Bundle: Physical Chemistry, 2nd + Student Solutions Manual
2nd Edition
ISBN: 9781285257594
Author: David W. Ball
Publisher: Cengage Learning
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Textbook Question
Chapter 9, Problem 9.47E
Calculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.
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When a hydrogen atom absorbs a photon of electromagnetic radiation (EMR), the internal energy of the atom increases and one or more electrons may be energized into an excited state. The release of this extra energy as the excited state electron transitions back to a lower energy state results in the emission of a photon. These energy changes are responsible for the emission spectrum of hydrogen (shown below) and are described by the Bohr equation. What is the longest wavelength of electromagnetic radiation capable of ionizing this hydrogen atom in an excited state? Report your answer in nanometers.
A region in space around a nucleus where there is a high probability of finding an electron is called a Bohr orbit.
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Chapter 9 Solutions
Bundle: Physical Chemistry, 2nd + Student Solutions Manual
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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- Why was Bohr's theory for the hydrogen atom initially accepted, and why was it ultimately discarded?arrow_forwardDefend 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_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_forward
- Although we may draw the 4s orbital with the shape of a ball, there is some probability of finding the electron outside the ball we draw. Is this statement true or false? Comment on this statement.arrow_forwardCalculate the average radius for an electron in a 2s orbital of a hydrogen atom.arrow_forwardFor the Bohr atom, calculate the energy that is released when an electron moves from the third allowed orbit to the second allowed orbit. Calculate the wavelength of the emitted radiation.arrow_forward
- differentiate the similarity and/or differences among the bohr model of atom and the schrodinger quantum model of atom.arrow_forwardThe allowed energy states in the Bohr model for the H atom more like steps or more like a ramp?arrow_forwardWhat are the contribution of Max Planck, Erwin Schrodinger, Niels Bohr, Albert Eisntein,and Louis de broglie in the development of the quantum mechanical description of the atom?arrow_forward
- What is the least possible initial kinetic energy Kmin the oxygen atom could have and still excite the cesium atom? Express your answer in electron volts, to one decimal place.arrow_forwardElaborate the role of the scientist in development of the quantum mechanical description of the atom. Explain the contribution of Max Planck, Albert Eistien, Niels Bohr, Louis de Broglie, Erwin Schrodinger.arrow_forwardWhich of the following statements is/are true about the quantum mechanical model of the atom? No answer text provided. The electron probability distribution determines the most probable location of an electron in an atom. The electron's energy and position cannot be determined exactly at the same time. Electrons are described as wavefunctions.arrow_forward
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