Your final exam project is to write a brief report on designing a membrane cascade to separate helium from natural gas.

Problem H$8,$ page $913.$ Be sure to list all of your assumptions$/$approximations$.$ Include a drawing$/$sketch of your designed unit $($if possible use a computer program to draw nicely$).$ Include a summary of input and output streams, their flow rates and composition. In addition to solving the problem numerically, please comment on environmental, safety, and cost factors in an additional $2-3$ paragraph analysis. Estimate a cost for the designed unit. Please comment on how each exit stream will utilized. How do the safety and environmental factors for your design compare to potentially alternative processes types $($e$.$g$.,$ cryogenic distillation$)?$ Will your process produce any toxic waste streams?

Please upload your pdf document to Canvas. You may also include an Excel spreadsheet with your stage$-$bystage calculations.

H$8.$ Helium is in short supply worldwide. There are natural gas sources that contain large amounts of low$-$concentration helium. Your job is to develop a membrane cascade using spiral$-$wound membrane permeators, which are essentially crossflow systems, to produce $1\mathrm{.}0m^{3}STP$ product $\frac{?}{\text{m}\text{i}\text{n}}$ of a $90\mathrm{.}0$mol$\%$ or slightly higher helium product in Table $18-2.$ Feed gas is at $25\mathrm{.}0C$ and $25\mathrm{.}0$atm. In a real design you can pick any retentate pressures you want, but you have to pay for compression. You could also pick any permeate pressure you want for each module. To simplify the problem use a retentate pressure of $25\mathrm{.}0$atm and a permeate pressure of $1\mathrm{.}1$atm for all membranes. Active layer is $t_{ms}=3\mathrm{.}0m.$ Assume the supply of natural gas is larger than you need. Methane depleted of helium will be sent back to the pipeline at $25\mathrm{.}0$atm. Assume costs of compressing retentate to pipeline pressure is negligible. Helium product needs to be compressed to $25\mathrm{.}0$atm. Report feed rate, membrane area, $y_{p,\text{a}\text{v}\text{g}},y_r,$ and $$ for each membrane module in your cascade. Include a sketch of your cascade.

PLEASE DO EVERY STEP OR GUIDE ME THROUGH IT$.$ DONT FORGET THE EXCEL SPREADSHEET

Please do every step or guide me through it$.$ Dont forget the excel sprezdsheet