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GATE 2026 AG – Question 46

Agricultural Process Engineering · Evaporation and Drying · 2 marks · Multiple choice

At 60°C dry-bulb temperature, saturated water-vapor pressure is 20 kPa and relative humidity 20%. Atmospheric pressure is 101.325 kPa. Molecular masses of water and dry air are 18.02 and 28.97 g/mol. Find the nearest absolute humidity ratio in kg water/kg dry air.

  1. 0.026
  2. 0.032
  3. 0.004
  4. 0.041

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Correct answer: (A) 0.026

Explanation

Vapor partial pressure is $p_v=\phi p_{vs}=.20(20)=4$ kPa. The humidity ratio is $w=(M_w/M_a)p_v/(P-p_v)=(18.02/28.97)4/(101.325-4)=0.02556$ kg/kg. The nearest choice is **0.026,A**. This uses the mass-of-water per mass-of-dry-air convention intended by the options.

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