question archive 1) If you roll two dice of different colors, the sum of the individual dice can be equal to the numbers 2 through 12
1) If you roll two dice of different colors, the sum of the individual dice can be equal to the numbers 2 through 12
Subject:ChemistryPrice: Bought3
1) If you roll two dice of different colors, the sum of the individual dice can be equal to the numbers 2 through 12. The sum of the dice is the macrostate of this system. The numbers on each individual die is equal to the microstate of the system. For example, if you roll a white and black die and the white lands on a 3 and the black die lands on a 4, then the microstate of the system is "3 and 4" while the macrostate is "7". Given this information, complete Table 1. A macrostate of 3 has been completed for you (dice images are included as a visual aid).
Table 1: Possible Microstate Data for 2 Dice
| Macrostate |
Possible Microstates (Dice Combinations) |
Number of Microstates, Ω | Entropy S= k ln(Ω) |
|---|---|---|---|
| 2 | |||
| 3 | 2 | 9.6 x 10-24 | |
| 4 | |||
| 5 | |||
| 6 | |||
| 7 | |||
| 8 | |||
| 9 | |||
| 10 | |||
| 11 | |||
| 12 |
