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2003 & 1997 Course Process Modeling & Optimization

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Total No. of Questions : 12] P1852 [Total No. of Pages : 3 [3764]- 295 B.E. (Instrumentation) PROCESS MODELING AND OPTIMIZATION (1997 & 2003 Course) (406270) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answer three questions from each section as per the instructions. 2) Answers to the two sections should be written in separate answer books. 3) Neat diagrams must be drawn, wherever necessary. 4) Figures to the right indicate full marks. 5) Use of electronic pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) Derive the model of the field controlled DC shunt motor. [8] b) Fit the following data to the model y = a0 + a1x + a2x2 using Lagrange interpolation formula. [8] x 1 3 6 8 y 9.8 13.0 9.1 0.6 OR Q2) Fit the following data to the model y = a0 + a1x + a2x2 using least square method. [16] x 20 20 30 40 40 50 50 60 70 y 73 78 85 90 91 87 86 90 65 Q3) Develop the model of the ideal distillation column. [16] OR Q4) Develop the model of the non isothermal CSTR with first order reaction dynamics for the reaction. [16] A k B P.T.O.

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