Chemistry
13th Edition
ISBN: 9781259911156
Author: Raymond Chang Dr., Jason Overby Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 7, Problem 7.44QP
What is the Heisenberg uncertainty principle? What is the Schrödinger equation?
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Chapter 7 Solutions
Chemistry
Ch. 7.1 - What is the wavelength (in meters) of an...Ch. 7.1 - Which of the waves (a)(c) has (i) the highest...Ch. 7.1 - Why is radiation only in the UV but not the...Ch. 7.2 - The energy of a photon is 5.87 1020 J. What is...Ch. 7.2 - The work function of titanium metal is 6.93 1019...Ch. 7.2 - A photon has a frequency of 7.25 1014 s1....Ch. 7.2 - What is the wavelength (in nm) of a photon with...Ch. 7.2 - A clean metal surface is irradiated with light of...Ch. 7.3 - What is the wavelength (in nanometers) of a photon...Ch. 7.3 - Which transition in the hydrogen atom would emit...
Ch. 7.3 - What is the energy of an electron in the n = 4...Ch. 7.3 - What is the wavelength (in nm) of a photon emitted...Ch. 7.4 - Calculate the wavelength (in nanometers) of a H...Ch. 7.4 - Which quantity in Equation (7.8) is responsible...Ch. 7.4 - What is the wavelength (in nm) of a neutron...Ch. 7.5 - Estimate the uncertainty in the speed of an oxygen...Ch. 7.5 - What is the difference between and 2 for the...Ch. 7.5 - A proton is moving at a speed of 6.0 106 m/s. If...Ch. 7.6 - What are the allowed values for m when n = 5 and ...Ch. 7.6 - What are the allowed values of when n = 3?Ch. 7.6 - Give the four quantum numbers for each of the two...Ch. 7.7 - Give the values of the quantum numbers associated...Ch. 7.7 - What is the total number of orbitals associated...Ch. 7.7 - Why is it not possible to have a 2d orbital, but a...Ch. 7.7 - What are the n, , and m values for orbitals in the...Ch. 7.7 - How many orbitals are there in the 5f subshell?Ch. 7.8 - Write the four quantum numbers for an electron in...Ch. 7.8 - Prob. 11PECh. 7.8 - Write a complete set of quantum numbers for each...Ch. 7.8 - The ground-state electron configuration of an atom...Ch. 7.8 - Determine the maximum number of electrons that can...Ch. 7.8 - Identify the error in each of the following sets...Ch. 7.9 - Prob. 13PECh. 7.9 - What element is represented by the following...Ch. 7.9 - Identify the element that has the following...Ch. 7.9 - Write the electron configuration for an atom of...Ch. 7 - What is a wave? Explain the following terms...Ch. 7 - What are the units for wavelength and frequency of...Ch. 7 - List the types of electromagnetic radiation,...Ch. 7 - Give the high and low wavelength values that...Ch. 7 - Briefly explain Plancks quantum theory and explain...Ch. 7 - Prob. 7.6QPCh. 7 - (a) What is the wavelength (in nm) of light having...Ch. 7 - (a) What is the frequency of light having a...Ch. 7 - Prob. 7.9QPCh. 7 - How many minutes would it take a radio wave to...Ch. 7 - The SI unit of time is the second, which is...Ch. 7 - Prob. 7.12QPCh. 7 - What are photons? What role did Einsteins...Ch. 7 - Consider the plots shown here for the...Ch. 7 - A photon has a wavelength of 624 nm. Calculate the...Ch. 7 - The blue color of the sky results from the...Ch. 7 - A photon has a frequency of 6.0 104 Hz. (a)...Ch. 7 - What is the wavelength, in nm, of radiation that...Ch. 7 - When copper is bombarded with high-energy...Ch. 7 - A particular form of electromagnetic radiation has...Ch. 7 - The work function of potassium is 3.68 1019 J....Ch. 7 - When light of frequency equal to 2.11 1015 s1...Ch. 7 - (a) What is an energy level? Explain the...Ch. 7 - Prob. 7.24QPCh. 7 - Explain why elements produce their own...Ch. 7 - Prob. 7.26QPCh. 7 - Prob. 7.27QPCh. 7 - Explain how astronomers are able to tell which...Ch. 7 - Consider the following energy levels of a...Ch. 7 - Prob. 7.30QPCh. 7 - Calculate the wavelength (in nm) of a photon...Ch. 7 - Calculate the frequency (Hz) and wavelength (nm)...Ch. 7 - Prob. 7.33QPCh. 7 - An electron in the hydrogen atom makes a...Ch. 7 - Explain the statement, Matter and radiation have a...Ch. 7 - How does de Broglies hypothesis account for the...Ch. 7 - Why is Equation (7.8) meaningful only for...Ch. 7 - (a) If a H atom and a He atom are traveling at the...Ch. 7 - Prob. 7.39QPCh. 7 - Protons can be accelerated to speeds near that of...Ch. 7 - What is the de Broglie wavelength, in centimeters,...Ch. 7 - What is the de Broglie wavelength (in nm)...Ch. 7 - What are the inadequacies of Bohrs theory?Ch. 7 - What is the Heisenberg uncertainty principle? What...Ch. 7 - Prob. 7.45QPCh. 7 - How is the concept of electron density used to...Ch. 7 - Prob. 7.47QPCh. 7 - Which quantum number defines a shell? Which...Ch. 7 - Which of the following orbitals do not exist: 1p,...Ch. 7 - Which of the four quantum numbers (n, , m, ms)...Ch. 7 - Prob. 7.51QPCh. 7 - An electron in an atom is in the n = 3 quantum...Ch. 7 - Give the values of the quantum numbers associated...Ch. 7 - Give the values of the four quantum numbers of an...Ch. 7 - Prob. 7.55QPCh. 7 - List all the possible subshells and orbitals...Ch. 7 - What is an atomic orbital? How does an atomic...Ch. 7 - Describe the shapes of s, p, and d orbitals. How...Ch. 7 - List the hydrogen orbitals in increasing order of...Ch. 7 - Why is a boundary surface diagram useful in...Ch. 7 - Prob. 7.61QPCh. 7 - What is the difference between a 2px and a 2py...Ch. 7 - Calculate the total number of electrons that can...Ch. 7 - Prob. 7.64QPCh. 7 - Prob. 7.65QPCh. 7 - Indicate the total number of (a) p electrons in N...Ch. 7 - Make a chart of all allowable orbitals in the...Ch. 7 - Why do the 3s, 3p, and 3d orbitals have the same...Ch. 7 - For each of the following pairs of hydrogen...Ch. 7 - Which orbital in each of the following pairs is...Ch. 7 - What is electron configuration? Describe the roles...Ch. 7 - Prob. 7.72QPCh. 7 - Prob. 7.73QPCh. 7 - What is meant by the term shielding of electrons...Ch. 7 - Indicate which of the following sets of quantum...Ch. 7 - The ground-state electron configurations listed...Ch. 7 - The atomic number of an element is 73. Is this...Ch. 7 - Indicate the number of unpaired electrons present...Ch. 7 - State the Aufbau principle and explain the role it...Ch. 7 - Prob. 7.80QPCh. 7 - What is the noble gas core? How does it simplify...Ch. 7 - What are the group and period of the element...Ch. 7 - Prob. 7.83QPCh. 7 - Explain why the ground-state electron...Ch. 7 - Prob. 7.85QPCh. 7 - Comment on the correctness of the following...Ch. 7 - Prob. 7.87QPCh. 7 - Use the Aufbau principle to obtain the...Ch. 7 - Prob. 7.89QPCh. 7 - Prob. 7.90QPCh. 7 - The electron configuration of a neutral atom is...Ch. 7 - Which of the following species has the most...Ch. 7 - A sample tube consisted of atomic hydrogens in...Ch. 7 - A laser produces a beam of light with a wavelength...Ch. 7 - When a compound containing cesium ion is heated in...Ch. 7 - Prob. 7.96QPCh. 7 - Prob. 7.97QPCh. 7 - Prob. 7.98QPCh. 7 - Identify the following individuals and their...Ch. 7 - What properties of electrons are used in the...Ch. 7 - A certain pitchers fastballs have been clocked at...Ch. 7 - A student carried out a photoelectric experiment...Ch. 7 - (a) What is the lowest possible value of the...Ch. 7 - Considering only the ground-state electron...Ch. 7 - A ruby laser produces radiation of wavelength 633...Ch. 7 - A 368-g sample of water absorbs infrared radiation...Ch. 7 - Photodissociation of water H2O(l)+hvH2(g)+12O2(g)...Ch. 7 - Prob. 7.109QPCh. 7 - An atom moving at its root-mean-square speed at...Ch. 7 - Prob. 7.111QPCh. 7 - The He+ ion contains only one electron and is...Ch. 7 - Ozone (O3) in the stratosphere absorbs the harmful...Ch. 7 - The retina of a human eye can detect light when...Ch. 7 - A helium atom and a xenon atom have the same...Ch. 7 - Prob. 7.116QPCh. 7 - Prob. 7.117QPCh. 7 - A photoelectric experiment was performed by...Ch. 7 - Draw the shapes (boundary surfaces) of the...Ch. 7 - The electron configurations described in this...Ch. 7 - Draw orbital diagrams for atoms with the following...Ch. 7 - Prob. 7.122QPCh. 7 - Scientists have found interstellar hydrogen atoms...Ch. 7 - Prob. 7.124QPCh. 7 - Ionization energy is the minimum energy required...Ch. 7 - An electron in a hydrogen atom is excited from the...Ch. 7 - Prob. 7.127QPCh. 7 - Prob. 7.128QPCh. 7 - Prob. 7.129QPCh. 7 - Shown are portions of orbital diagrams...Ch. 7 - The UV light that is responsible for tanning the...Ch. 7 - The sun is surrounded by a white circle of gaseous...Ch. 7 - Prob. 7.133QPCh. 7 - Prob. 7.134QPCh. 7 - Prob. 7.135QPCh. 7 - In an electron microscope, electrons are...Ch. 7 - Prob. 7.137QPCh. 7 - The radioactive Co-60 isotope is used in nuclear...Ch. 7 - (a) An electron in the ground state of the...Ch. 7 - One wavelength in the hydrogen emission spectrum...Ch. 7 - Owls have good night vision because their eyes can...Ch. 7 - For hydrogenlike ions, that is, ions containing...Ch. 7 - When two atoms collide, some of their kinetic...Ch. 7 - Calculate the energies needed to remove an...Ch. 7 - The de Broglie wavelength of an accelerating...Ch. 7 - The minimum uncertainty in the position of a...Ch. 7 - According to Einsteins special theory of...Ch. 7 - The mathematical equation for studying the...Ch. 7 - In the beginning of the twentieth century, some...Ch. 7 - Blackbody radiation is the term used to describe...Ch. 7 - Prob. 7.151QPCh. 7 - The wave function for the 2s orbital in the...Ch. 7 - A student placed a large unwrapped chocolate bar...Ch. 7 - The wave properties of matter can generally be...Ch. 7 - Atoms of an element have only two accessible...Ch. 7 - Prob. 7.156QPCh. 7 - Only a fraction of the electrical energy supplied...Ch. 7 - Prob. 7.158QPCh. 7 - A typical red laser pointer has a power of 5 mW....Ch. 7 - Referring to the Chemistry in Action essay Quantum...
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- Defend and criticize Bohrs model. Why was it reasonable that such a model was proposed, and what evidence was there that it "works"? Why do we no longer "believe" in it?arrow_forwardWhy was Schrodinger not able to describe exactly the pathway an electron takes as it moves through the space of an atom?arrow_forwardState the Heisenberg uncertainty principle. Describe briefly what the principle implies.arrow_forward
- Calculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forwardIn 1885, Johann Balmer, a mathematician, derived the following relation for the wavelength of lines in the visible spectrum of hydrogen =364.5 n2( n2 4) where in nanometers and n is an integer that can be 3, 4, 5, . . . Show that this relation follows from the Bohr equation and the equation using the Rydberg constant. Note that in the Balmer series, the electron is returning to the n=2 level.arrow_forwardHow is the Bohr theory of the hydrogen atom inconsistent with the uncertainty principle? In fact, it was this inconsistency, along with the theorys limited application to non-hydrogen-like systems, that limited Bohrs theory.arrow_forward
- Why was Bohr's theory for the hydrogen atom initially accepted, and why was it ultimately discarded?arrow_forwardHow are the Bohr model and the quantum mechanical model of the hydrogen atom similar? How are they different?arrow_forwardExplain the main features of Bohrs theory. Do these features solve the difficulty alluded to in Question 7.8?arrow_forward
- Consider a one-dimensional particle-in-a-box and a three-dimensional particle-in-a-box that have the same dimensions. a What is the ratio of the energies of a particle having the lowest possible quantum numbers in both boxes? b Does this ratio stay the same if the quantum numbers are not the lowest possible values?arrow_forward6.106 When Bohr devised his model for the atom, was he using deductive or inductive reasoning? Explain your answer.arrow_forward• use Planck’s equation to calculate the energy of a photon from its wavelength or frequency.arrow_forward
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