EBK CHEMICAL PRINCIPLES IN THE LABORATO
11th Edition
ISBN: 9780100546066
Author: SLOWINSKI
Publisher: YUZU
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Chapter 17, Problem 4ASA
Interpretation Introduction
Interpretation:
The substance that is gray-white solid, melts at
Concept introduction:
Substances are classified on the basis of the kinds of bonding present in it. There are three types of substances.
- Ionic substances
- Molecular substances
- Metallic substances
Molecular substances have covalent bonds between the atoms, ionic substances have electrostatic forces between the ions, and metallic substances have metallic bonds.
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32. Consider a two-state system in which the low energy level is 300 J mol 1 and the higher energy
level is 800 J mol 1, and the temperature is 300 K. Find the population of each level. Hint: Pay attention
to your units.
A. What is the partition function for this system?
B. What are the populations of each level?
Now instead, consider a system with energy levels of 0 J mol
C. Now what is the partition function?
D. And what are the populations of the two levels?
E. Finally, repeat the second calculation at 500 K.
and 500 J mol 1 at 300 K.
F. What do you notice about the populations as you increase the temperature? At what temperature
would you expect the states to have equal populations?
30. We will derive the forms of the molecular partition functions for atoms and molecules shortly in
class, but the partition function that describes the translational and rotational motion of a homonuclear
diatomic molecule is given by
Itrans (V,T) =
=
2πmkBT
h²
V
grot (T)
4π²IKBT
h²
Where h is Planck's constant and I is molecular moment of inertia.
The overall partition function is qmolec Qtrans qrot.
Find the energy, enthalpy, entropy, and Helmholtz free energy for the translational and rotational
modes of 1 mole of oxygen molecules and 1 mole of iodine molecules at 50 K and at 300 K and with a
volume of 1 m³. Here is some useful data:
Moment of inertia:
I2 I 7.46 x 10-
45
kg m²
2
O2 I 1.91 x 101
-46
kg m²
K
for each reaction step.
Be sure to account for all bond-breaking and bond-making
steps.
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Chapter 17 Solutions
EBK CHEMICAL PRINCIPLES IN THE LABORATO
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