83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the solution is ____________ K. (Nearest integer)

[Use : Molal Freezing point depression constant of water = 1.86 K kg mol^$$-$$1]

Freezing Point of water = 273 K

Atomic masses : C : 12.0 u, O : 16.0 u, H : 1.0 u]

Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of 0.10 M C₂H₅OH is __________ (Integer answer)

(i) 0.10 M Ba₃(PO₄)₂

(ii) 0.10 M Na₂SO₄

(iii) 0.10 M KCl

(iv) 0.10 M Li₃PO₄

In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is __________ $$\times$$ 10^$$-$$2.

(Round off to the nearest integer)

1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2.42 $$\times$$ 10^$$-$$3 bar.

The molar mass of the biopolymer is _____________ $$\times$$ 10⁴ g mol^$$-$$1. (Round off to the Nearest Integer)

[Use : R = 0.083 L bar mol^$$-$$1 K^$$-$$1]