Calculate van't Hoff factor of $$\mathrm{K}_2 \mathrm{SO}_4$$ if $$0.1 \mathrm{~m}$$ aqueous solution of $$\mathrm{K}_2 \mathrm{SO}_4$$ freezes at $$-0.43{ }^{\circ} \mathrm{C}$$ and cryoscopic constant of water is $$1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$$.

A solution of $$5.6 \mathrm{~g}$$ non-volatile solute in $$50 \mathrm{~g}$$ solvent has elevation in boiling point $$1.75 \mathrm{~K}$$. What is the molar mass of solute $$\left(\mathrm{K}_{\mathrm{b}}=3 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)$$ ?

What is the molal elevation constant if one gram mole of a nonvolatile solute is dissolved in $$1 \mathrm{~kg}$$ of ethyl acetate? $$\left(\Delta \mathrm{T}_{\mathrm{b}}=x \mathrm{~K}\right)$$

If $$0.15 \mathrm{~m}$$ aqueous solution of KCI freezes at $$-0.511^{\circ} \mathrm{C}$$, calculate van't Hoff factor of KCI (cryoscopic constant of water is $$1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1})$$