Mole ConceptHard

Question

1.2575 g sample of [Cr(NH3)6]SO4Cl(Mw = 251.5) is dissolved to prepare 250mL solution showing and osmotic pressure of 1.478 atm of Hg at 27oC. Which of the following statements is/are correct about this solution?

Options

A.Each molecule furnishes three ions in solution.
B.The Van′t Hoff factor is = 3.
C.The equilibrium molarity of [Cr(NH3)6]SO4Cl = 0.
D.The equilibrium molarity of [Cr(NH3)6]3+ = 0.02 M.

Solution

Molarity  = 0.02 M, π = CRT
∴  πobs = 0.02 ×  0.0821 ×  300 = 0.4926 atm
  = i = = 3
 ∵ α =   and  = 1
∴  n = 3
Also,
[Cr(NH3)6]SO4.Cl  ⇋ [Cr(NH3)63+] + SO42- + Cl-
                        0.02                    0                  0            0
Eq conc              0                      0.02            0.02       0.02

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