Differential Equation : Modeling 1st Order
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200L of dye solution with 1g/L concentration. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing at a rate of 2L/min, the well stirred solution flows out at the same rate. Find the time that will elapse before the concentration of the dye reaches 1% of its original value.

Question

Differential Equation : Modeling 1st Order
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200L of dye solution with 1g/L concentration. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing at a rate of 2L/min, the well stirred solution flows out at the same rate. Find the time that will elapse before the concentration of the dye reaches 1% of its original value.