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
= 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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