Boyle's law says "the pressure of a fixed
amount of an ideal gas is inversely proportional to its volume when the
temperature is constant".
P α
1/V
Where P is pressure of the gas and V is the volume
of the gas.
Hence, we can use Boyle's law for two different
situations as,
P₁V₁ = P₂V₂
P₁ =
100.0 kPa = 1 x 10⁵ Pa
V₁ =
3.3 L
P₂ =
90 x 10³ Pa
V₂ =?
By substitution,
1 x 10⁵ Pa x 3.3 L = 90 x 10³ Pa x V₂
V₂ = 3.7 L
Hence, if the pressure drops from 100 kPa to 90
kPa, then the volume of the gas will be 3.7 L.
Here, we made an assumption as the gas is an ideal gas.