QUESTION 1 Now suppose you have 100 dice. How many total microstates are there? What is the probability that, if all are shaken at the same time,

QUESTION 1

1. Now suppose you have 100 dice. How many total microstates are there? What is the probability that, if all are shaken at the same time, they all have the number 1 facing up? Can you compare this probability with the probability associated with the most common macrostate? (This one takes some thinking!!!!)

QUESTION 2

1. Based on these results, how likely does it seem that if a mol of gas starts in a fairly ordered state in a container, that it will remain that way? What processes occur to cause the tendency to disorder (and hence the increase in entropy?)

QUESTION 3

1. Now consider a cup of hot chocolate in a cool room (say the h.c. is at 80o C and the room is at 20o C). Why is it more like (nearly infinitely more so) that the cup of hot chocolate will dissipate its heat into the room as opposed to the room getting cooler and the hot chocolate getting hotter?