The initial concentration of salt in a 10 m^3 tank is 0.02 kg/m^3. A brine flows into the tank at 2 m^3/s with a concentration of 0.01 kg/m^3, and an equal flow is flowing out from the same tank. Determine: a. ODE of Concentration vs. Time (dc/dt) b. Initial conditions of the ODE c. Solution of the rate ODE d. Necessary time to reach a concentration of 0.011 kg/m^3.
Added by Domingo M.
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ODE of Concentration vs. Time (dc/dt): The rate of change of concentration in the tank can be expressed as: dc/dt = (1/V) * (F_in * C_in - F_out * C) where: - dc/dt is the rate of change of concentration in kg/m^3 per second - V is the volume of the tank in Show more…
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