Q2 / 97 · NTA Abhyas (JEE Main) 2020 · Chemistry · Solutions

0.002 molal aqueous solution of an ionic compound with moleciular formula Co(NH 3 ) 5 NO 2 Cl freezes at -0.00744∘C . How many moles of ions does 3 moles of the salt produce on being dissolved in water?
[Given: K f of water =1.86 K kg  mol −1 ]

Correct answer: 6

Solution

(ΔT f ) = i ×  k f  × m
(ΔT f ) = i ×  k f  × Molality
0.00744 = i × 1.86 × 0.002
i≅2
⇒i = 1 + α(n−1)
⇒2 = 1 + 1(n−1)
⇒n−1 = 1
∴ n=2
∴ number of ions produced from 3 moles of compound = 2×3=6

Hence, the correct answer is 6.

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