In a small uniform box, you have a divider between the right and left halves. Yo
ID: 1414901 • Letter: I
Question
In a small uniform box, you have a divider between the right and left halves. You prepare it with 5 gas molecules on the left side, and 95 on the right. Then you remove the divider to let them move around randomly, (a) What is the probability (percentage of times that it would happen) that when you look again, they are randomly back to the original state of 5 gas molecules on the left side, and 95 on the right? See Table 15.4.
(b) What is the change of entropy you caused by removing the divider, allowing each molecule to randomly access both sides of the box?
Explanation / Answer
a) Probability = 7.5*10^(7)/(1.27*10^(30))
= 5.91*10^(-21)%
b) S= kln(W)
= 1.346×1023 J/K,*LN(1.27*10^(30)
= 93.3*10^(-23)