$2.7 \mathrm{~kg}$ 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. $x=$ ________ (nearest integer)

[Given: Molar mass of water $=18 \mathrm{~g} \mathrm{~mol}^{-1}$, acetic acid $=60 \mathrm{~g} \mathrm{~mol}^{-1}$

${ }^{\mathrm{K}_{\mathrm{f}}} \mathrm{H}_2 \mathrm{O}: 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$

$\mathrm{K}_{\mathrm{f}}$ acetic acid: $3.90 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$

freezing point: $\mathrm{H}_2 \mathrm{O}=273 \mathrm{~K}$, acetic acid $=290 \mathrm{~K}$]

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)

Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 molal solution of glucose in water is 4 K. The ratio of molal elevation constant to molal depression constant (K_b/K_f) is _________.

$150 \mathrm{~g}$ of acetic acid was contaminated with $10.2 \mathrm{~g}$ ascorbic acid $\left(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\right)$ to lower down its freezing point by . The value of is ___________. (Nearest integer)