Problem 2.156

A vessel contains \(N\) molecules of an ideal gas. Dividing mentally the vessel into two halves \(A\) and \(B,\) find the probability that the half \(A\) contains \(n\) molecules. Consider the cases when \(N=5\) and \(n=0,1,2,3,4,5\).

Reveal Answer

\begin{aligned} &\text { 2.156. } P_{n}=\frac{\dot{N} !}{n !(N-n) ! 2^{N}} ; 1 / 32,5 / 32,10 / 32,10 / 32,5 / 32,1 / 32\\ &\text { respectively. } \end{aligned}

Second law of thermodynamics, entropy