At equilibrium the concentration of water in vapour phase (C*) in kg/m3 of air space and the amount of water (m) adsorbed per kg of dry silica gel are related by, C* = 0.0667m. To maintain dry conditions in a room of air space 100m3 containing 2.2 kg of water vapour initially, 10 kg of dry silica gel is kept in the room. The fraction of initial water remaining in the air space after a long time (during which the temperature is maintained constant) is_________________?

Correct answer: C. 0.4

  • A. 0.0
  • B. 0.2
  • C. 0.4
  • D. 1.0

Explanation

At equilibrium, the remaining air-phase water is 100C, while the gel holds 10(C/0.0667) kg. Solving 2.2 = 100C + 10(C/0.0667) gives an air-phase fraction of about 0.40, so option c is correct.

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