GATE 2026 Chemical Engineering, Q38 · Mass Transfer
The correct answer is B, 294.
Question
Vapor pressure of water: 284 K → 1.28 kPa, 289 K → 1.80 kPa, 294 K → 2.50 kPa, 299 K → 3.40 kPa, 310 K → 6.40 kPa. An air and water vapor mixture at 100 kPa with a relative humidity of 20% has a dry-bulb temperature of 310 K. Assume latent heat of vaporization for water is 44 kJ and specific heat capacity of the air and water vapor mixture is 0.035 kJ Which one of the following is closest to its wet-bulb temperature (in K)?
Official answer: 294
Why
GATE 2026 official key: (B). Balancing the latent-heat driving force against the sensible-heat cooling with the given vapor-pressure data gives a wet-bulb temperature of about 294 K.
Explanation cross-checked for consistency. Final answer matches the official IIT answer key.