0 .002 molal aqueous solution of an ionic compound with moleciular formula Co(NH 3 ) 5 NO 2 Cl freezes at - 0.0074 4 ∘ 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 ]

Step-by-step 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