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]

When 3.00 g of a substance 'X' is dissolved in 100 g of CCl₄, it raises the boiling point by 0.60 K. The molar mass of the substance 'X' is ______________ g mol^$$-$$1. (Nearest integer).

[Given K_b for CCl₄ is 5.0 K kg mol^$$-$$1]

CO₂ gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO₂ exerts a partial pressure of 0.835 bar then x m mol of CO₂ would dissolve in 0.9 L of water. The value of x is ____________. (Nearest integer)

(Henry's law constant for CO₂ at 298 K is 1.67 $$\times$$ 10³ bar)

The vapour pressures of A and B at 25$$^\circ$$C are 90 mm Hg and 15 mm Hg respectively. If A and B are mixed such that the mole fraction of A in the mixture is 0.6, then the mole fraction of B in the vapour phase is x $$\times$$ 10^$$-$$1. The value of x is ___________. (Nearest integer)