Question

The volume of a gas at $740mm$ pressure is $190mL$. What will be the volume at $760mm$ pressure.if the temperature remains constant.

Answer 1

According to Boyle's law, at constant temperature,

$P\propto \frac{1}{V}$

$\therefore \frac{P_1}{P_2}=\frac{V_2}{V_1}$

Given that:-

$P_1=740mm$

$V_1=190mL$

$P_2=760mm$

$V_2=?$

$\therefore \frac{740}{760}=\frac{V_2}{190}$

$\Rightarrow V_2=\frac{740\times 190}{760}$

$\Rightarrow V_2=185mL$

Hence, at 760 mm pressure, volume will be 185 mL.