Chemistry Practice Problems Boltzmann Equation Practice Problems Solution: Consider a system that consists of two standard pl...

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Solution: Consider a system that consists of two standard playing dice, with the state of the system defined by the sum of the values shown on the top faces.Calculate the absolute entropy of the two-dice system.

Problem

Consider a system that consists of two standard playing dice, with the state of the system defined by the sum of the values shown on the top faces.
Two pairs of dice are shown.  The first pair shows a 1 and a 2, and the second pair shows a 4 and a 3.

Calculate the absolute entropy of the two-dice system.

Solution

We’re being asked to determine the entropy associated with rolling a 3 and 7 with two dice (both numbered 1–6).


The possible ways to get an outcome of 3 with two dice are:

First Roll

1

2




Second Roll

2

1





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