Question

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

• A. $260cc$
• B. $310cc$
• C. $390cc$
• D. $450cc$

Answer 1

The correct option is B $310cc$

Ideal gas equation,

$PV=nRT$

So when no of moles of gas are constant

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$=\frac{V_1\times 640}{(273+47)}=\frac{620\times 300}{(273+27)}$

$V_1=\frac{620\times 300\times 320}{640\times 300}=310cc$