The following data are available: Steady state flow rates are: fA=3minm3 and fB=3minm3. Time constant for both transmitter and control valve is 1 second. Transmitter Range: 0100C. 1- If the pressure drop across the valve is 3psi and the valve is linear characteristics, Size the control valve assume 1.5 overcapacity factors. 2- If the valve is air to open, what should be the action of the controller? 3- Develop a mathematical model for the process and obtain the process transfer function. 4- Calculate the ultimate gain of the control loop assuming proportional only controller