Since the temperature
is a constant, we can use Boyle's law to solve this.
Boyle' law says "at a constant temperature, the
pressure of a fixed amount of an ideal gas is inversely proportional to its
volume.
P α 1/V
⇒
PV = k (constant)
Where, P is the pressure of the gas and V is the
volume.
Here, we assume that the gas in the balloon is an ideal gas.
We can use Boyle's law for these two situations as,
P₁V₁ = P₂V₂
P₁ = 100.0 kPa = 1 x 10⁵ Pa
V₁ =
3.3 L
P₂ =
90.0 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, the volume of gas when pressure is 90.0 kPa
is 3.7 L.
