GATE PI 2023 Paper 1 — page 21

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

In an ideal air-standard Brayton cycle, air enters the compressor at 100 kPa and 300 K. Thermal efficiency of the cycle is 50 %. The heat added to air is 100 kJ/kg. Air has constant specific heat

kJ/(kg-K) and

. Air temperature, in K, at the turbine inlet is _____ (round off to 2 decimal places).

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A key of width and height of 6 mm each is used to fix a gear on a shaft of 20 mm diameter. The shaft is used to transmit 10 kW power at 600 rpm to the gear. Permissible shear stress in the key is 80 N/mm², while compressive stress in the key is neglected. The minimum length of the key, in mm, is _____ (round off to 2 decimal places).

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A cylindrical casting has 10 cm diameter and a mass of 12.56 kg. The material density is 7.85 × 10⁻³ kg/cm³. The value of exponent ‘n’ is 2 and solidification time is 12 min. The Chvorinov’s constant, in min/cm², is _____ (round off to 2 decimal places).

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2023 · Paper 1

Question 61

Question 62

Question 63