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**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? KB = 1.38 x 10-23

###### FREE Expert Solution

###### FREE Expert 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:

| 1 | 5 | 2 | 4 | 3 |

| 5 | 1 | 4 | 2 | 3 |

###### Problem Details

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_{B }= 1.38 x 10^{-23}

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Our tutors have indicated that to solve this problem you will need to apply the Boltzmann Equation concept. If you need more Boltzmann Equation practice, you can also practice Boltzmann Equation practice problems .

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With two dice, each numbered 1-6, there are two possible way...
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Based on our data, we think this problem is relevant for Professor Pelton's class at UMN.