What is the exam pattern and passing mark for GTU Process Modelling, Simulation and Optimization (3170513)?

The GTU theory examination carries 70 total marks with a duration of 2.5 Hours. Minimum passing criteria is 23 marks (33%). The paper consists of 5 main questions with official marking breakdown and internal choices.

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Gujarat Technological UniversitySummer 2026 examination

GTU 3170513 Process Modelling, Simulation and Optimization Summer 2026 Question Paper & PDF

B.E. · Chemical Engineering · Semester 7 · Subject code 3170513

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Total: 70 marks
To pass: 23 marks (33%)
Duration: 2.5 Hours 2:30 PM – 5:00 PM
Questions: 5 with internal choice

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Q.1

14 Marks

(a)

3 marks

List the various professional simulators used in chemical engineering.

(b)

4 marks

Describe briefly the fundamental laws used in mathematical models of chemical engineering systems.

(c)

7 marks

Explain the steps for solving optimization problems. Enlist the general obstacles faced while solving optimization problems.

Q.2

14 Marks

(a)

3 marks

Define: black-box model, white box model, gray model.

(b)

4 marks

Differentiate between design mode and analysis mode in process simulation with a diagram.

(c)

7 marks

Discuss the role of optimization in design and operation of binary distillation column with a focus on optimum reflux ratio.

(c)

7 marks

A closed cylindrical vessel can hold 20π m3 of liquid. The material for the top and bottom costs $10 per m2 and material for the side costs$ 8 per m2. Find the radius and height of the most economical vessel.

Q.3

14 Marks

(a)

3 marks

Find the values of x and z (both > 0) that maximize the function:

U = -x2 + 10x + xz - z2 + 8z +

(b)

4 marks

Minimize by Newtons method and Secant method. Use the starting point in the range of -3 to +3. Compare the methods.

(c)

7 marks

Minimize the function between the interval [2, 5] using

i)Bisection search method,

ii)Golden section search method. Compare the methods.

(a)

3 marks

List the application of optimization in chemical engineering.

(b)

4 marks

Find the extreme points of the function and classify them.

(c)

7 marks

Solve the following Linear Programming Problem by Simplex method. Maximize subject to:

Q.4

14 Marks

(a)

3 marks

Elaborate the process to build a model.

(b)

4 marks

Derive the model equations for two heated tanks.

(c)

7 marks

An oven is tested for heating and the following set of time and temperature data is collected. Fit the data to the equation, where a and b are constants. t in min 1 2 3 4 5 T in 0C 12.5 21.4 31.8 42.1 53.5

(a)

3 marks

Explain Random search method for multivariable optimization and its importance.

(b)

4 marks

Minimize the function using Newtons method. Take starting point X0 = [10,10].

(c)

7 marks

Develop a model for batch reactor. State the assumptions clearly.

Q.5

14 Marks

(a)

3 marks

Differentiate between steady state versus dynamic simulation.

(b)

4 marks

Explain equation solving approach with an example.

(c)

7 marks

Develop a model for mixing tank. State the assumptions.

(a)

3 marks

Write short note on decomposition of networks.

(b)

4 marks

Minimize subject to using Lagrange multiplier method.

(c)

7 marks

Write about partition and tearing applied to process flow sheeting. Explain any tearing algorithm with a flowchart. Write the steps clearly.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Process Modelling, Simulation and Optimization (Summer 2026, B.E. · Chemical Engineering, Sem 7). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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