A container holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. A valve is opened, allowing the gas to drive a piston, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature remains constant, what new volume does the gas occupy?

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1 December, 16:04

A container holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. A valve is opened, allowing the gas to drive a piston, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature remains constant, what new volume does the gas occupy?

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Kaitlin Mcclure · Answer 1

Volume = 2m³

Explanation:

The pressure of a gas is inversely proportional to its volume when its temperature is constant.

P₁V₁ = P₂V₂

V₂ = (P₁V₁) / P₂

V₂ = (4atm x 0.5m³) / 1atm

V₂ = 2 m³