The pressure exerted by a non-reactive gaseous mixture of 6.4g of methane and 8.8 g of carbon dioxide in a 10L vessel at 27$$^\circ$$C is __________ kPa. (Round off to the Nearest Integer).

[Assume gases are ideal, R = 8.314 J mol^$$-$$1 K^$$-$$1

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

For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _________ $$\times$$ 10^$$-$$3 s^$$-$$1. (Round off to the Nearest Integer). [Given : log₁₀2 = 0.301, ln10 = 2.303]

0.01 moles of a weak acid HA (K_a = 2.0 $$\times$$ 10^$$-$$6) is dissolved in 1.0 L of 0.1 M HCl solution. The degree of dissociation of HA is __________ $$\times$$ 10^$$-$$5 (Round off to the Nearest Integer).

[Neglect volume change on adding HA. Assume degree of dissociation <<1 ]

The mole fraction of a solute in a 100 molal aqueous solution is ___________ $$\times$$ 10^$$-$$2. (Round off to the Nearest Integer).

[Given : Atomic masses : H : 1.0 u, O : 16.0 u ]