The solubility product of a sparingly soluble salt A₂X₃ is 1.1 $$\times$$ 10^$$-$$23. If specific conductance of the solution is 3 $$\times$$ 10^$$-$$5 S m^$$-$$1, the limiting molar conductivity of the solution is $$x \,\times$$ 10^$$-$$3 S m² mol^$$-$$1. The value of x is ___________.

For a first order reaction A $$\to$$ B, the rate constant, k = 5.5 $$\times$$ 10^$$-$$14 s^$$-$$1. The time required for 67% completion of reaction is x $$\times$$ 10^$$-$$1 times the half life of reaction. The value of x is _____________ (Nearest integer)

(Given : log 3 = 0.4771)

pH value of 0.001 M NaOH solution is ____________.

It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming a reaction to be occurring at 300 K, the value of activation energy is found to be ____________ kJ mol^$$-$$1. [nearest integer]

(Given ln10 = 2.3, R = 8.3 J K^$$-$$1 mol^$$-$$1, log 2 = 0.30)