GATE AG 2019 • Q35 NAT • 1 Mark

Section 6: Agricultural Process Engineering

Evaporation and Drying

Subtopic: Osmotic dehydration and freeze drying

Question Statement:

Evaporation and Drying: Concentration and drying of liquid foods – evaporators, tray, drum and spray dryers; osmotic dehydration and freeze drying; hydrothermal treatments; drying and milling of cereals, pulses and oilseeds; drying kinetics; psychrometry – properties of air-water vapor mixture. Air-water vapour mixture at 1 atmosphere pressure has 0.035 kg water vapour (kg dry air)⁻¹ and dry-bulb temperature of 37°C. Universal gas constant = 8.314 kJ (kg mole K)⁻¹. The humid volume (m³ (kg dry air)⁻¹) (rounded to 3 decimals) is ______.

Official Answer Key:

0.920 to 0.930

Step-by-Step Solution & Explanation

Standard psychrometric humid-volume relation (SI units): vh = (2.83×10⁻³ + 4.56×10⁻³ × W) × T, with W in kg water/kg dry air and T in Kelvin. T = 37 + 273.15 = 310.15 K; W = 0.035. vh = (0.00283 + 0.00456×0.035) × 310.15 = (0.00283 + 0.0001596) × 310.15 = 0.0029896 × 310.15 = 0.9273 ≈ 0.927 m³/kg dry air. Answer: within 0.920–0.930.

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