Question

Two vessels of volumes $16.4\, L$ and $5\,L$ contain two ideal gases of molecular existence at the respective temperature of $27^?C$ and $227^?C$ and exert $1.5$ and $4.1$ atmospheres respectively. The ratio of the number of molecules of the former to that of the latter is

• A. $2$
• B. $1$
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$

Answer 1

Answer: (A)

$2$

Answer 2

From $\frac{p_{1} V_{1}}{n_{1} T_{1}}=\frac{p_{2} V_{2}}{n_{2} T_{2}}$
$\frac{n_{1}}{n_{2}}=\frac{p_{1} V_{1} T_{2}}{p_{2} V_{2}}=\frac{1.5 \times 16.4 \times 500}{4.1 \times 5 \times 300}=2$
$\therefore\, n_{1}: n_{2}=2: 1$