The elevation of boiling point of $0.10 m$ aqueous $C r C 1_{3} . x N H_{3}$ solution is two times that of $0.05 m$ aqueous $C a C l_{2},$ solution. The value of $x$ is _______ [Assume $100 %$ ionisation of the complex and $C a C l_{2}$ , coordination number of $C r i s 6$ , and that all $N H_{3}$ molecules are present inside the coordination sphere]

5.0

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5.00

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Solution

Molality of $C a C l_{2}$ solution $= 0.05 m$

$Δ T_{b} = i K_{b} m = 3 \times K_{b} \times 0.05 = 0.15 K_{b}$

Moltality of $C r C l_{3} . x N H_{3} = 0.10 m$

$Δ T_{b}^{'} = i K_{b} \times 0.10; Δ T_{b}^{'} = 2 Δ T_{b}$

$i K_{b} \times 0.10 = 2 \times 0.15 \times K_{b} \Rightarrow i = 3$

Since, Co-ordination number of $C r i s 6$ .

$∴ the complex is [C r (N H_{3})_{5} C l) C l_{2}$

$∴ x = 5$

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