5. Transient behavior of a stirred tank-E. The well-stirred tank of volume V = 2 m3 shown in Fig. P2.5 is initially filled with brine, in which the initial concentration

of sodium chloride at t = 0 is co = 1 kg/m³. Subsequently, a flow rate of Q =0.01 m /s of pure water is fed steadily to the tank, and the same flow rate of brine leaves the tank through a drain. Derive an expression for the subsequent concentration of sodium chloride c in terms of co, t, Q, and V. Make a sketch of c versus t and label the main features. How long (minutes and seconds)will it take for the concentration of sodium chloride to fall to a final value of Cf = 0.0001 kg/m³?