Figure shows three reactors linked by pipes. As indicated, the rate of transfer of chemicals through each pipe is equal to a flows rate (Q, with units of cubic meters per second) multiplied by the concentration of the reactor from which the flow originates (c, with units of milligrams per cubic meter). If the system is at a steady state, the transfer into each reactor will balance the transfer out. Develop mass-balance equations for the reactors and solve the three simultaneous linear algebraic equations for theirconcentrations.

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500 mg/s 3 200 mg/s O33 = 120 O13 = 40 Qiz = 90 12 Og = 60 O, - 30