answer all parts to this problem please Problem $1$: Baghouses$/$Scrubbers $(30$ points$)$

A manufacturing plant has been required to install a particulate control system to remove $93\%$ of

its PM emissions. The dust size distribution is shown in the table below. The total airflow is

$10,000cfm$ at $90F$ and $1$atm. The mass loading is $50$ grains $\frac{?}{f{t}^3}.$ The particle density is the same

as that of water.

Assuming that this is a fly ash gas stream with a viscosity of $0\mathrm{.}07k\frac{g}{m}h$ and density of $1k\frac{g}{m^3},$

compare the energy requirements $($in Watts$)$ and the electricity cost $($in $$,$ for the state of CT$)$

between:

a$)$ A reverse air$-$flow baghouse with a cleaning time of $3$min and filtration time of $2hrs,Ke=$

$0\mathrm{.}50in.H2\frac{O}{f}\frac{t}{m}in$ and $Ks=0\mathrm{.}001in.H2O-ft-mi\frac{n}{g}r$ and assuming that the area of one bag

is $1m^2(10pts)$

and

b$)$ A Venturi scrubber with QL$/$QG of $1\frac{L}{m^3},$ a velocity of $100\frac{m}{s}$ and a throat length of $25cm$

$($assume hydrophilic particles$)(10$pts$).$

c$)$ For the electricity cost assume that each system operates for $350$ days per year. State clearly

any other assumptions you will make for the electricity cost calculation. Make a choice between

the two systems and explain your reasoning. $(10$ pts$)$