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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