Describe any one chemical process simulator and its salient features.
[3 marks]Describe briefly the fundamental laws used in mathematical models of chemical engineering systems.
[4 marks]Atank contains 10 lit. of fresh water at time (t = 0), brine having a concentration of 10 kg/m3 of salt is feed into the tank at a rate of 0.5 lit/min. The mixture is kept uniform by mixing. The output from the tank is 0.4 lit/min. Evaluate the volume of water in the tank when the concentration inside the tank is 25% of that of inlet.
[7 marks]Differentiate between deterministic and stochastic models.
[3 marks]Develop a batch reactor model.
[4 marks]Use the simplex method to find the maximum value of Z = 2x – x +2x (Objective function)123 subject to the constraints
[7 marks]Afirm produces two goods, x and y. Due to a government quota, the firm must produce subject to the constraint x + y = 42. The firm’s cost functions is c(x, y) = 8x2 − xy + 12y2 Maximize the function using lagrangian method. .
[7 marks]Classify the methods to solve unconstrained multivariable problems.
[3 marks]Discuss the optimization of pipe diameter.
[4 marks]Give a detail classification of models.
[7 marks]Differentiate sequential modular approach and simultaneous modular approach.
[3 marks]Explain the application of optimization in fitting vapor-liquid equilibrium data.
[4 marks]Describe any one chemical process simulator and its salient features.
[7 marks]Define: feasible region, global minimum, convex region.
[3 marks]Explain Simplex algorithm for linear programming.
[4 marks]Discuss the optimizing recovery of waster heat with suitable figure and equations.
[7 marks]Explain the penalty methods for solving nonlinear programming with constraints.
[3 marks]Write short note on decomposition of networks.
[4 marks]Explain mathematical modeling of ideal binary distillation column.1
[7 marks]State objective functions in terms of the adjustable variable for chemical reactor.
[3 marks]Explain random search and grid search method for unconstrained multivariable optimization.
[4 marks]What are the applications of optimization in chemical process and plants? Explain any one in detail with example.
[7 marks]Compare linear and non linear model.
[3 marks]Write a note on the transport equations used for modeling.
[4 marks]What is a linear programming problem? State the linear programming in standard form and write down its application in chemical industries.
[7 marks]