Verified answer

Answer:-

Given:-

Initial volume of a gas at STP (V₁) = 52 m³

Initial pressure of a gas at STP (P₁) = 100 kPa (approx.)

Final Pressure of the gas (V₂) = 104 cm of Hg = 104 × 1.33 kPa = 138.32 kPa

We know that,

Boyle's law of gases states that at constant temperature, the pressure of a gas is inversely proportional to the volume.

i.e.,

⟹ P ∝ 1/V

⟹ PV = constant

⟹ P₁V₁ = P₂V₂

⟹ (100)(52) = (138.32)(V₂)

⟹ 5200/138.32 = V₂

⟹ 37.5 m³ = V₂

∴ The volume of the gas decreases to 37.5 m³.