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# MixingHW - ENV 6015 Mixing Problem Set 1 A slug of dye(100...

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ENV 6015 Mixing Problem Set 1. A slug of dye (100 mg) is injected into a single tank with continuous mixing. The flow in and out of the tank is 0.5 gpm. The tank volume is 500 gallons. When will the dye concentration equal 26.8 ug/L? 2. Is the differential equation shown below the correct differential equation for the system? 3. The data shown in the succeeding table represent concentration of dye following time of addition. Assume the data points can be connected by straight lines to provide a continuous representation of mass flow out of the tank. This data is typical of data generated for a resident time distribution study. How many pounds of dye were added to the tank if the tank volume was 53,000 gallons and the flow was 26,500 gph? Draw a concentration verses time curve, and a cumulative mass verses time curve for this data. Report the times when 10 %, 40 % and 90 % of the mass has exited the tank. Do you think this system represents a plug flow, complete mix or combination plug flow- complete mix system? Why?

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