Water at $158$ of flows in a circular conduit. The relationship between the transition or entrance length $($Le$)$ and the pipe diameter was observed as follows.

$\backslash$table$[[$Le $($in$),32\mathrm{.}1,56\mathrm{.}3,120\mathrm{.}2,213\mathrm{.}8,248\mathrm{.}9,300\mathrm{.}3],[D($in$),1,2,5,10,12,15]]$

a$)$ Determine the mass flow rate $(1\frac{b_m}{h})$ and volumetric flow rate $(f\frac{t^3}{h})$ of the solution flowing into the tube.

b$)$ Determine the Reynolds number at a pipe diameter of $7\mathrm{.}5in.$

c$)$ Determine the type of flow of the fluid.