the chemical potential, $\backslash$mu $,$ is related to the canonical partition function, Q$,$ by the following relationship: $\backslash$mu $($T$,$p$)=-$kT$($lnQ$/$N$).$ Consider a cubic box with an edge length L containing a monatomic ideal gas. The inside faces absorb some gas, which behaves as a $2$D ideal gas. Assume that each face $($including the absorbed gases$)$ are independent of all others. a$)$ Show that the fraction of atoms absorbed is given by: a $=1/(1+$L$/6\backslash$lambda $)$ where $\backslash$lambda is the deBroglie wavelength.T