3 - What is the Heisenberg uncertainty principle? What...Ch. 3 - Prob. 3.65QPCh. 3 - Prob. 3.66QPCh. 3 - Prob. 3.67QPCh. 3 - The speed of a thermal neutron (see Problem 3.57)...Ch. 3 - Alveoli are tiny sacs of air in the lungs. Their...Ch. 3 - In the beginning of the twentieth century, some...Ch. 3 - Suppose that photons of blue light (430 nm) are...Ch. 3 - Prob. 3.72QPCh. 3 - Prob. 3.73QPCh. 3 - Which of the four quantum numbers (n, , m, ms)...Ch. 3 - Prob. 3.75QPCh. 3 - Prob. 3.76QPCh. 3 - Indicate which of the following sets of three...Ch. 3 - Prob. 3.78QPCh. 3 - Describe the shapes of s, p, and d orbitals. How...Ch. 3 - Prob. 3.80QPCh. 3 - Describe the characteristics of an s orbital, p...Ch. 3 - Why is a boundary surface diagram useful in...Ch. 3 - Prob. 3.83QPCh. 3 - Give the values of the four quantum numbers of an...Ch. 3 - Describe how a 1s orbital and a 2s orbital are...Ch. 3 - Prob. 3.86QPCh. 3 - Prob. 3.87QPCh. 3 - Make a chart of all allowable orbitals in the...Ch. 3 - Prob. 3.89QPCh. 3 - Prob. 3.90QPCh. 3 - A 3s orbital is illustrated here. Using this as a...Ch. 3 - Prob. 3.92QPCh. 3 - Prob. 3.93QPCh. 3 - State the Aufbau principle, and explain the role...Ch. 3 - Indicate the total number of (a) p electrons in N...Ch. 3 - Calculate the total number of electrons that can...Ch. 3 - Determine the total number of electrons that can...Ch. 3 - Determine the maximum number of electrons that can...Ch. 3 - Prob. 3.99QPCh. 3 - The electron configuration of an atom in the...Ch. 3 - List the following atoms in order of increasing...Ch. 3 - Determine the number of unpaired electrons in each...Ch. 3 - Determine the number of impaired electrons in each...Ch. 3 - Determine the number of unpaired electrons in each...Ch. 3 - Prob. 3.105QPCh. 3 - Portions of orbital diagrams representing the...Ch. 3 - Prob. 3.107QPCh. 3 - Prob. 3.108QPCh. 3 - Prob. 3.109QPCh. 3 - Define the following terms and give an example of...Ch. 3 - Explain why the ground-state electron...Ch. 3 - Write the election configuration of a xenon core.Ch. 3 - Comment on the correctness of the following...Ch. 3 - Prob. 3.114QPCh. 3 - Prob. 3.115QPCh. 3 - Write the ground-state electron configurations for...Ch. 3 - Write the ground-state electron configurations for...Ch. 3 - What is the symbol of the element with the...Ch. 3 - Prob. 3.119QPCh. 3 - Prob. 3.120QPCh. 3 - Discuss the current view of the correctness of the...Ch. 3 - Distinguish carefully between the following terms:...Ch. 3 - What is the maximum number of electrons in an atom...Ch. 3 - Prob. 3.124QPCh. 3 - Prob. 3.125QPCh. 3 - A baseball pitchers fastball has been clocked at...Ch. 3 - A ruby laser produces radiation of wavelength 633...Ch. 3 - Four atomic energy levels of an atom are shown...Ch. 3 - Prob. 3.129QPCh. 3 - Spectral lines of the Lyman and Balmer series do...Ch. 3 - Only a fraction of the electric energy supplied to...Ch. 3 - The figure here illustrates a series of...Ch. 3 - When one of heliums electrons is removed, the...Ch. 3 - The retina of a human eye can detect light when...Ch. 3 - An electron in an excited state in a hydrogen atom...Ch. 3 - Prob. 3.136QPCh. 3 - The election configurations described in this...Ch. 3 - Draw the shapes (boundary surfaces) of the...Ch. 3 - Prob. 3.139QPCh. 3 - Consider the graph here. (a) Calculate the binding...Ch. 3 - Scientists have found interstellar hydrogen atoms...Ch. 3 - Ionization energy is the minimum energy required...Ch. 3 - Prob. 3.143QPCh. 3 - Prob. 3.144QPCh. 3 - The cone cells of the human eye are sensitive to...Ch. 3 - (a) An electron in the ground state of the...Ch. 3 - Prob. 3.147QPCh. 3 - Prob. 3.148QPCh. 3 - When an election makes a transition between energy...Ch. 3 - Blackbody radiation is the term used to describe...Ch. 3 - Suppose that photons of red light (675 nm) are...Ch. 3 - In an election microscope, electrons are...Ch. 3 - According to Einsteins special theory of...Ch. 3 - The mathematical equation for studying the...
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
- Using Planck's constant as h = 6.63 × 10−34 J⋅s, what is the wavelength of a proton with a speed of 5.00 × 106 m/s? The mass of a proton is 1.66 × 10−27 kg. Remember to identify your data, show your work, and report the answer using the correct number of significant digits and units.arrow_forwardThe speed of a certain proton is 0.45 Mm s−1. If the uncertainty in its momentum is to be reduced to 0.0100 per cent, what uncertainty in its location must be tolerated?arrow_forwardGerman physicist Werner Heisenberg related the uncertainty of an object's position (Ax) to the uncertainty in its velocity (Av) Ax ≥ h 4πηΔυ where h is Planck's constant and m is the mass of the object. The mass of an electron is 9.11 x 10-31 kg. What is the uncertainty in the position of an electron moving at 1.00 x 106 m/s with an uncertainty of Av = 0.01 x 106 m/s? Ax ≥ marrow_forward
- German physicist Werner Heisenberg related the uncertainty of an object's position (Δ?) to the uncertainty in its velocity (Δ?) Δ?≥ℎ4??Δ? where ℎ is Planck's constant and ? is the mass of the object. The mass of an electron is 9.11×10−31 kg. What is the uncertainty in the position of an electron moving at 6.00×106 m/s with an uncertainty of Δ?=0.01×106 m/s?arrow_forwardImagine an alternate universe where the value of the Planck constant is 6.62607 × 10-12 J.s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object A bacterium with a mass of 4.0 pg, 1.0 μm long, moving at 9.00 μm/s. A raindrop with a mass of 4.0 mg, 5.4 mm wide, moving at 8.0 m/s. A ball with a mass of 50. g, 4.0 cm wide, moving at 21.2 m/s. An alpha particle with a mass of 6.6 x 10-27 kg, 8.0 x 10-15 m wide, moving at 12. km/s. quantum or classical? classical O quantum O classical quantum O classical O quantum classical quantumarrow_forwardImagine an alternate universe where the value of the Planck constant is 6.62607 × 10-37 J.s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object An atom with a mass of 1.0 x 10-25 kg, 85. pm wide, moving at 174. m/s. A grain of sand with mass of 50 mg, 500. um wide, moving at 9.00 mm/s. An iceberg with a mass of 2.7 x 108 kg, 110. m wide, moving at 1.00 km/h. A virus with a mass of 2.8 x 10-17 g, 190. nm wide, moving at 1.00 μm/s. quantum or classical? 100 0 0 ㅇ ㅇㅇㅇ classical O quantum O classical O quantum O classical O quantum O classical O quantum X Sarrow_forward
- Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10 -16 J•s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object quantum or classical? A virus with a mass of 6.0 x 1017 g, 380. nm wide, O classical moving at 1.70 um/s. quantum A turtle with a mass of 990. g, 24. cm long, moving at 1.5 classical cm/s. quantum O classical An atom with a mass of 1.0 x 1027 kg, 77. pm wide, moving at 115. m/s. quantum O classical A grain of sand with a mass of 140 mg, 900. pm wide, moving at 2.00 mm/s. O quantum Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of UseI Privacy Accessibility MacBook Pro Q esc @ #3 $ &arrow_forward3 In the period before the discovery of the neutron many people thought the nucleus consisted of protons and electrons, with the atomic number equal to the excess number of protons. Beta decay seemed to support this idea - after all, electrons come popping out; doesn't that imply that there were electrons inside? Use the position - momentum uncertainty relation, Ax Aph, to estimate the minimum momentum of an electron confined to a nucleus (radius 10-¹3 cm). From the relativistic energy - momentum relation, E² – p²c² = m²c4, determine the corresponding energy, and compare it with that of an electron emitted in, say, the beta decay of tritium (Fig 1.6). (This result convinced some people that the beta-decay electron could not have been rattling around inside the nucleus, but must be produced in the disintegration itself.)arrow_forwardThe largest known element, francium, has an atomic diameter of 540 pm. What is the minimum uncertainty in the momentum of a a francium electron if the uncertainty in its position is taken to be the diamter of the atom? (pico = 10-12)arrow_forward
- German physicist Werner Heisenberg related the uncertainty of an object's position (Δx)(Δx) to the uncertainty in its velocity (Δv)(Δv) Δx≥h4πmΔvΔx≥h4πmΔv where hh is Planck's constant and mm is the mass of the object. The mass of an electron is 9.11×10−31 kg.9.11×10−31 kg. What is the uncertainty in the position of an electron moving at 8.00×106 m/s8.00×106 m/s with an uncertainty of Δv=0.01×106 m/s?Δv=0.01×106 m/s? Δx≥Δx≥_______________________________________________________marrow_forwardCalculate the momentum of an X-ray photon with a wavelength of 0.17nm. How does this value compare with the momentum of a free electron that has been accelerated through a potential difference of 5000 volts? (Hint: electron mass, m, = 9.10938 x 10" kg; electron charge e = 1.602 x 10"C; speed of light e = 3.0 x 10° m.s'; 1.00 J= 1.00 VC; h = 6.626 x 10"J.s. The various energy units are: 1 J=1 kg.m's", 1.00 cV =1VC, leV = 1.602 x 10"J, 1J=6.242 x 10" eV, etc.). %3D %3Darrow_forwardConsider a cellphone operating at the radio frequency of 2.99 x 10° s1. What is the wavelength of the photons it emits? Enter your answer in meters, as a plain number without scientific notation.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
Chemistry: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
Quantum Mechanics - Part 1: Crash Course Physics #43; Author: CrashCourse;https://www.youtube.com/watch?v=7kb1VT0J3DE;License: Standard YouTube License, CC-BY