Principles of Modern Chemistry
8th Edition
ISBN: 9781305079113
Author: David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher: Cengage Learning
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Chapter 4, Problem 61AP
A particle of mass m is placed in a three-dimensional rectangular box with edge lengths 2L, L, and L. Inside the box the potential energy is zero, and outside it is infinite; therefore, the wave function goes smoothly to zero at the sides of the box. Calculate the energies and give the quantum numbers of the ground state and the first five excited states (or sets of states of equal energy) for the particle in the box.
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Chapter 4 Solutions
Principles of Modern Chemistry
Ch. 4 - Some water waves reach the beach at a rate of one...Ch. 4 - The spacing between bands of color in a chemical...Ch. 4 - An FM radio station broadcasts at a frequency of...Ch. 4 - The gamma rays emitted by 60Co are used in...Ch. 4 - Radio waves of wavelength 6.00102m can be used to...Ch. 4 - An argon ion laser emits light of wavelength of...Ch. 4 - The speed of sound in dry air at 20°C is 343.5ms1...Ch. 4 - Ultrasonic waves have frequencies too high to be...Ch. 4 - The maximum in the blackbody radiation intensity...Ch. 4 - Use the data in Figure 4.8 to estimate the ratio...
Ch. 4 - Excited lithium atoms emit light strongly at a...Ch. 4 - Excited mercury atoms emit light strongly at a...Ch. 4 - Barium atoms in a flame emit light as they undergo...Ch. 4 - Potassium atoms in a flame emit light as they...Ch. 4 - The sodium D-line is actually a pair of closely...Ch. 4 - The power output of a laser is measured by its...Ch. 4 - In a FranckHertz experiment on sodium atoms, the...Ch. 4 - In a FranckHertz experiment on hydrogen atoms, the...Ch. 4 - Use the Bohr model to calculate the radius and the...Ch. 4 - He+ ions are observed in stellar atmospheres. Use...Ch. 4 - The radiation emitted in the transition from n=3...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - When an intense beam of green light is directed...Ch. 4 - Cesium frequently is used in photocells because...Ch. 4 - Alarm systems use the photoelectric effect. A beam...Ch. 4 - Light with a wavelength of 2.50107m falls on the...Ch. 4 - Calculate the maximum wavelength of...Ch. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Calculate the de Broglie wavelength of the...Ch. 4 - Calculate the de Broglie wavelength of the...Ch. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - (a) The position of an electron is known to be...Ch. 4 - No object can travel faster than the speed of...Ch. 4 - (a) Using Equation 4.36, make a graph of the n=3...Ch. 4 - Using a simple particle-in-a-box model for the...Ch. 4 - Chapter 3 introduced the concept of a double bond...Ch. 4 - When metallic sodium is dissolved in liquid sodium...Ch. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - A piano tuner uses a tuning fork that emits sound...Ch. 4 - The distant galaxy called Cygnus A is one of the...Ch. 4 - Hot objects can emit blackbody radiation that...Ch. 4 - Compare the energy (in joules) carried by an X-ray...Ch. 4 - The maximum in Planck’s formula for the emission...Ch. 4 - Prob. 50APCh. 4 - When ultraviolet light of wavelength 131 nm...Ch. 4 - Express the speed of the electron in the Bohr...Ch. 4 - Photons are emitted in the Lyman series as...Ch. 4 - Prob. 54APCh. 4 - The energies of macroscopic objects, as well as...Ch. 4 - Prob. 56APCh. 4 - Prob. 57APCh. 4 - It has been suggested that spacecraft could be...Ch. 4 - Prob. 59APCh. 4 - The normalized wave function for a particle in a...Ch. 4 - A particle of mass m is placed in a...
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- 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_forward• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forwardWhat are quantum numbers? What information do we get from the quantum numbers n, l, and ml? We define a spin quantum number (ms), but do we know that an electron literally spins?arrow_forward
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