Process Dynamics And Control - Engineering Assignment Help

Assignment Task

Problem-1

The liquid phase isothermal, irreversible and elementary reaction 2A - B takes place in a continuously stirred tank reactor shown below.

a. Derive a model that relates the outlet concentration to the input concentration without substituting numbers. State your assumptions.

b. Calculate the steady state outlet concentration CA

c. Derive a transfer function relating the outlet concentration to the inlet concentration without substituting numbers.

d. Write the transfer function in the standard format and determine numerical values of the steady state gain and the time constant.

e. If the inlet concentration is changed from 0.4 mol liter to 0.55 mol liter determine the transient response CA(t). What is the new steady state value CA(∞). Plot the transient solution and clearly show the old and new steady state.

Problem-2

The liquid phase exothermic, irreversible and elementary reaction 2A - B takes place in a continuously stirred tank reactor shown below.

a. Find the steady state temperature of the reactor T

b. Find the steady state value of the cooling water temperature Tc

c. Derive a transfer function relating the exit temperature (T) to the cooling water temperature (Tci).

d. Write the transfer function in standard format and describe the kind of response you obtain and determine all relevant parameters. Is the response oscillatory? explain

e. If the cooling water inlet temperature is suddenly increased by 5 degrees Celsius. What is the new steady state temperature leaving the reactor. Plot the transient solution.

Problem-3

A tank initially full of pure water and it being fed with pure water at a constant volumetric flow rate , q. The feed is suddenly switched to caustic solution at the same volumetric flow rate but with a constant concentration of C i. If the volume of the tank is constant, the following dynamic model can be derived from caustic acid component balance.

a. Derive a dynamic model for this process (ODE)

b. Write the dynamic response in the t domain and sketch your solution. How much is required for the caustic concentration to reach

Problem-4

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