A GC column was operated under the following conditions:

column: $1\mathrm{.}10m2\mathrm{.}0mm,$ packed with Chromosorb P; mass of stationary liquid added, $1\mathrm{.}40g$; density of liquid, $1\mathrm{.}02\frac{g}{m}L$

pressures: inlet, $26\mathrm{.}1$ psi above room; room, $748$ torr

measured outlet flow rate: $25\mathrm{.}3m\frac{L}{m}in$

temperature: room, $21\mathrm{.}2C$; column, $102\mathrm{.}0C$

retention times: air, $18\mathrm{.}0s$; methyl acetate, $1\mathrm{.}98$min; methyl propionate, $4\mathrm{.}16$min; methyl $n-$butyrate, $7\mathrm{.}93$min

peak widths of esters at base: $0\mathrm{.}19,0\mathrm{.}39,$ and $0\mathrm{.}79,$ respectively

Calculate

$($a$)$ the average flow rate in the column.

$($b$)$ the corrected retention volumes for air and the three esters.

$($c$)$ the specific retention volumes for the three components.

$($d$)$ the distribution constants for each of the esters.

$($e$)$ a corrected retention volume and retention time for methyl $n-$hexanoate.