Identify the values of $a, b, c, d$ and $e$ for the following unbalanced reaction,

$$ \begin{aligned} a \mathrm{KNO}_3+5 \mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11} \longrightarrow b \mathrm{~N}_2 & +c \mathrm{CO}_2 +d \mathrm{H}_2 \mathrm{O}+e \mathrm{~K}_2 \mathrm{CO}_3 \end{aligned} $$

Calculate the number of moles of NaOH required to completely neutralise 100 g of $118 \%$ oleum.

The amount of $50 \%(w / w)$ solution of hydrochloric acid required to react with 200 g of $\mathrm{CaCO}_3$ would be

Given the ratio of amounts of nitrogen and oxygen in a particular gaseous mixture is $4: 1$. Calculate the ratio of number of their molecules?