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hi I am here to answer problem 5.10 taken from chapter 5 the chemical engineering process and systems analysis and control book so the problem goes like this attacked having a cross-sectional area of 2 feet squared and a linear resistance of R is equal to 1 feet per cubic feet meter is operating at a steady-state with the flow rate of 1 cubic feet meter at time 0 the flow varies are shown in Figure 5 2010 so we are tasked to determine Q T and Q s by combining simple functions noting that Q is the deviation in flow rate and also obtain an expression for H T where H is the division level and determine H T at T is equal to 0 first and foremost we have to write the given 60 States a problem that it is operating at a steady state so we can easily start with the transfer function for liquid level system given by the equation five point eight which is H s over Q s is equal to R AR s plus one substituting from the given above so we have now our transfer function becomes Q s is equal to 1 over