A company is planning to produce green diesel from soybean oil by the hydrotreating process. It has secured a supply of $5,000$ barrels $($bbl$)$ per day of soyabean oil for the green diesel production. For this facility, you are required to estimate the following.

a$)$ Mass flow rate of hydrogen required for green diesel production $($kg$/$d$).$

b$)$ Volumetric flow rate of hydrogen $($Nm$3/$m$3)$

Following additional information is given:

$1.$ Molecular weight of triglyceride is $895$ kg$/$kmol

$2.$ The average molecular weight of fatty acid is $284$ kg$/$kmol

$3.$ The fatty acid on triglyceride can be represented by a mixture of oleic acid and alpha$-$linolenic acid which have $18$ carbon atom and average of two double bonds $(18$:$2).$

$4.$ The density of biodiesel is $880$ kg$/$m$3$ and that of green diesel is about $800$ kg$/$m$3$

$5.$ You can assume that hydrodeoxygenation is the main reaction for the removal of

oxygen during green diesel production.

If you find that an information is missing, make an appropriate assumption or use a

literature value.