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 7.5QE
Interpretation Introduction
Interpretation:
The justification given by de Broglie for quantized
Concept Introduction:
de Broglie established a relation for particles of matter that they also can behave as a wave and has a wavelength. The wavelength of a particle is inversely proportional to its mass. The smaller the mass, the larger its wavelength.
The expression given by the de Broglie is as follows:
Here,
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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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- 6.32 What are the mathematical origins of quantum numbers?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_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_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_forwardThe energies of macroscopic objects, as well as those of microscopic objects, are quantized, but the effects of the quantization are not seen because the difference in energy between adjacent states is so small. Apply Bohr’s quantization of angular momentum to the revolution of Earth (mass6.01024kg) , which moves with a speed of 3.0104ms1 in a circular orbit (radius1.51011m) about the sun. The sun can be treated as fixed. Calculate the value of the quantum number n for the present state of the Earthsun system. What would be the effect of an increase in n by 1?arrow_forwardCalculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forward
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- Explain the main features of Bohrs theory. Do these features solve the difficulty alluded to in Question 7.8?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_forwardThe 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_forward
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