GATE CH 2025 Paper 1 — page 21

Questions 61–63 of 65. Imported answers require review unless explicitly marked reviewed.

Methanol is produced by the reversible, gas-phase hydrogenation of carbon monoxide as

and

are charged to a reactor and the reaction proceeds to equilibrium at 453 K and 2 atm. The reaction equilibrium constant, which depends only on the temperature, is 1.68 at the reaction conditions. The mole fraction of

in the product is 0.4. Assuming ideal gas behaviour, the mole fraction of methanol in the product is ____ (rounded off to 2 decimal places).

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The block diagram of a series cascade control system (with time in minutes) is shown in the figure. For

min and

, the maximum value of

, below which the cascade control system is stable, is ____ (rounded off to the nearest integer).

Diagram for Chemical Engineering question 62

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It is proposed to install thermal insulation in a residence to save on the summer-monsoon season air-conditioning costs. The estimated yearly saving is 20 thousand rupees. The cost of installation of the insulation is 150 thousand rupees. The life of the insulation is 12 years. For a compound interest rate of 9% per annum, the minimum salvage value of the insulation for which the proposal is competitive, is ____ thousand rupees (rounded off to nearest integer).

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2025 · Paper 1

Question 61

Question 62

Question 63