Calculate the total number of atoms in $5.6 \ L$ of $SO_2$ gas at $NTP$.

Match the items in Column-$A$ with the items in Column-$B$ and select the correct option.

Column-$A$	Column-$B$
$1$. $55.55 \text{ mol}$	$(P)$ $6.022 \times 10^{23}$ molecules of sucrose
$2$. $2 \text{ mol}$	$(Q)$ $1.8 \text{ g}$ of $H_2O$
$3$. $0.1 \text{ mol}$	$(R)$ $126 \text{ g}$ of $HNO_3$
$4$. $0.01 \text{ mol}$	$(S)$ $1 \text{ L}$ of pure water

Containers $A, B$,and $C$ of equal volume contain oxygen,neon,and methane gases respectively at the same temperature and pressure. Which of the following is the correct order of their increasing mass?

Two vessels $A$ and $B$ of $1 \, L$ each contain $0.11 \, g$ $CO_2$ gas and $0.07 \, g$ of unknown gas respectively under the same conditions of pressure and temperature. The unknown gas is:

$2.8 \times 10^{-3} \ mol$ of $CO_2$ is left after removing $10^{21}$ molecules from its '$x$' $mg$ sample. The mass of $CO_2$ taken initially is. Given: $N_A = 6.02 \times 10^{23} \ mol^{-1}$. (in $mg$)

How many moles of water are present in $180 \ g$ of water?