Chemegate

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 mol1mol⁻¹ and specific heat capacity of the air and water vapor mixture is 0.035 kJ mol1K1.mol⁻¹ K⁻¹. Which one of the following is closest to its wet-bulb temperature (in K)?

  • A. 284
  • B. 294
  • C. 310
  • D. 321

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.