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

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.The two arrangements of top faces shown here can be viewed as two possible microstates of the system. Which state or states have the highest entropy? Explain.

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.

The two arrangements of top faces shown here can be viewed as two possible microstates of the system. Which state or states have the highest entropy? Explain.

Solution

We have to determine which of the two given microstates of the system has the higher entropy.


A specific way, in which the energy of a system can be arranged, is called a microstate. Each microstate has a different probability.


We have to first determine how many microstates of the given system are possible.

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