1. In a second-order linear process control system, the pressure value changes from 0 to 50 PSI values in 4 seconds with a transient period ends at 3 seconds. If the maximum overshoot in this pressure control system is 10%, Find out the peak pressure value that the system was reached to? Assume that the system in Question 1 has a rise time of 2 seconds, Also assume that the pressure value at 0.5 sec is 5PSI. What is the pressure value of the system in PSI at 2.5 seconds?

Centrifugal pumps are the most commonly used in process industries. a rotodynamic pump in its simplest form consists of an impeller rotating inside a casing. the rotation of the impeller imparts a high-velocity head (or fluid height h=p /pg) to the fluid and converts this to an increased pressure upon discharge. centrifugal pumps are used for lower pressures and can deliver liquid at uniform pressure without shocks or pulsations. a fluid (p 790 kg/m3) is directed through a cylindrical pipe (di 10.0 cm) into a reciprocating pump and is discharged through another cylindrical pipe with diameter of 20.0 cm. if the initial average hydraulic velocity of the fluid is 12.5 m/s, find (a.) the initial volumetric flow rate of the fluid in m/min, (b.) the mass flow rate of the fluid in kg/min, (c.) the final volumetric flow rate of the fluid in m/min and (d.) the fluid velocity within the second pipe in m/s. provide all assumptions.