For the standard negative feedback loop P(s)=1/(s+1), C(s)=K(s+1)/s, F(s)=1 unity feedback, we would like to tune the PI controller gain K for a crossover frequency of 2 rad/s. What would be the value of K?

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.