Please compute the solution of the following question
Question- To generate the biodegradable polymer, poly-L-lactic acid (PLA), a continuous production method is used. The monomer, lactic acid (LA), is reacted with a catalyst in the presence of water to generate PLA. One unit of this multi-unit process is a mixer. Streams 1, 2, and 3 are inlets to this mixer; stream 4 is an outlet. Stream 1 contains water and catalyst. The mass fraction of catalyst in stream 1 is 0.30. Stream 2 contains water and LA. Stream 3 is a recycle stream from further down the operation coming back into the mixer and contains water, LA, catalyst, and PLA. In stream 3, the mass fraction of PLA is 0.08, the mass fraction of catalyst is 0.03, and the mass fraction of LA is 0.250. The contents of the 3 streams are well-mixed and leave in stream 4. In stream 4, the mass fraction of catalyst is 0.15 and the mass fraction of PLA is 0.02. The mass flow rate of LA in stream 2 is ten times the mass flow rate of LA in stream 3.
Part 1- Write a mass conservation equation for each of the four constituents (water, LA, catalyst, and PLA) in the system.
Part 2- Determine the flow rate of each of the four streams.
Part 3- Determine the mass fraction of each of the constituents (water, LA, catalyst, and PLA, as appropriate) in streams 2 and 4.
I want experts assistance to calculate the flow rate of each of the four streams.