Please help answer both parts to the questionProblem $1$: $(35$ points$)$

You have to treat $6000$acfm of a fly ash stream at $350K$ that has a particle density of $1500k\frac{g}{m^3},$

gas density $1k\frac{g}{m^3}$ and gas viscosity $0\mathrm{.}075k\frac{g}{m}h.$ The particle size distribution is given in the

table below. You have decided to use two identical High efficiency Stairmand cyclones in series.

You must achieve a minimum of $99\%$ overall efficiency.

a$)$ Determine the diameter of the cyclones and the total power consumed. Use the Leith&Licht

model.

b$)$ Estimate the annual electricity cost to run a fan to push the $6000cfm$ of fly ash through the two

cyclones in series, with the total power consumed you have estimated. Assume the fan efficiency

at $70\%,$ and the fan runs for $8,160hrs$ per year. Use the average Connecticut commercial electricity

rate of $16\mathrm{.}66kWWh.|$

Sizing and parameters $(7$pts$)$

Efficiency calculations $(8$ pts$)$

Diameter $(5$ pts$)$

Total power $(5$ pts$)$

Annual electricity cost $(10$pts$)$