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K p for the reaction CuSO 4 · 3 H 2 O s + 2 H 2 O g → CuSO 4 · 5 H 2 O s is 1 · 0 × 1 0 4 atm - 2 at certain temperature. What lowest relative humidity of air can be achieved using C u S O 4 .3 H 2 O as drying agent at that temperature ? Aqueous tension at the given temperature = 16 torr

Options

  1. A20%
  2. B30%
  3. C47.5%
  4. D50%

Correct answer

C. 47.5%

Step-by-step solution

CuSO 4 · 3 H 2 O s + 2 H 2 O g ⇌ CuSO 4 · 5 H 2 O g K p = 1 p H 2 O g 2 = 1 × 1 0 4 atm - 2 p H 2 O g = 1 × 1 0 - 2 atm = 7 · 6 mm of Hg Relative Humidity of Air in Environment = 7 · 6  m m 1 6  m m = 4 7 · 5 %

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