The two isomers X and Y with the formula Cr(H2O)5ClBr2 were taken for experiment on depression in freezing point. It was found that one mole of X gave depression corresponding to 2 moles of particles and one mole of Y gave depression due to 3 moles of particles. The structural formulae of X and Y respectively are

Question

The two isomers X and Y with the formula Cr(H2O)5ClBr2 were taken for experiment on depression in freezing point. It was found that one mole of X gave depression corresponding to 2 moles of particles and one mole of Y gave depression due to 3 moles of particles. The structural formulae of X and Y respectively are (A)  [Cr(H2O)5Cl]Br2;[Cr(H2O)4Br2]Cl.H2O  (B)  [Cr(H2O)5Cl]Br2;[Cr(H2O)3ClBr2.2H2O]  (C)  [Cr(H2O)5Br]BrCl;[Cr(H2O)4ClBr]Br.H2O  (D)  [Cr(H2O)5Cl]Br2;[Cr(H2O)4ClBr]Br.H2O

Tardigrade Admin · Accepted Answer

One mole of X gave depression corresponding to 2 moles of particles, ie., on ionization X gives 2 moles of ions, thus it contains only one ion outside the coordination sphere and its structural formula is

[C r (H_{2} O)_{4} B r_{2}] Cl . H_{2} O

While Y gives 3 moles of ions, so it contains two ions outside the coordination sphere and its structural formula is

[C r (H_{2} O)_{5} Cl] B r_{2}

[C r (H_{2} O)_{4} B r_{2}] Cl . H_{2} O i o ni s a t i o n

2 i o n s [C r (H_{2} O)_{4} B r_{2}]^{+} + C l^{-} + H_{2} O

[C r (H_{2} O)_{5} Cl] B r_{2} i o ni s a t i o n 3 i o n s [C r (H_{2} O)_{5} Cl]^{2 +} + 2 B r^{-}

$[C r (H_{2} O)_{5} Cl] B r_{2}; [C r (H_{2} O)_{4} B r_{2}] Cl . H_{2} O$

$[C r (H_{2} O)_{5} Cl] B r_{2}; [C r (H_{2} O)_{3} ClB r_{2} .2 H_{2} O]$

$[C r (H_{2} O)_{5} B r] B r Cl; [C r (H_{2} O)_{4} ClB r] B r . H_{2} O$

$[C r (H_{2} O)_{5} Cl] B r_{2}; [C r (H_{2} O)_{4} ClB r] B r . H_{2} O$

$[C r (H_{2} O)_{4} B r_{2}] Cl . H_{2} O; [C r (H_{2} O)_{5} Cl] B r_{2}$

[Cr(H2​O)5​Cl]Br2​;[Cr(H2​O)4​Br2​]Cl.H2​O

[Cr(H2​O)5​Cl]Br2​;[Cr(H2​O)3​ClBr2​.2H2​O]

[Cr(H2​O)5​Br]BrCl;[Cr(H2​O)4​ClBr]Br.H2​O

[Cr(H2​O)5​Cl]Br2​;[Cr(H2​O)4​ClBr]Br.H2​O

[Cr(H2​O)4​Br2​]Cl.H2​O;[Cr(H2​O)5​Cl]Br2​

$[C r (H_{2} O)_{5} Cl] B r_{2}; [C r (H_{2} O)_{4} B r_{2}] Cl . H_{2} O$

$[C r (H_{2} O)_{5} Cl] B r_{2}; [C r (H_{2} O)_{3} ClB r_{2} .2 H_{2} O]$

$[C r (H_{2} O)_{5} B r] B r Cl; [C r (H_{2} O)_{4} ClB r] B r . H_{2} O$

$[C r (H_{2} O)_{5} Cl] B r_{2}; [C r (H_{2} O)_{4} ClB r] B r . H_{2} O$

$[C r (H_{2} O)_{4} B r_{2}] Cl . H_{2} O; [C r (H_{2} O)_{5} Cl] B r_{2}$