Calculate the van't Hoff factor of a centimolar solution of potassium ferrocyanide if it is $60\%$ dissociated at $300$ K.

$5$ g urea is dissolved in $100$ g water. Find the amount of glucose to be dissolved in $120$ g of water so that the boiling points of both solutions will be the same.
[Molar mass of urea $= 60$ g $\text{mol}^{-1}$ & Molar mass of glucose $= 180$ g $\text{mol}^{-1}$]

Which of the following solutes has the ratio of theoretical molar mass to the experimentally observed molar mass is $3$?

The molar conductivity of $0.01$ M monobasic acid at $25\,^\circ\text{C}$ is $15$ ohm$^{-1}$ cm$^2$ mol$^{-1}$. The molar conductivity of the same acid at infinite dilution is $375$ ohm$^{-1}$ cm$^2$ mol$^{-1}$. Calculate $[\text{H}^+]$ in solution.