Question

$4.4$ g of $N_{2}O$ occupies $1.23$ litres at $2$ atm and ${27}^{o}C$. The volume occupied by same mass of $C{O}_2$ at $2$ atm and ${27}^{o}C$ is :

• A. 2.24 L
• B. 2.46 L
• C. 1.12 L
• D. 1.23 L

Answer 1

The correct option is D 1.23 L

Molecular mass of $N_{2}O=C{O}_2=44g$

Both have the same mass.

Therefore, no of moles are equal for both $N_{2}O$ and $C{O}_2$.

Avogadro's hypothesis states that equal volumes of all gases at the same temperature and pressure contain equal numbers of particles.

Hence, Volume of $C{O}_2=$ Volume of $N_{2}O$

$=1.23$ litres.

Hence, the correct answer is option $\text{D}$.