Q.

A solution of 1.25 g of P in 50 g of water lowers the freezing point of water by 0.3oC. Molar mass of P is 94.Kfwater=1.86 K kg mol-1.' The degree of association of P in water is

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a

80%

b

60%

c

65%

d

75%

answer is A.

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Detailed Solution

Step I Calculation of van't Hoff factor for P             ΔTf=i×Kf×m=i×Kf×w2×1000w1×M20.3=i×1.86×1.25×100050×94⇒ i=0.3×50×941.86×1.25×1000=0.6064Step II Calculation of degree of association of P Degree of association,α            =i−11n−1=0.6064−112−1=−0.3936−0.5=0.7872=78.72%≈80%
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