Answer:
V₁ = 1.75 m³
Explanation:
Assuming the gas to be an ideal gas. At constant temperature, the relationship between the volume and temperature of an ideal gas is given by Boyle's Law as follows:
[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]
where,
P₁ = Initial Pressure of the Gas = 4 KPa
V₁ = Initial Volume of the Gas = ?
P₂ = Final Pressure of the Gas = 2 KPa
V₂ = Final Volume of the Gas = 3.5 m³
Therefore,
[tex](4\ KPa)V_{1} = (2\ KPa)(3.5\ m^{3})\\\\V_{1}=\frac{2\ KPa}{4\ KPa}(3.5\ m^{3})\\\\[/tex]
V₁ = 1.75 m³
