Chemistry
Chemistry
3rd Edition
ISBN: 9780073402734
Author: Julia Burdge
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 6, Problem 53QP
Interpretation Introduction

Interpretation:

The minimum uncertainty in the velocity of a ping-pong ball is to be determined and a comment is to be made on the magnitude of the uncertainty in the speed.

Concept introduction:

According to the Heisenberg uncertainty principle, the product of the uncertainty in the position and the momentum of a particle cannot be less than h4π . It is expressed as follows:

ΔxΔph4π 

Here, Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck’s constant (6.63×1034 Js).

As momentum is the product of mass and velocity, the equation of the Heisenberg uncertainty principle can also be written as follows:

ΔxmΔuh4π 

Here, Δx is the uncertainty in the position of a particle, m is the mass of the particle, Δu is the uncertainty in velocity, and h is Planck’s constant (6.63×1034 Js).

Conversion factor for nm to meter is1.0 nm1.0×109 m.

Conversion factor for gram to kilogram is:1000 g1.0 kg.

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Chapter 6 Solutions

Chemistry

Ch. 6.2 - Prob. 1CPCh. 6.2 - Prob. 2CPCh. 6.2 - Prob. 3CPCh. 6.2 - Prob. 4CPCh. 6.3 - Prob. 1PPACh. 6.3 - Practice Problem BUILD (a) Calculate the...Ch. 6.3 - Prob. 1PPCCh. 6.3 - Prob. 1CPCh. 6.3 - Prob. 2CPCh. 6.3 - Prob. 3CPCh. 6.3 - Prob. 4CPCh. 6.4 - Prob. 1PPACh. 6.4 - Prob. 1PPBCh. 6.4 - Prob. 1PPCCh. 6.4 - Prob. 1CPCh. 6.4 - Prob. 2CPCh. 6.5 - Practice ProblemATTEMPT Calculate the de Broglie...Ch. 6.5 - Prob. 1PPBCh. 6.5 - Prob. 1PPCCh. 6.5 - What is the minimum uncertainty in the position of...Ch. 6.5 - Prob. 2CPCh. 6.6 - Prob. 1PPACh. 6.6 - Prob. 1PPBCh. 6.6 - Prob. 1PPCCh. 6.6 - Prob. 1CPCh. 6.6 - Prob. 2CPCh. 6.6 - Prob. 3CPCh. 6.6 - Prob. 4CPCh. 6.7 - Practice Problem ATTEMPT (a) What are the possible...Ch. 6.7 - Practice ProblemBUILD (a) What is the lowest...Ch. 6.7 - Practice Problem CONCEPTUALIZE Imagine a cobbler's...Ch. 6.7 - Prob. 1CPCh. 6.7 - Prob. 2CPCh. 6.7 - Prob. 3CPCh. 6.7 - Prob. 4CPCh. 6.8 - Prob. 1PPACh. 6.8 - Prob. 1PPBCh. 6.8 - Prob. 1PPCCh. 6.8 - Prob. 1CPCh. 6.8 - What element is represented by the following...Ch. 6.8 - Which orbital diagram is correct for the...Ch. 6.9 - Practice Problem ATTEMPT Write the electron...Ch. 6.9 - Prob. 1PPBCh. 6.9 - Prob. 1PPCCh. 6.9 - Prob. 1CPCh. 6.9 - Prob. 2CPCh. 6.9 - 6.9.3 Which of the following is a d-block element?...Ch. 6.9 - Prob. 4CPCh. 6.10 - Practice ProblemATTEMPT Without referring to...Ch. 6.10 - Practice ProblemBUILD Without referring to Figure...Ch. 6.10 - Practice ProblemCONCEPTUALIZE Consider again the...Ch. 6 - Key Skills Problems What is the noble gas core for...Ch. 6 - Which of the following electron configurations...Ch. 6 - What element is represented by the electron...Ch. 6 - What is the electron configuration of the Lu atom?...Ch. 6 - What is a wave? Using a diagram, define the...Ch. 6 - 6.2 What are the units for wavelength and...Ch. 6 - List the types of electromagnetic radiation having...Ch. 6 - 6.4 Give the high and low wavelength values that...Ch. 6 - (a) What is the wavelength (in nm) of light having...Ch. 6 - 6.6 (a) What is the frequency of light having a...Ch. 6 - 6.7 The SI unit of time is the second, which is...Ch. 6 - 6.8 How many minutes would it take a radio wave to...Ch. 6 - The average distance between Mars and Earth is...Ch. 6 - 6.10 Four waves represent light in four different...Ch. 6 - Briefly explain Planck’s quantum theory and...Ch. 6 - Prob. 12QPCh. 6 - 6.13 Explain what is meant by the photoelectric...Ch. 6 - 6.14 What are photons? What role did Einstein’s...Ch. 6 - A photon has a wavelength of 705 nm. Calculate the...Ch. 6 - The blue color of the sky results from the...Ch. 6 - 6.17 A photon has a frequency of . (a) Convert...Ch. 6 - What is the wavelength (in nm) of radiation that...Ch. 6 - When copper is bombarded with high energy...Ch. 6 - 6.20 A particular form of electromagnetic...Ch. 6 - The retina of a human eye can detect light when...Ch. 6 - The radioactive 60 Co isotope is used in nuclear...Ch. 6 - Photosynthesis makes use of visible light or bring...Ch. 6 - A red light was shined onto a metal sample and the...Ch. 6 - A photoelectric experiment was performed by...Ch. 6 - What are emission spectra? How do line spectra...Ch. 6 - What is an energy level? Explain the difference...Ch. 6 - Briefly describe Bohr's theory of the hydrogen...Ch. 6 - The first line of the Balmer series occurs at a...Ch. 6 - 6.30 Calculate the wavelength (in nm) of a photon...Ch. 6 - Calculate the frequency (Hz) and wavelength (nm)...Ch. 6 - Careful spectral analysis shows that the familiar...Ch. 6 - 6.33 An electron in the hydrogen atom makes a...Ch. 6 - 6.34 Consider the following energy levels of a...Ch. 6 - Some copper compounds emit green light when they...Ch. 6 - Is it possible for a fluorescent material to emit...Ch. 6 - Explain how astronomers are able to tell which...Ch. 6 - How does do Broglie's hypothesis account for the...Ch. 6 - 6.39 Why is Equation 6.9 meaningful only for...Ch. 6 - Does a baseball in flight possess wave properties?...Ch. 6 - 6.41 Thermal neutrons are neutrons that move at...Ch. 6 - Protons can be accelerated to speeds near that of...Ch. 6 - 6.43 What is the de Broglie wavelength (in cm) of...Ch. 6 - 6.44 What is the de Broglie wavelength (in nm)...Ch. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - How is the concept of electron density used to...Ch. 6 - 6.49 What is an atomic orbital? How does an atomic...Ch. 6 - 6.50 Alveoli are tiny sacs of air in the lungs....Ch. 6 - 6.51 The speed of a thermal neutron (see Problem...Ch. 6 - 6.52 In the beginning of the twentieth century,...Ch. 6 - Prob. 53QPCh. 6 - Prob. 54QPCh. 6 - Which quantum number defines a shell? Which...Ch. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Prob. 61QPCh. 6 - 6.62 List the hydrogen orbitals in increasing...Ch. 6 - Prob. 63QPCh. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Give the values of the four quantum numbers of an...Ch. 6 - Prob. 67QPCh. 6 - Prob. 68QPCh. 6 - Why do the 3s, 3p, and 3d orbitals have the same...Ch. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Prob. 72QPCh. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Prob. 75QPCh. 6 - Prob. 76QPCh. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 81QPCh. 6 - Prob. 82QPCh. 6 - Indicate the number of unpaired electrons present...Ch. 6 - Prob. 84QPCh. 6 - Prob. 85QPCh. 6 - Prob. 86QPCh. 6 - Describe the characteristics of transition metals.Ch. 6 - What is the noble gas core? How does it simplify...Ch. 6 - Prob. 89QPCh. 6 - Prob. 90QPCh. 6 - 6.91 Explain why the ground-state electron...Ch. 6 - 6.92 Write the electron configuration of a xenon...Ch. 6 - Prob. 93QPCh. 6 - Prob. 94QPCh. 6 - Prob. 95QPCh. 6 - Prob. 96QPCh. 6 - 6.97 Write the ground-state electron...Ch. 6 - Prob. 98APCh. 6 - Discuss the current view of the correctness of the...Ch. 6 - Distinguish carefully between the following terms:...Ch. 6 - Prob. 101APCh. 6 - Identify the following individuals and their...Ch. 6 - Prob. 103APCh. 6 - Prob. 104APCh. 6 - Prob. 105APCh. 6 - Prob. 106APCh. 6 - Prob. 107APCh. 6 - 6.108 Ionization energy is the minimum energy...Ch. 6 - Prob. 109APCh. 6 - Prob. 110APCh. 6 - Prob. 111APCh. 6 - All molecules undergo vibrational motions. 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