CEN 332 MATHEMATICAL MODELLING HOMEWORK-I A perfectly stirred tank system is given in the figure which contains solution of substance A. Initial volume of the tank is 30m3 and initial mass of A is 50kg. Assuming constant density, derive the expression that gives the change in the amount of substance A in the tank with time - Name the balance to be used and indicate the unit (5p) - Is it variable volume or constant volume system? Explain the reasons (5p) - Define each differential equation that you find (Type, order, etc.) (10p) - Indicate the independent and dependent variables for each differential equation that you derive (10p) - Remember to find all integral constants(10p) - Finding the expression that gives the change in the amount of substance A in the tank with time (30p) - Write MATLAB script for numerical solution (m-file + command window) and plot the change (15p) - Write MATLAB script for analytical solution (m-file + command window) and plot the change (15p) PS: Solutions without unit will get ZERO