Q43 / 220 · NTA Abhyas (NEET) 2020 · Chemistry · Ionic Equilibrium

In a saturated solution of the sparingly soluble strong electrolyte AgIO3 ( molecular mass = 283 ) the equilibrium which sets in is
AgIO 3 s ⇌ Ag + aq + IO 3 − aq
If the solubility product constant Ksp of AgIO3 at a given temperature is 1 · 0 × 1 0 - 8 , what is the mass of AgIO3 contained in 100 ml of its saturated solution ?

  • A
    1 · 0 × 1 0 - 4 g
  • B
    2 8 · 3 × 1 0 - 2 g
  • C
    1 · 0 × 1 0 - 7 g
  • Correct answer
    D
    2 · 8 3 × 1 0 - 3 g

Solution

AgIO 3 ⇌ Ag + + IO 3 -  [ S = Solubility ]

                 S         S
  Ksp = S2

Or,  S 2 = 1 · 0 × 1 0 - 8

S  = 1 · 0 × 1 0 - 4 mol / it

    = 1 · 0 × 1 0 - 4 × 2 8 3 g / lit

   = 2 8 · 3 × 1 0 - 4 gm / 100 ml

= 2 · 8 3 × 1 0 - 3 gm / 100 ml

Hence, the correct answer is option: 'D'.

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