When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evaporated. The molarity of the remaining nitric acid solution is x $\times$ 10^$-$2 M. (Nearest integer)

(Molar mass of nitric acid is 63 g mol^$-$1)

Molarity $(\mathrm{M})$ of an aqueous solution containing $x \mathrm{~g}$ of anhyd. $\mathrm{CuSO}_4$ in solution at is . Its molality will be _________ . (nearest integer). [Given density of the solution ]

Molality of 0.8 M H$_2$SO$_4$ solution (density 1.06 g cm) is ________ m.

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)

Considering acetic acid dissociates in water, its dissociation constant is $6.25 \times 10^{-5}$. If $5 \mathrm{~mL}$ of acetic acid is dissolved in 1 litre water, the solution will freeze at , provided pure water freezes at .

1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for this strength of acid is 0.0198$^\circ$C. The percentage of dissociation of the acid is ___________. (Nearest integer)

[Given : Density of acetic acid is 1.02 g mL^$-$1, Molar mass of acetic acid is 60 g mol, K(HO) = 1.85 K kg mol]