HW Key _11 s problems part c

# HW Key _11 s problems part c - S42 a How many microstates...

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S42. a. How many “microstates” are there for the numbers that come up on a pair of dice? The number of microstates equals to number of possible ways for a number to come up on one die, raised to the power of the number of dice. Each die has 6 faces; therefore, 6 microstates for that die. The total number of microstates is 6 2 = 36 b. What is the probability that a roll of a pair of dice will show two sixes? To find the total probability for the pair of dice, we need to consider the probability for one die. The probability that one die will show a six is 1/6. The same will be true for any die. The total probability that both dice will show six at the same time is given by the probability of one die raised to the power of the number of dice. 1 6 2 = 1 36 The other way to think about this is to recognize that showing two 6s is one microstate out of the 36 total states. S43.

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## This note was uploaded on 02/01/2011 for the course CHEM 111 taught by Professor Owens,g during the Fall '08 term at Utah.

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HW Key _11 s problems part c - S42 a How many microstates...

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