The $K_f$ of $1,4-dioxane$ is $4.9 \, K \, kg \, mol^{-1}$. The depression in freezing point for a $0.001 \, m$ solution in dioxane is

If molality of the dilute solution is doubled,the value of molal depression constant $(K_f)$ will be

Calculate the cryoscopic constant $(K_f)$ of a solvent when $2.5 \ g$ of a solute is dissolved in $35 \ g$ of the solvent,which lowers its freezing point by $3 \ K$. (Molar mass of the solute is $117 \ g \ mol^{-1}$)

Which of the following aqueous solutions exhibits the lowest freezing point depression, assuming complete dissociation?

$A$ solution of $5 \ g$ nonvolatile solute in $50 \ g$ water decreases its freezing point by $0.2 \ K$. Calculate the molar mass of solute if $K_{f}$ of water is $1.86 \ K \ kg \ mol^{-1}$.

An aqueous solution of a weak monobasic acid containing $0.1 \text{ g}$ in $21.7 \text{ g}$ of water freezes at $272.813 \text{ K}$. If the value of $K_f$ for water is $1.86 \text{ K kg/mol}$,what is the molecular mass of the monobasic acid in $\text{g/mol}$?