Examine the situation illustrated in Figure. A tank initially contains 1000 kg of brine containing 10% salt by mass. An inlet stream of brine containing 20% salt by mass flows into the tank at a rate of 20 kg/min. The mixture in the tank is kept uniform by stirring. Brine is removed from the tank via an outlet pipe at a rate of 10 kg/min. Find the amount of salt in the tank at any time t, and the elapsed time when the amount of salt in the tank is 200 kg. I solved this issue by arriving at a first order linear differential equation. I would like to know if there is another possibility to solve, also using global mass balance, but without using a first order linear differential equation.
Examine the situation illustrated in Figure. A tank initially contains 1000 kg of brine containing 10% salt by mass. An inlet stream of brine containing 20% salt by mass flows into the tank at a rate of 20 kg/min. The mixture in the tank is kept uniform by stirring. Brine is removed from the tank via an outlet pipe at a rate of 10 kg/min. Find the amount of salt in the tank at any time t, and the elapsed time when the amount of salt in the tank is 200 kg.
I solved this issue by arriving at a first order linear differential equation. I would like to know if there is another possibility to solve, also using global mass balance, but without using a first order linear differential equation.
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