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02 - Using units and physical constants, TableForm, MatrixForm commands.pdf
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University of California - Irvine

Chemistry

CHEM 5

Douglas Tobias

Fall

Description

Homework #2
#1: Bohr’s model of the atom gave the following expression for the Rydberg constan-
e me
t: RH = 8 ▯ 2ch3 Calculate a numerical value of R in HI units. Include symbolic units in your
0
calculation so that your answer will be given in SI units.
2
kg m
(Note: J = s2 )
-19
e = 1.602176 µ 10 C;
-31
me= 9.10938 µ 10 kg;
-12 2 2 2
▯0= 8.85410 µ 10 C ë IIIkg * m M ë s M * mM;
8
c = 2.99792458 µ 10 m ê s;
h = 6.62608 µ 10 -34IIkg * m M ë s M * s;
4
e * m e
RH =
8 * ▯02* c * h3
1.09739 µ 10 7
m
#2: Planck’s theory of blackbody radiaiton predicts the following relation between the Stefan-
Boltzmann constant, s and the fundamental constants: Boltzmann’s constant, Planck’s con-
stant, and the speed of light. Loading the PhysicalConstants and Units packages, Calculate the
4
2p kB
value of s using the following formula s = 15c h3 verify that it is the same as the stored in Physi-
calConstants package.
<< Units`
$Packages
8Units`, Utilities`URLTools`, QuantityUnits`, WolframAlphaClient`,
HTTPClient`, HTTPClient`OAuth`, HTTPClient`CURLInfo`, HTTPClient`CURLLink`,
JLink`, DocumentationSearch`, PhysicalConstants`, GetFEKernelInit`,
ResourceLocator`, PacletManager`, WebServices`, System`, Global`<
<< PhysicalConstants`
General::obspkg :
PhysicalConstants` is now obsolete. The legacy version being loaded may conflict with current Mathematica
functionality. See the Compatibility Guide for updating information.
StefanConstant
5.6704 µ 10 -8 Watt
4
Kelvin Meter 2
Printed by Wolfram Mathematica Student Edition 2 vprytkov_sclugo_Homework 2.nb
k = BoltzmannConst

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