A $250,000BPCD$ of crude oil has the TBP distillation data presented as volume percent distilled versus distillation temperature, $C.$

$\backslash$table$[[$Vol$.\%,0,10,30,50,70,90],[$TBP$,C,35,160,250,260,390,505]]$

The average boiling point of the crude oil is $290C$ and the API density is $28$ degrees with a characterization factor, $K$ equal to $11\mathrm{.}33.$ Plot data on an Excel sheet. $(2$ mark$)$

a$)$ Calculate the critical temperature, the critical pressure, and the eccentric factor. Using Excel spreadsheet. $(1\mathrm{.}5$ marks$)$

b$)$ Calculate the enthalpy of this crude oil $($or furnace load$)$ using the Lee$-$Kessler correlation with a reference state of ideal gas $298K$ if the crude is heated from $150$ to $366C.$ Note: Use equations $3\mathrm{.}38$ to $3\mathrm{.}41$ of your textbook if needed in calculations. Use Excel. $(5$ marks$)$

c$)$ If this crude oil is fed to a distillation column, how much Naphtha and kerosine are produced BPCD if the EP of naphtha is $120C$ and the IBP of Diesel is $248C?1\mathrm{.}5$ marks$).$