The mass flow rate at the inlet of a one-inlet, one-exit control volume varies with time according to where m1=100 (1- e^-2t) has units of kg/h and t is in h. At the exit, the mass flow rate is constant at 100 kg/h. The initial mass in the control volume is 50 kg. a. Plot the inlet and exit mass flow rates, the instantaneous rate of change of mass, and the amount of mass contained in the control volume as a function of time, for t ranging from 0 to 3 h. b. Estimate the time , in h, when the tank is nearly empty