How to use state functions to estimate the thermodynamic status of a system?

What is the steady state output of the given transfer function. (s +1)(s +2)

The time constant and the steady-state gain for the following transfer function (G(s)=1/(4s+1)) will be

Solve correctly please. Will give helpful ratings for correct ans. The perfectly mixed constant volume tank has two input streams containing the same liquid. The temperature and flow rate of each stream can change over time. Derive the dynamic model expressing the system.

A tank used to correct for fluid flow rate fluctuations is known to exhibit a second order dynamic behavior. Flow rate of the feed into the tank. it suddenly changes from 0.18m^3/ min to 0.22 m^3/min and the tank height from 8m at the beginning reaches 14m. The process engineer noted the tank level to be 8 m before the step change, 18 m 5 minutes after the step and 14 m 60 minutes after the step. Answer the following questions by drawing a graph. a) Calculate the process gain. b) Calculate the time constant. c) Calculate the damping coefficient. d) Calculate the maximum deviation. e) Calculate the damping ratio .f) Calculate the oscillation period. g) Construct the transfer function of the process.

Please answer correctly

Discuss which thermodynamic quantities can be looked at to determine a process or a chemical reaction will take place voluntarily and what shall apply to these thermodynamic quantities. Specify e.g. by which conditions it applies and why one can look at the thermodynamic quantities that you mention.

In the BP method, which of the MESH equations is used to compute a new set of total molar vapor flow rates leaving each stage?

Q.2 Consider an ideal binary distillation column shown in [Figure.4]. The system possesses six degree of freedom. How do you reduce the number of degrees of freedom to zero so that you can have a completely specified system with unique behavior? Cooling water Distillate product Feed Steam Bottoms product Figure.4

Is it true that the Final Value Theorem provides a shortcut solution in predicting the dynamic behavior of a process? Please explain.