Question

A gas occupies a volume of $300c{m}^3$ at ${27}^{\circ }C$ and $620mm$ pressure. The volume of gas at ${47}^{\circ }C$ and $640mm$ pressure is:

• A. $260c{m}^3$
• B. $310c{m}^3$
• C. $390c{m}^3$
• D. $450c{m}^3$

Answer 1

The correct option is B $310c{m}^3$

Here, $V_1=300c{m}^3$, $T={27}^{\circ }C=300K$, $P_1=620mm$

$T_2={47}^{\circ }C=320K$, $P_2=640mm$

From Ideal gas equation,

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}\Rightarrow \frac{620\times 300}{300}=\frac{640\times V_2}{320}$
$V_2=\frac{620\times 300\times 320}{640\times 300}=310c{m}^3$.