Answer : Carbon tetrachloride, [tex]k_f=29.9^oC/m[/tex] will show the greatest freezing point lowering.
Explanation :
For non-electrolyte solution, the formula used for lowering in freezing point is,
[tex]\Delta T_f=k_f\times m[/tex]
where,
[tex]\Delta T_f[/tex] = lowering in freezing point
[tex]k_f[/tex] = molal depression constant
m = molality
As per question, the molality is same for all the non-electrolyte solution. So, the lowering in freezing point is depend on the [tex]k_f[/tex] only.
That means the higher the value of [tex]k_f[/tex], the higher will be the freezing point lowering.
From the given non-electrolyte solutions, the value of [tex]k_f[/tex] of carbon tetrachloride is higher than the other solutions.
Therefore, Carbon tetrachloride, [tex]k_f=29.9^oC/m[/tex] will show the greatest freezing point lowering.
