To `500 cm^(3)` of water, `3 xx 10^(-3) kg` of acetic acid is added. If `23%` of axcetic acid is dissociated wha will be the depression in freezing point? `K_(f)` and density of water are `1.86 K kg^(-1) mol^(-1)` and `0.997 g cm^(-3)` respectively.

Answer

0.229

Explanation

`W_("water")=500xx0.997"gm"=498.5"gm"`
for dissociation
`DeltaT_("f")=[1+(n-1)alpha]K_(f)xx(W_("solute")xx1000)/(m_("solute")xxW_("solvent"))=[1+(n-1)alpha]xx(1.86xx3xx1000)/(60xx498.5)`
`DeltaT_(f)=0.229`