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Q.

If sodium sulfate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of water $(Δ T_{f})$ , when 0.01 mole of sodium sulfate is dissociated in 1 kg of water, is : $(Kr = 1.86 K kg {mol}^{- 1})$

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a

0.0558 K

b

0.0744 K

c

0.0372 K

d

0.0186 K

answer is B.

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Detailed Solution

${Na}_{2} {SO}_{4} \to 2 {Na}^{+} + {SO}_{4}^{2 -}$

Vant Hoff's factor (i) for ${Na}_{2} {SO}_{4} = 3$

${ΔT}_{f} = i \times K_{f} \times m$

$Δ T_{f} = 3 \times 1.86 \times 0.01 = 0.0558 K$

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If sodium sulfate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of water ΔTf, when 0.01 mole of sodium sulfate is dissociated in 1 kg of water, is : (Kr= 1.86 K kg mol-1)