According to Boyle's Law," the volume of a fixed mass of gas is inversely proportional to the pressure applied on it".
Mathematically,
P₁ V₁ = P₂ V₂ -------- (1)
Data Given:
Initial Volume = V₁ = 15.0 L
Initial Pressure = P₁ = 210 kPa
Final Pressure = P₂ = 790 kPa
Final Volume = V₂ = ?
Solving eq. 1 for V₂,
V₂ = P₁ V₁ / P₂
Putting Values,
V₂ = (210 kPa × 15.0 L) ÷ 790 kPa
V₂ = 3.98 L
