A very dilute saturated solution of a sparingly soluble salt A₃B₄ has a vapor pressure of 20 mm of Hg at temperature TK, whereas pure water has a vapor pressure of 20.0126 mm of Hg at the same tempera

Question

A very dilute saturated solution of a sparingly soluble salt A₃B₄ has a vapor pressure of 20 mm of Hg at temperature TK, whereas pure water has a vapor pressure of 20.0126 mm of Hg at the same temperature.

Find the value of $x$ if the solubility product constant ( $K_{s p}$ ) of A₃B₄ at the same temperature is $1 \times 1 0^{- 13}$ .

TestHub · Accepted Answer

i for A 3 ​ B 4 ​ = 7 P A o ​ P A o ​ − P ​ = i n H 2 ​ O ​ n solute ​ ​ = i 1000 n H 2 ​ O ​ × 18 ​ × 1000 n solute ​ × 18 ​ = 1000 i ⋅ m × 18 ​ m = ( P A o ​ P A o ​ − P ​ ) 18 1000 ​ ( i 1 ​ ) = 7 1 ​ × 18 1000 ​ × 20 ( 20.0126 − 20 ) ​ m = 7 × 18 × 20 12.6 ​ = 0.005 For very dilute solutions, molality = molarity. ∴ K s p ​ = 3 3 × 4 4 × s 7 = 6912 s 7 = 6912 × ( 5 × 1 0 − 3 ) 7 = 5.4 × 1 0 − 13 ∴ x = 5.4

Chemistry - Liquid Solution Question with Solution | TestHub

Doubts & Discussion