Question

Two containers $A$ and $B$ contain the same ideal gas at the same temperature and pressure. If volume of container $A$ is twice the volume of container $B$, then find the ratio of gas molecules present in container $A$ to container $B$.

• A. $2:1$
• B. $3:2$
• C. $1:2$
• D. $2:3$

Answer 1

The correct option is A $2:1$

According to Avogadro's law for same condition of temperature and pressure,
At constant $P$ and $T$,
$V\times n$
Where $n$ is number of molecules,
$\therefore \frac{V_1}{V_2}=\frac{n_1}{n_2}\Rightarrow \frac{V_A}{V_B}=\frac{n_A}{n_B}\Rightarrow \frac{n_A}{n_B}=2(\because V_A=2V_B)$