following result shows the effect of particle size on plate height packed GC column.

Calculate the optimum velocity $(u_{\text{o}\text{p}\text{t}})$ of mobile phase achieved using particles with a diameter of $0\mathrm{.}5mm.(6$ pts$)$

Calculate the multipath $($eddy diffusion$)$ term achieved using particles with a diameter of $0\mathrm{.}5mm.(6$ pts$)$

Explain column efficiency change at $u_{\text{o}\text{p}\text{t}}$ with decreasing particle size and provide reason$($s$)$ for your answer. $(4$ pts$)$

umption: $1)$ The $H_{\text{m}\text{i}\text{n}}$ achieved using particles with a diameter of $0\mathrm{.}5mm$ is $($:$0\mathrm{.}09(cm)$;$2\}$ The parameters at $u_{\text{o}\text{p}\text{t}\text{:}}$ : $B=0\mathrm{.}2c\frac{m^2}{s},C_S=3\mathrm{.}2{10}^{-3}s,$ and $C_M=4\mathrm{.}0{10}^{-3}s.$