please explain and show all work.

A 3-component mixture consisting of components A, B, and C is to be separated in a continuous-flow separation unit operating at steady state and constant temperature and pressure to make 2 product streams, labeled P1 and P2. a. (20 points) Please draw a fully labeled schematic of this process, using the variables defined at the right. Underneath your drawing, fill in the requested information that's missing from the variable definitions, as indicated by lower case letters in parentheses ((a), (b), ..., (f)) Title: Steady State Separation of a 3-component mixture into two product streams System: Separator NF=1,Np=2 Contents: Components A,B, and C(NC=3) Process: Continuous separation at constant T and P, operating at steady state Assumptions: no chemical reaction Drawing: Definitions of all variables: F= mass flow rate of feed [kg/h] Pj= mass flow rate of.. (a). j= (b) zi= mass fraction of component i in the feed [.. (c)...] i= (d)............ xij= (e). T= temperature inside the unit [C] P= pressure inside the unit [..(f)... b. (5 points) Why do you need the assumption given above to complete your drawing? c. (16 points). Write out the overall material balance, the component A balance, and Product 2 stream balance for this process, using the variables defined above. State in words the meaning of the overall balance and the stream balance, without using any mathematical operators ("plus", "equals", etc.) in your sentences. d. (9 points). For this process there are 6 independent equations and 12 variables, so 6 independent specifications are required to solve for all the variables. Below are some sample "Givens" or "Finds" from typical problem statements. Please transcribe each statement using the variables defined above. i. The process is being designed to collect all of the C from the feed in one of the products ii. What is the mass fraction of component C in product stream 2 ? iii. The fractional recovery of component B in product 1 is 82%