232.9 m³
According to Boyle's Law, " The Volume of a given mass of gas at constant temperature is inversely proportinal to the applied Pressure". Mathmatically the initial and final states of gas are given as,
P₁ V₁ = P₂ V₂ ----------- (1)
Data Given;
P₁ = 1.1 atm
V₁ = 180 m³
P₂ = 0.85 atm
V₂ = ?
Solving equation 1 for V₂,
V₂ = P₁ V₁ / P₂
Putting values,
V₂ = (1.1 atm × 180 m³) ÷ 0.85 atm
V₂ = 232.9 m³
As the pressure has decreased from 1.1 atm to 0.85 atm, therefore, volume got increased from 180 m³ to 232.9 m³.