The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x $$\times$$ 10^$$-$$8 m. The value of x is ___________. (Nearest Integer).

(Given : Energy of the electron in the first shell of the hydrogen atom is $$-$$2.2 $$\times$$ 10^$$-$$18 J ; h = 6.63 $$\times$$ 10^$$-$$34 Js and c = 3 $$\times$$ 10⁸ ms^$$-$$1)

The standard entropy change for the reaction

4Fe(s) + 3O₂(g) $$\to$$ 2Fe₂O₃(s) is $$-$$550 J K^$$-$$1 at 298 K.

[Given : The standard enthalpy change for the reaction is $$-$$165 kJ mol^$$-$$1]. The temperature in K at which the reaction attains equilibrium is _____________. (Nearest Integer)

1 L aqueous solution of H₂SO₄ contains 0.02 m mol H₂SO₄. 50% of this solution is diluted with deionized water to give 1 L solution (A). In solution (A), 0.01 m mol of H₂SO₄ are added. Total m mols of H₂SO₄ in the final solution is ___________ $$\times$$ 10³ m mols.

The standard free energy change ($$\Delta$$G$$^\circ$$) for 50% dissociation of N₂O₄ into NO₂ at 27$$^\circ$$C and 1 atm pressure is $$-$$ x J mol^$$-$$1. The value of x is ___________. (Nearest Integer)

[Given : R = 8.31 J K^$$-$$1 mol^$$-$$1, log 1.33 = 0.1239 ln 10 = 2.3]