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