GATE CH year:2023 PYQs & Answers — Page 7 — Exam Papers

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

The outlet concentration

of a plug flow reactor (PFR) is controlled by manipulating the inlet concentration

. The following transfer function describes the dynamics of this PFR.

In the above equation,

m

,

m

min

and

min

. The measurement and valve transfer functions are both equal to 1. The ultimate gain, defined as the proportional controller gain that produces sustained oscillations, for this system is _____ (rounded off to one decimal place).

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The transfer function of a measuring instrument is

At time

, a step change of +1 unit is introduced in the input of this instrument. The time taken by the instrument to show an increase of 1 unit in its output is _____ (rounded off to two decimal places).

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A design engineer needs to purchase a membrane module (M) for a plant. Details about the two available options, M1 and M2, are given in the table below. The overall plant has an expected life of 7 years. If the interest rate is 8% per annum, compounded annually, the difference in the net present value (NPV) of these two options, in lakhs of rupees, is _____ (rounded off to one decimal place).

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The purchase cost of a new distillation column is Rs. 10 lakhs with an installation factor of 5.8. The cost of the capital is to be annualized over a period of 6 years at a fixed rate of interest of 5 % per annum, compounded annually. The annual cost (in lakhs of rupees) of the installed capital is ______ (rounded off to one decimal place).

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Pumps

and

are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is 10 % per annum, compounded annually. For both the pumps to have the same capitalized cost, the salvage value (in Rs.) of pump B should be _____ (rounded off to the nearest integer).

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