3. Consider a well-stirred tank contains a liquid volume V with in initial solute concentration c0. An inlet stream delivers a volumetric flow rate V of the liquid, with an inlet solute concentration cin, to the tank. A drainpipe removes liquid from the tank. If the solute concentrations are dilute enough that density is constant throughout the system, and if the inflow and outflow rates keep the volume in the tank constant, perform the following analyses: (a) Perform material balances to derive a symbolic expression for how the solute concentration in the tank, c, changes with time. (b) If V=25m3,V=1m3/min,c0=4g/m3, and cin=10g/m3, calculate the time needed for the solute concentration in the tank to reach a value 93% of the inlet concentration. Solve both algebraically and by employing a numerical method