3 "For an electron the probability that it is in the volume dt is y? dr = (a'n)e 2/a dt for the 1s orbital.The probability that it is at the distance r from the nucleus is: P(r)dr = w? 4 nr dr = 4r a'e 2r/a dr.Findthatvalueofr. [notethat a=a,](a) Show that vma =(2RT/M )^1/2.(b) Derive the expression for either of the other speeds; the average or the root-mean-square.C) Propose a mechanism for the termolecular reaction; 2NO + Br2 -> 2NOBr all in the gas phas

"For an electron the probability that it is in the volume dt is y? dr = (a'n)'e 2/ dt for the 1s orbita The probability that it is at the distance r from the nucleus is: P(r)dr = w? 4 nr dr = 4ra'e 2/a Findthatvalueofr. [notethat a=a,1 dr.

"For an electron the probability that it is in the volume dt is y? dr = (a'n)'e 2/ dt for the 1s orbita The probability that it is at the distance r from the nucleus is: P(r)dr = w? 4 nr dr = 4ra'e 2/a Findthatvalueofr. [notethat a=a,1 dr.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 5P: Estimate the probability of finding an electron which is excited into the 2s orbital of the H atom,...

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Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

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"For an electron the probability that it is in the volume dt is y? dr = (a'n)e 2/a dt for the 1s orbital.
The probability that it is at the distance r from the nucleus is: P(r)dr = w? 4 nr dr = 4r a'e 2r/a dr.
Findthatvalueofr. [notethat a=a,]
(a) Show that vma =(2RT/M )^1/2
.(b) Derive the expression for either of the other speeds; the average or the root-mean-square.
C) Propose a mechanism for the termolecular reaction; 2NO + Br2 -> 2NOBr all in the gas phas

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Estimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)
The wave function for the 2pz, orbital in the hydrogen atom is 2pl=142(za0)3/2e/2cos where a0 is the value for the radius of the first Bohr orbit in meters (5.29 | 1011), is Z(r/a0), r is the value for the distance from the nucleus in meters, and is an angle. Calculate the value of 2pz2 at r = a0 for = 0 (z axis) and for = 90 (xy plane).
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