A 2 m tank is being filled with water at a rate of 0.020 m/s. At a moment when the tank contains 0.8 m of water, a leak develops in the bottom of the tank. The rate of leakage (m/s) can be approximated as 0.0001 7, where t (s) is the time from the moment the leak begins. Water 0.02 m/s 2 m3 Vtank t = 0, V = 0.80 m/s V(m) Water (0.0001 t2) (m/s) (a) Write a mass balance on the tank and an expression for dVldt, where V is the volume of water in the tank at any time. Provide an initial condition for the differential equation. (b) Solve the balance equation to obtain an expression for V(t) (c) Draw a plot of V versus t (d) Calculate f in seconds when V(t) = 0