GATE XE 2025 Paper 1 — page 51

Questions 151–153 of 175. Imported answers require review unless explicitly marked reviewed.

Consider that specific heat (0 to 50 °C) of water, water vapor and air remains constant: 4.48, 1.88 and 1.0 kJ/ (kg °C), respectively. Assuming, the heat energy required to convert 1 kg of water to water vapour at 0 °C is 200 kJ, the enthalpy (in kJ/ kg dry air) of atmospheric air containing 0.05 kg water vapour per kg dry air at 50 °C is ____.(rounded off to 1 decimal place)

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A fruit juice is concentrated using an ultrafiltration membrane. A feed stream at 10 kg/min with 6% total solids (by weight) is increased to 20% total solids (by weight). The membrane tube has 10 cm inside diameter and the pressure difference across the membrane is 2000 kPa. If the permeability constant of the membrane is 5 × 10⁻⁵ kg water/ (m² kPa s), the length of membrane tube (in m) is_____. (rounded off to 2 decimal places)

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In a typical grinding operation, 80% of the feed material passes through a sieve opening of 4.75 mm; whereas, 80% of the ground product passes through 0.5 mm opening. If the power required to grind 2 tonnes/h of the feed material is 3.8 kW, the work index of the material is _____. (rounded off to 2 decimal places)

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2025 · Paper 1

Question 151

Question 152

Question 153