Question

A certain quantity of a gas occupies a volume of 1000 $c{m}^3$ at 760 mm and ${27}^{\circ }C$. Find the volume of the gas if the pressure and temperature are 1520 mm and ${327}^{\circ }C$.

• A. $1100c{m}^3$
• B. $800c{m}^3$
• C. $1200c{m}^3$
• D. $1000c{m}^3$

Answer 1

The correct option is D

$1000c{m}^3$

By combining Boyle's and Charles Law, we get the gas equation:

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

where $P_1=760mm,V_1=1000c{m}^3,T_1=(273+27)K=300K$

and$P_1=1520mm,T_1=(273+327)K=600K$

$\Rightarrow \frac{760\times 1000}{300}=\frac{1520\times V_2}{600}$

$\Rightarrow V_2=\frac{760\times 1000\times 600}{300\times 1520}$

$\Rightarrow V_2=1000c{m}^3$