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?

Question

Physics

Armstrong

19 September, 18:33

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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Answers (1)

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Cheyanne Mcneil · 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