If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio $$2: 1$$ and their enthalpy of vaporizations are in the ratio $$1: 2$$, then the boiling point elevation constant of $$\mathrm{X}$$ is $$\underline{\mathrm{m}}$$ times the boiling point elevation constant of Y. The value of m is ____________ (nearest integer)

For complete combustion of ethene.

$$\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$$

the amount of heat produced as measured in bomb calorimeter is $$1406 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ at $$300 \mathrm{~K}$$. The minimum value of $$\mathrm{T} \Delta \mathrm{S}$$ needed to reach equilibrium is ($$-$$) _________ $$\mathrm{kJ}$$. (Nearest integer)

Given : $$\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$$

The number of atomic orbitals from the following having 5 radial nodes is ___________.

$$7 \mathrm{s}, 7 \mathrm{p}, 6 \mathrm{s}, 8 \mathrm{p}, 8 \mathrm{d}$$

The sum of oxidation state of the metals in $$\mathrm{Fe}(\mathrm{CO})_{5}, \mathrm{VO}^{2+}$$ and $$\mathrm{WO}_{3}$$ is ___________.