Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 9, Problem 9.15E
Given that the wavelengths of the first three lines of the Balmer series are
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Physical Chemistry
Ch. 9 - For an object having mass m falling in the z...Ch. 9 - For the system in exercise 9.1, determine the...Ch. 9 - Prob. 9.3ECh. 9 - Prob. 9.4ECh. 9 - Prob. 9.5ECh. 9 - List some unexplainable phenomena from the...Ch. 9 - Draw, label, and explain the functions of the...Ch. 9 - Convert a a wavelength of 218A to cm1, b a...Ch. 9 - Prob. 9.9ECh. 9 - Prob. 9.10E
Ch. 9 - Explain why no lines in the Balmer series of the...Ch. 9 - What are the series limits see the previous...Ch. 9 - The following are the numbers n2 for some of the...Ch. 9 - The Balmer series is isolated from the other...Ch. 9 - Given that the wavelengths of the first three...Ch. 9 - Some scientists study Rydberg atoms, atoms whose...Ch. 9 - Prob. 9.17ECh. 9 - Prob. 9.18ECh. 9 - a How much radiant energy is given off, in...Ch. 9 - Stefans law, equation 9.18, suggests that any body...Ch. 9 - Prob. 9.21ECh. 9 - Betelgeuse pronounced beetle juice is a reddish...Ch. 9 - An average human body has a surface area of...Ch. 9 - Prob. 9.24ECh. 9 - The slope of the plot of energy versus wavelength...Ch. 9 - a Use Wien displacement law to determine the max...Ch. 9 - Prob. 9.27ECh. 9 - Sunburn is caused by ultraviolet UV radiation. Why...Ch. 9 - Calculate the energy of photon having: a a...Ch. 9 - Prob. 9.30ECh. 9 - Integrate Plancks law equation 9.23 from the...Ch. 9 - Calculate the power of light in the wavelength...Ch. 9 - Prob. 9.33ECh. 9 - Work functions are typically given in units of...Ch. 9 - Determine the speed of an electron being emitted...Ch. 9 - Lithium has a work function of 2.90eV. Light...Ch. 9 - Prob. 9.37ECh. 9 - Assume that an electron can absorb more than one...Ch. 9 - The photoelectric effect is used today to make...Ch. 9 - Prob. 9.40ECh. 9 - Prob. 9.41ECh. 9 - Prob. 9.42ECh. 9 - Prob. 9.43ECh. 9 - Prob. 9.44ECh. 9 - Use equation 9.34 to determine the radii, in...Ch. 9 - Prob. 9.46ECh. 9 - Calculate the energies of an electron in the...Ch. 9 - Prob. 9.48ECh. 9 - Show that the collection of constants given in...Ch. 9 - Prob. 9.50ECh. 9 - Equations 9.33 and 9.34 can be combined and...Ch. 9 - a Compare equations 9.31, 9.34, and 9.41 and...Ch. 9 - Label each of the properties of an electron as a...Ch. 9 - The de Broglie equation for a particle can be...Ch. 9 - What is the wavelength of a baseball having mass...Ch. 9 - Electron microscopes operate on the fact that...Ch. 9 - Prob. 9.57ECh. 9 - Prob. 9.58ECh. 9 - Determine under what conditions of temperature and...Ch. 9 - Prob. 9.60ECh. 9 - Prob. 9.61E
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- How 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_forwardList some unexplainable phenomena from the classical science and describe what could not be explained about them at the time.arrow_forwardWhat would the wavelengths of the Balmer series for deuterium be?arrow_forward
- In 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_forwardBased on the trend shown in Figure 11.5, draw the probability distribution of a harmonic oscillator wavefunction that has a very high value of n. Explain how this is consistent with the correspondence principle.arrow_forwardDetermine under what conditions of temperature and wavelength the Rayleigh-Jeans law approximates Plancks law.arrow_forward
- Lasers are now used for the total or partial removal of skin tattoos. A laser with a wavelenth of 755 nm is used to remove tattoos in green or blue inks. (a) How much energy (in kJ/mol) is given off by the laser? (b) Compare the energy obtained in (a) with that given off by an x-ray (=1109m).arrow_forwardState how many radial, angular, and total nodes are in each of the following hydrogen-like wavefunctions. a 2s b 3s c 3p d 4f e 6g f 7sarrow_forwardConsider 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
- The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=( 1 a 0 3 )1/2exp(r a 0 )ao=0.5291010m (a) What is the probability of finding the electron inside a sphere of volume 1.0pm2 , centered at the nucleus (1pm=1012m) ? (b) What is the probability of finding the electron in a volume of 1.0pm2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?arrow_forwardCalculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forwardThe Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from transitions from higher levels to n = 1. Calculate the frequency and wavelength of the least energetic line in this series.arrow_forward
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