Bandwidth dependence on flow can be described in many ways. In the course, we used the van Deemter equation H $=$ A $+$ B$/$u $+$ C$*$u$.$

a$)$ Describe in detail what the constants A$,$ B$,$ and C represent in terms of bandwidth phenomena.

b$)$ Now, if we are to perform three different separations:

$(1)$ SFC for small molecules $($with a molecular weight of about $100$ g$/$mol$,$ packing material $10\backslash$mu m in diameter$)$;

$(2)$ protein purification $($proteins with molecular weights between $60,000$ to $200,000$ g$/$mol$,$ packing material $50\backslash$mu m in diameter$)$;

$(3)$ the same as in $(1)$ but now with LC instead of SFC$.$

Discuss and rank from lowest to highest the van Deemter constants A$,$ B$,$ and C for the three different separation systems. Also, discuss why you expect them to be in this particular order.