The vapor pressure of pure benzene and methyl benzene at $27^{\circ} \mathrm{C}$ is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapor phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is _________ $\times 10^{-2}$ (nearest integer)

Mass of Urea $\left(\mathrm{NH}_{2} \mathrm{CONH}_{2}\right)$ required to be dissolved in of water in order to reduce the vapour pressure of water by is _________ g. (Nearest integer)

80 mole percent of $\mathrm{MgCl}_{2}$ is dissociated in aqueous solution. The vapour pressure of $1.0 ~\mathrm{molal}$ aqueous solution of at is ____________

A gaseous mixture of two substances A and B, under a total pressure of $0.8$ atm is in equilibrium with an ideal liquid solution. The mole fraction of substance A is $0.5$ in the vapour phase and $0.2$ in the liquid phase. The vapour pressure of pure liquid $\mathrm{A}$ is __________ atm. (Nearest integer)

When a certain amount of solid A is dissolved in $100 \mathrm{~g}$ of water at $25^{\circ} \mathrm{C}$ to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of pure water is . The number of moles of solute A added is _____________. (Nearest Integer)

The vapour pressures of two volatile liquids A and B at 25$^\circ$C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is ${x \over {17}}$. The value of x is ______________.

Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at 100.15$^\circ$C. When 0.2 mol of NaCl is added to the resulting solution, it was observed that the solution froze at $-0.8^\circ$ C. The solubility product of PbCl formed is __________ 10 at 298 K. (Nearest integer)

An artificial cell is made by encapsulating $0.2 \mathrm{~M}$ glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a $0.05 \mathrm{~M}$ solution of $\mathrm{NaCl}$ at is ________ bar. (nearest integer).

An aqueous solution of volume $300 \mathrm{~cm}^{3}$ contains $0.63 \mathrm{~g}$ of protein. The osmotic pressure of the solution at is 1.29 mbar. The molar mass of the protein is ___________

A 0.166 g sample of an organic compound was digested with conc. H₂SO₄ and then distilled with NaOH. The ammonia gas evolved was passed through 50.0 mL of 0.5 N H₂SO₄. The used acid required 30.0 mL of 0.25 N NaOH for complete neutralization. The mass percentage of nitrogen in the organic compound is ____________.