QUESTION $5$

The operating pressure of a distillation column is $480$kPa$(g).$ A storage tank operating at $500$ kPa $($a$)$ provides a feed stream for the column through a pump. The feed is a liquid with a viscosity of $0\mathrm{.}5cp$ and a density of $950k\frac{g}{m^3}.$ The pipe, which connects the storage tank and column is $50m$ long and is made of commercial steel with a $49\mathrm{.}25mm$ inside diameter. If atmospheric pressure is $101\mathrm{.}325$kPa $($a$)$ and the feed point of the column is $8m$ higher than the outlet point of the tank, calculate the head of the pump if the flow rate is $10\frac{m^3}{h}r.$ for a commercial steel pipe is $0,000045m.$ Figure $5$ shows the schematic diagram of the storage tank connected to the column and details of all the losses of the pipeline is given in the Table $1$ below. NB$.(g)=$ gauge pressure and $(a)=$ absolute pressure

Figure $5.$ An illustration of the storage tank connected to a distillation column.

Table $1.$ Losses through the piping system

$\backslash$table$[[$Fitting or valves,Number of fittings or valves,$\frac{L_e}{D}$ values$],[$Standard elbow $(90),8,25],[$Ball valve,$2,13],[$Butterfly valve,$1,50]]$

$(18)$

$[18$ Marks$]$