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Chemistry Question on Solutions

A 0.5 percent solution of potassium chloride was found to freeze at –0.24°C. The percentage dissociation of potassium chloride is ______. (Nearest integer)
(Molal depression constant for water is 1.80 K kg mol–1 and
molar mass of KCl is 74.6 g mol–1)

Answer

ΔTf=iKbmΔT_f=iK_bm
i=(0.24×99.5×74.6)(1.80×0.5×1000)=1.98i=\frac {(0.24×99.5×74.6)}{(1.80×0.5×1000)}=1.98
i=1.98i=1.98
The dissociation of potassium chloride
α=i1n1α=\frac {i-1}{n-1}
α=0.981α=\frac {0.98}{1}
α=0.98α=0.98
The percentage dissociation of potassium chloride 9898.

So, the answer is 9898.