Chemistry Practice Problems Boltzmann Equation Practice Problems Solution: With two dice, each numbered 1-6, there are two po...

Solution: With two dice, each numbered 1-6, there are two possible ways to roll a 3. Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6? What is the entropy associated with an outcome of 6? KB = 1.38 x 10-23

Problem

With two dice, each numbered 1-6, there are two possible ways to roll a 3. Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6? What is the entropy associated with an outcome of 6? K= 1.38 x 10-23

Solution

We’re being asked to determine the entropy associated with rolling a 6 with two dice (both numbered 1–6).


The possible ways to get an outcome of 6 with two dice are:

First Roll

1

5

2

4

3

Second Roll

5

1

4

2

3


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