2. [5 pts. Figure shows three reactors linked by pipes. As indicated, the rate o

Question

2. [5 pts. Figure shows three reactors linked by pipes. As indicated, the rate of transfer of chemicals through each pipe is equal to a flow rate Q (cubic meters/sec) multiplied by the concentration c (milligrams/cubic meter) of the reactor from which the flow originates. If the system is at a steady state, the transfer into each reactor will balance the transfer out. (a) 4 points] Develop mass-balance equations for the reactors and (b)[1 points Solve for their concentrations and 400 mg/s 13 1 33 3 200 mg/s Q12CI Q23c2 Q. 120 21 2 40 80 60 021 20

Explanation / Answer

Writing mass balance for reactor-1 under steady state conditions

Rate of mass in = Rate of mass out

For reactor-2

400mg/s+ Q21C2= Q13C1+Q12C1

400 + 20*C2= 40C1+80C1 (1)

Writng balnce for reactor-2, Q12C1= Q21C2+Q23C2, 80C1= 20C2+60C2, 80C1=80C2, C1=C2

Eq.1 now 400+20C1= 120C1, 100C1= 400, C1= 4mg/m3= C2= 4 mg/m3

Writing balance for reactor-3, Q13C1+Q23C2+200 = Q33C3,

40*4+60*4+200= 120*C3, 120C3= 600, C3= 5 mg/m3

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