Study of Gas Laws — Question 1

V₁ = Initial volume of the gas = 500 cc
P₁ = Initial pressure of the gas = 1480 mm

P₂ = Final pressure of the gas = 740 mm
V₂ = Final volume of the gas = ?

By Boyle's Law:

$\text{P}_1 \text{V}_1 = \text{P}_2 \text{V}_2$

Substituting the values :

$1480 \times 500 = \text{V}_2 \times 740 \\[0.5em] \text{V}_2 = \dfrac{1480 \times 500}{740} \\[0.5em] \text{V}_2 = 1000 \text{ cc}$

Therefore, final volume of the gas = 1000 cc