"\\Delta T_f=" "i*" "m*K_f" ...............(1)
where ΔTf is the freezing point depression,i is the vanhoff's factor, m is the molality of the solute and Kf is the freezing point depression constant
here value of Kf for water is 1.86 , m is 0.1
now calculating value of i
As potassium sulfate solution will undergo 100 % dissociation
"K_2SO_4\\iff2K^++SO_4^{2-}"
so total 3 ions are formed on 100 % dissociation so value of i =3
Substituting these values in the equation (1)
we get "\\Delta T_f=3*0.1*1.86=0.558 \\ ^0C"
freezing point ="T_f -\\Delta T_f" ="(0-0.558)^0C=-0.558^0C"
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