Chemistry: Principles and Practice
3rd Edition
ISBN: 9780534420123
Author: Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher: Cengage Learning
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Chapter 7, Problem 7.8QE
(a)
Interpretation Introduction
Interpretation:
The quantum number that is related to the average distance of the electron from the nucleus has to be determined.
Concept Introduction:
Erwin Schrödinger gave a model to describe the behavior of an electron in atoms through a wave function. The wave function is defined as a mathematical function for an electron wave that gives the amplitude of the wave at any point in space. It is represented by a Greek letter
The acceptable wave function is characterized by a set of four quantum numbers. These quantum numbers are related to the shape, size of the electron wave, and the location of the electron in space. These quantum numbers are represented by
(b)
Interpretation Introduction
Interpretation:
The name and symbol of the quantum number that is responsible for the shape of the electron probability distribution have to be determined.
Concept Introduction:
Refer to part (a).
(c)
Interpretation Introduction
Interpretation:
The quantum number that is responsible for the orientation of the electron cloud has to be determined.
Concept Introduction:
Refer to part (a).
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Students have asked these similar questions
(a) How does the Bohr model differ from the quantum mechanical model of the atom? Describe at least 2 differences.(b) Define each of the 4 quantum numbers (n, l, ml, ms) and what they physically represent about the orbital and/or electron.(d) How many quantum numbers are needed to completely define a specific orbital? Provide the quantum numbers for the 2s orbital.(d) How many quantum numbers are needed to completely define a specific electron? Provide the quantum numbers for the second electron to fill into a 2s orbital.
What is meant by the ground state of an atom?
(a) All of the quantum numbers have their lowest values
(n = 1, l = m = 0).
(b) The principal quantum number of the electrons in the
outer shell is 1.
(c) All of the electrons are in the lowest energy state,
consistent with the exclusion principle.
(d) The electrons are in the lowest state allowed by the
uncertainty principle.
(a) If the kinetic energy of an electron is known to liebetween 1.59 × 10-19 J and 1.61 × 10-19 J, what is thesmallest distance within which it can be known to lie?(b) Repeat the calculation of part (a) for a helium atominstead of an electron.
Chapter 7 Solutions
Chemistry: Principles and Practice
Ch. 7 - Prob. 7.1QECh. 7 - Prob. 7.2QECh. 7 - Prob. 7.3QECh. 7 - Prob. 7.4QECh. 7 - Prob. 7.5QECh. 7 - Prob. 7.6QECh. 7 - Prob. 7.7QECh. 7 - Prob. 7.8QECh. 7 - Prob. 7.9QECh. 7 - Prob. 7.10QE
Ch. 7 - Prob. 7.11QECh. 7 - Prob. 7.12QECh. 7 - Why is the Heisenberg uncertainty principle an...Ch. 7 - Prob. 7.14QECh. 7 - Prob. 7.15QECh. 7 - Prob. 7.16QECh. 7 - Prob. 7.17QECh. 7 - Prob. 7.18QECh. 7 - Prob. 7.19QECh. 7 - Prob. 7.20QECh. 7 - Prob. 7.21QECh. 7 - Prob. 7.22QECh. 7 - An AM radio station broadcasts at a frequency of...Ch. 7 - An FM radio station broadcasts at a frequency of...Ch. 7 - Prob. 7.25QECh. 7 - Prob. 7.26QECh. 7 - Prob. 7.27QECh. 7 - Prob. 7.28QECh. 7 - This laser emits green light with a wavelength of...Ch. 7 - Prob. 7.30QECh. 7 - What is the energy (in kJ) of 1 mol of photons...Ch. 7 - Prob. 7.32QECh. 7 - Prob. 7.33QECh. 7 - Prob. 7.34QECh. 7 - Prob. 7.35QECh. 7 - Prob. 7.36QECh. 7 - Prob. 7.37QECh. 7 - Prob. 7.38QECh. 7 - Prob. 7.39QECh. 7 - Prob. 7.40QECh. 7 - Prob. 7.41QECh. 7 - Prob. 7.42QECh. 7 - Prob. 7.43QECh. 7 - Prob. 7.44QECh. 7 - Prob. 7.45QECh. 7 - Prob. 7.46QECh. 7 - Prob. 7.47QECh. 7 - Prob. 7.48QECh. 7 - Prob. 7.49QECh. 7 - Prob. 7.50QECh. 7 - Prob. 7.51QECh. 7 - Prob. 7.52QECh. 7 - Prob. 7.53QECh. 7 - Prob. 7.54QECh. 7 - (a) How many subshells are present in the n = 4...Ch. 7 - Prob. 7.56QECh. 7 - Prob. 7.57QECh. 7 - Prob. 7.58QECh. 7 - In what region of space is the probability of...Ch. 7 - Prob. 7.60QECh. 7 - Prob. 7.61QECh. 7 - Prob. 7.62QECh. 7 - Sketch an orbital contour that is expected for an...Ch. 7 - Prob. 7.64QECh. 7 - Prob. 7.65QECh. 7 - Prob. 7.66QECh. 7 - Prob. 7.67QECh. 7 - Prob. 7.68QECh. 7 - Prob. 7.69QECh. 7 - Prob. 7.70QECh. 7 - Prob. 7.71QECh. 7 - Prob. 7.72QECh. 7 - Prob. 7.73QECh. 7 - Prob. 7.74QECh. 7 - Prob. 7.75QECh. 7 - Prob. 7.76QECh. 7 - Prob. 7.77QECh. 7 - Prob. 7.78QECh. 7 - Prob. 7.79QECh. 7 - What are the four quantum numbers of the highest...Ch. 7 - Prob. 7.81QECh. 7 - Prob. 7.82QECh. 7 - Prob. 7.83QECh. 7 - Prob. 7.84QECh. 7 - Prob. 7.85QECh. 7 - Prob. 7.86QECh. 7 - Prob. 7.87QECh. 7 - Prob. 7.88QECh. 7 - Prob. 7.89QECh. 7 - Prob. 7.90QECh. 7 - Prob. 7.91QECh. 7 - Prob. 7.92QECh. 7 - Prob. 7.93QECh. 7 - Prob. 7.94QECh. 7 - Prob. 7.95QECh. 7 - Prob. 7.96QECh. 7 - Prob. 7.97QECh. 7 - Use the aufbau procedure to obtain the electron...Ch. 7 - Prob. 7.99QECh. 7 - Prob. 7.100QECh. 7 - Prob. 7.101QECh. 7 - Prob. 7.102QECh. 7 - Prob. 7.103QECh. 7 - A baseball weighs 142 g. A professional pitcher...
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- Why is the electron in a Bohr hydrogen atom bound less tightly when it has a quantum number of 3 than when it has a quantum number of 1?arrow_forward6.32 What are the mathematical origins of quantum numbers?arrow_forwardWhat experimental evidence supports the quantum theory of light? Explain the wave-particle duality of all matter .. For what size particles must one consider both the wave and the particle properties?arrow_forward
- The work function of metal is the minimum energy required to produce photoelectric effect on that metal, and the work function for potassium metal is 2.30 eV (where 1 eV = 1.60 x 10–19 J).(a) What is the minimum energy in Joules required to eject an electron from potassium metal?(b) What is the longest wavelength of light, in nanometers (nm), capable of producing photoelectric effect on potassium metal? (c) Determine whether a photon of green light with = 512 nm would have sufficient energy to eject an electron from a potassium metal. (d) If an electron is ejected, determine the kinetic energy and the speed of the ejected electron, which has a mass of 9.11 x 10–31 kg. .(Planck’s constant, h = 6.626 x 10–34 J∙s.; speed of light, c = 3.00 x 108 m/s; 1 J = 1 kg∙m2/s2)arrow_forwardWhat does the magnetic quantum number, ml, describe? (a) the orientation in space of the orbital (b) the average distance of the electron from the nucleus (c) the shape of the orbital (d) the direction of spin of the electronarrow_forwardCalculate the energy of electron in hydrogen at quantum levels: (i) n = 1; (ii) n = 2, and (iii) n = 5, according to the Bohr’s model.(b) What is the energy change (E, in Joule) when an electron jumps from quantum level n = 5 to n = 2? Is energy gained or lost by the electron. (c) If energy is gained or lost in the form of electromagnetic radiation, what are the wavelength (; in nm) and frequency (; in s–1) of this radiation?(d) What is the longest wavelength (, in nm) of light that would have sufficient energy to excite an electron from energy level E1 to E; where E∞ = 0.0 J is the edge of the atomarrow_forward
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