A stream $($m$1)$ containing methane C$1(30\%$ by mass$),$ ethane C$2(20\%)$ and propane C$3$ is mixed with another stream m$2)$ containing only methane. The outlet stream flowrate is $400$ g$/$s and contains $10\%$ of ethane.

Assume that the system is in steady state condition and with no reaction taking place. $(25$ pts$-$ a$)10$ pts$,$ b$)15$ pts$)$

a$)$ Draw and label the flowchart of this process.

b$)$ Calculate the unknown flowrates and the mass fractions of all components in each stream