The Total pressure observed by mixing two liquid $\mathrm{A} \text{and} \mathrm{B}$ is $350 \mathrm{mm} \mathrm{Hg}$ when their mole fractions are $0.7 \text{and} 0.3$ respectively. The Total pressure becomes$410 \mathrm{mm} \mathrm{Hg}$ if the mole fractions are changed to$0.2 \text{and} 0.8$ respectively for $\mathrm{A} \text{and} \mathrm{B}$. The vapour pressure of pure $\mathrm{A}$ is ______ $\mathrm{mm} \mathrm{Hg}$. (Nearest integer) Consider the liquids and solutions behave ideally

The osmotic pressure of solutions of PVC in cyclohexanone at $300 \mathrm{K}$ are plotted on the graph. The molar mass of PVC is  $\mathrm{g} {\mathrm{mol}}^{-1}$ (Nearest integer)

(Given : $\mathrm{R}=0.083 \mathrm{L} \mathrm{atm} {\mathrm{K}}^{-1} {\mathrm{mol}}^{-1}$ )

The number of pairs of the solution having the same value of the osmotic pressure from the following is
(Assume $100\%$ ionization)

A. $0.500 \mathrm{M} {\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}\left(\mathrm{aq}\right)$ and $0.25 \mathrm{M} \mathrm{KBr}\left(\mathrm{aq}\right)$
B. $0.100 {\mathrm{M}}_{} {\mathrm{K}}_4\left[\mathrm{Fe}(\mathrm{CN}{)}_6\right]\left(\mathrm{aq}\right)$ and $0.100 \mathrm{M}$ ${\mathrm{FeSO}}_4{\left({\mathrm{NH}}_4\right)}_2{\mathrm{SO}}_4\left(\mathrm{aq}\right)$

C. $0.05 \mathrm{M} {\mathrm{K}}_4\left[\mathrm{Fe}(\mathrm{CN}{)}_6\right]$ (aq) and $0.25 \mathrm{M} \mathrm{NaCl}$ $\left(\mathrm{aq}\right)$
D. $0.15 \mathrm{M} \mathrm{NaCl}\left(\mathrm{aq}\right)$ and $0.1 \mathrm{M} {\mathrm{BaCl}}_2\left(\mathrm{aq}\right)$
E. $0.02 \mathrm{M} \mathrm{KCl}.{\mathrm{MgCl}}_2.6{\mathrm{H}}_2\mathrm{O}\left(\mathrm{aq}\right)$ and $0.05 \mathrm{M}$ $\mathrm{KCl}\left(\mathrm{aq}\right)$

Solid Lead nitrate is dissolved in $1$ litre of water. The solution was found to boil at $100.15°\mathrm{C}$. When $0.2\mathrm{mol}$ of $\mathrm{NaCl}$ is added to the resulting solution, it was observed that the solution froze at $-0.8°\mathrm{C}$. The solutbility product of ${\mathrm{PbCl}}_2$ formed is _____ $\times {10}^{-6}$ at $298 \mathrm{K}$. (Nearest integer)

Given : ${\mathrm{K}}_{\mathrm{b}}=0.5\mathrm{K} \mathrm{kg} {\mathrm{mol}}^{-1}$ and ${\mathrm{K}}_{\mathrm{f}}=1.8\mathrm{kg} {\mathrm{mol}}^{-1}$. Assume molality to be equal to molarity in all cases.

Match List-I and List-II

Choose the correct answer from the options given below:

Match List I with List II.

Choose the correct answer from the options given below:

A $300\mathrm{mL}$ bottle of soft drink has $0.2{\mathrm{MCO}}_2$ dissolved in it. Assuming ${\mathrm{CO}}_2$ behaves as an ideal gas, the volume of the dissolved ${\mathrm{CO}}_2$ at STP is _____ $\mathrm{mL}$. (Nearest integer)

Given: At STP, molar volume of an ideal gas is $22.7\mathrm{L} {\mathrm{mol}}^{-1}$

A solution containing $2 \mathrm{g}$ of a non-volatile solute in $20 \mathrm{g}$ of water boils at $373.52 \mathrm{K}$. The molecular mass of the solute is _____ ${\mathrm{gmol}}^{-1}$. (Nearest integer)

Given, water boils at $373 \mathrm{K},{\mathrm{K}}_{\mathrm{b}}$ for water $=0.52\mathrm{K} \mathrm{kg} {\mathrm{mol}}^{-1}$

Lead storage battery contains $38\%$ by weight solution of ${\mathrm{H}}_2{\mathrm{SO}}_4$. The van't Hoff factor is $2.67$ at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is _____ (Nearest integer).

Given ${\mathrm{K}}_{\mathrm{f}}=1.8 \mathrm{K} \mathrm{kg} {\mathrm{mol}}^{-1}$