$($c$)$ Hydrodesulphurisation $($HDS$)$ is carried out on low boiling point naphtha $(\text{'}$LN$\text{'})$ which is a co$-$product of the atmospheric distillation of Kuwait Export Crude $(\text{'}$KEC$\text{'})$ oil. The LNKEC is polluted with $13\mathrm{.}9mg{L}^{-1}$ of thiols and $21\mathrm{.}0mg{L}^{-1}$ of thiophene. Use the data below to answer the following questions:

$($i$)$ Determine to four significant figures $(\text{'}4$ s$.$f$.\text{'})$ the molar rate of sulphur to be removed per day by the HDS step for each of the sulphur pollutants when $2000$ barrels$/$day of LNKEC are hydro$-$treated.

$[3$ marks$]$

$($ii$)$ What is the minimum rate of co$-$reactant $H_2($in $\frac{L}{?}$ day$)$ needed to completely desulphurise the thiols and thiophene contents in the LNKEC?

$[5$ marks$]$

Data:

$1$ barrel $=159L$

The specific gravity of LN from KEC is $0\mathrm{.}670$

Molar mass of $S$ is $32\mathrm{.}07gmo{l}^{-1}$

Density of water at $15C$ and $1$ atm is $0\mathrm{.}999kg{L}^{-1}$

$1$ mole of ideal gas at $0C$ and $1$atm $($STP$)$ is equivalent to $22\mathrm{.}41L.$