The volume of hydrogen liberated at STP by treating $$2.4 \mathrm{~g}$$ of magnesium with excess of hydrochloric acid is _________ $$\times ~10^{-2} \mathrm{~L}$$

Given : Molar volume of gas is $$22.4 \mathrm{~L}$$ at STP.

Molar mass of magnesium is $$24 \mathrm{~g} \mathrm{~mol}^{-1}$$

A solution of sugar is obtained by mixing $$200 \mathrm{~g}$$ of its $$25 \%$$ solution and $$500 \mathrm{~g}$$ of its $$40 \%$$ solution (both by mass). The mass percentage of the resulting sugar solution is ___________ (Nearest integer)

$$0.5 \mathrm{~g}$$ of an organic compound $$(\mathrm{X})$$ with $$60 \%$$ carbon will produce __________ $$\times 10^{-1} \mathrm{~g}$$ of $$\mathrm{CO}_{2}$$ on complete combustion.

If 5 moles of $$\mathrm{BaCl}_{2}$$ is mixed with 2 moles of $$\mathrm{Na}_{3} \mathrm{PO}_{4}$$, the maximum number of moles of $$\mathrm{Ba}_{3}\left(\mathrm{PO}_{4}\right)_{2}$$ formed is ___________ (Nearest integer)