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Find the minimum of the function f(𝒙) = 0.65 – 𝟎.𝟕𝟓 𝟏+𝒙𝟐 - 065𝒙 𝐭𝐚𝐧−𝟏 𝟏 𝒙 Use Quasi Newton method with the starting point 𝒙𝟏 = 𝟎. 𝟏 and step size ∆𝒙 = 0.01 in central difference formula use ε = 0.01 for checking the convergence.
A fluid of constant density ρ is pumped into a cone-shaped tank of total volume H 𝜋R2/3. The flow out of the bottom of the tank is proportional to the square root of the height h of liquid in the tank. Derive the equations describing the system.
Assuming each reaction is linearly dependent on the concentrations of each reactant, derive a dynamic mathematical model of the system. There are two feed streams, one pure benzene and one concentrated nitric acid (98 wt %). Assume constant densities and complete miscibility.
A manufacturer produces three types of plastic fixtures. The time required for molding, trimming, and packaging is given in Table. (Times are given in hours per dozen fixtures). Use simplex method and find how many dozen of each type of fixture should be produced to obtain a maximum profit? Process Type A Type B Type C Total time available Molding 1 2 2 12000 Trimming 2 3 2 3 1 4600 Packaging 1 2 1 3 1 2 2400 Profit Rs. 11 Rs. 16 Rs. 15 -
Explain the fundamental laws of physics and chemistry with their applications to simple chemical systems.
Using Hooke-Jeeves method minimize Z = f(x,y) = (x²+y-11)² + (x+y²-7)². Take initial point x(0) = (x(0), y(0)) = (0,0) and increment vector ∆ = (0.5 , 0.5).
Use Lagrange Multipliers to find the global maximum and minimum values of f(x,y) = x² + 2y² - 4y subject to constraint x² + y² = 9.
𝒘 = 𝒙 𝐬𝐢𝐧(𝒚) + 𝒚2 + 𝒙𝒚𝒛 + 𝒛
Define the different measures of profitability/economic performance along with their significance.
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BE Chemical
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Official Gujarat Technological University (GTU) examination paper for Process Modelling, Simulation and Optimization (Summer 2025, 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.
3170513 Process Modelling, Simulation and Optimization
Official GTU PDF · Summer 2025
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