How Many Energetically Equivalent Ways Can You Distribute the Particles in System a?
2021/3/15 Chapter 19 Workshop Activeness - Entropy
https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=9839194 1/20
Chapter 19 Workshop Activity - Entropy
Due: 12:00am on Th, May 13, 2021
To empathise how points are awarded, read the Grading Policy for this assignment.
Exercise nineteen.30 - Enhanced - with Feedback
MISSED THIS? Read Section 19.3 (Pages 850 - 856) .
Suppose 2 systems, each composed of 3 particles represented past circles, have 30 of total energy.
Organization A:
10
System B:
12
10
viii
Part A
In how many energetically equivalent ways tin you lot distribute the particles in Organization A?
Express your answer every bit an integer.
ANSWER:
Correct
There is only ane arrangement for System A, because all the particles occupy the same level.
Function B
In how many energetically equivalent ways can you distribute the particles in System B?
Express your answer as an integer.
ANSWER:
Correct
There are 3 unlike free energy levels in System B. Each particle can occupy merely one free energy level to maintain the total energy of 30
. Ane tin count the number of equivalent ways past rearranging particles among the levels, or use permutation ( ), where is the
number of distinct possibilities. Thus, for 3 particles at that place are energetically equivalent means to distribute the
particles in Organization B.
Role C
Which system has greater entropy?
ANSWER:
Correct
The entropy of a macrostate of a organisation increases with the number of energetically equivalent ways to arrange the components of
the arrangement. Since System B has a greater number of energetically equivalent means to distribute the particles, it has the greater
entropy.
Exercise 19.31 - Enhanced - with Feedback and Hints
Organization A has the greater entropy.
System B has the greater entropy.
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