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 ]

The standard enthalpies of formation of Al₂O₃ and CaO are $$-$$1675 kJ mol^-1 and $$-$$635 kJ mol^$$-$$1 respectively.

For the reaction

3CaO + 2Al $$ \to $$ 3Ca + Al₂O₃ the standard reaction enthalpy $$\Delta$$_rH⁰ = _________ kJ.

(Round off to the Nearest Integer)