$2.5 \mathrm{~g}$ of a non-volatile, non-electrolyte is dissolved in $100 \mathrm{~g}$ of water at $25^{\circ} \mathrm{C}$. The solution showed a boiling point elevation by $2^{\circ} \mathrm{C}$. Assuming the solute concentration is negligible with respect to the solvent concentration, the vapor pressure of the resulting aqueous solution is _________ $\mathrm{mm}$ of $\mathrm{Hg}$ (nearest integer)

[Given : Molal boiling point elevation constant of water $\left(\mathrm{K}_{\mathrm{b}}\right)=0.52 \mathrm{~K} . \mathrm{kg} \mathrm{mol}^{-1}$, $1 \mathrm{~atm}$ pressure of , molar mass of water

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)

If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio $2: 1$ and their enthalpy of vaporizations are in the ratio $1: 2$, then the boiling point elevation constant of is times the boiling point elevation constant of Y. The value of m is ____________ (nearest integer)

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 ___________ . (Nearest integer)

Let $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right]$. If the sum of the diagonal elements of is , then is equal to ________.

$1.80 \mathrm{~g}$ of solute A was dissolved in $62.5 \mathrm{~cm}^{3}$ of ethanol and freezing point of the solution was found to be . The molar mass of solute A is ________ g .

$2.7 \mathrm{~kg}$ of each of water and acetic acid are mixed. The freezing point of the solution will be $-x^{\circ} \mathrm{C}$. Consider the acetic acid does not dimerise in water, nor dissociates in water. ________ (nearest integer)

If $\mathrm{O}_{2}$ gas is bubbled through water at $303 \mathrm{~K}$, the number of millimoles of gas that dissolve in 1 litre of water is __________. (Nearest Integer)

Solution of $12 \mathrm{~g}$ of non-electrolyte (A) prepared by dissolving it in $1000 \mathrm{~mL}$ of water exerts the same osmotic pressure as that of $0.05 ~\mathrm{M}$ glucose solution at the same temperature. The empirical formula of is . The molecular mass of is __________ g. (Nearest integer)

If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3, then the observed freezing point will be ___________% higher than the expected/theoretical freezing point. (Nearest integer)

The osmotic pressure of a dilute solution is $7 \times 10^5 \mathrm{~Pa}$ at $273 \mathrm{~K}$. Osmotic pressure of the same solution at is _________ .

0.004 M K$_2$SO$_4$ solution is isotonic with 0.01 M glucose solution. Percentage dissociation of KSO is ___________ (Nearest integer)

The number of pairs of the solutions having the same value of the osmotic pressure from the following is _________.

(Assume 100% ionization)

A. 0.500 $\mathrm{M~C_2H_5OH~(aq)}$ and 0.25

25 mL of an aqueous solution of KCl was found to require 20 mL of 1 M $\mathrm{AgNO_3}$ solution when titrated using $\mathrm{K_2CrO_4}$ as an indicator. What is the depression in freezing point of KCl solution of the given concentration? _________ (Nearest integer).

$20 \%$ of acetic acid is dissociated when its $5 \mathrm{~g}$ is added to $500 \mathrm{~mL}$ of water. The depression in freezing point of such water is _________ .

2 g of a non-volatile non-electrolyte solute is dissolved in 200 g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1 : 8. The elevation in boiling points of A and B are in the ratio ${x \over y}$ (x : y). The value of y is ______________. (Nearest integer)