A sample of oxygen gas has a volume of 36.7 L at 145 kPa and 65. ̊C. What volume will the sample have at STP?

Data Given:

Initial Volume = V₁ = 36.7 L

Initial Pressure = P₁ = 145 kPa

Initial Temperature = T₁ = 65 °C + 273 = 338 K

Final Volume = V₂ = ?

Final Pressure = P₂ = 101.325 kPa (Standard Pressure)

Final Temperature = T₂ = 273 K (Standard Temperature)

Formula used:

As number of moles are constant, so Ideal Gas equation in following form is used,

P₁ V₁ / T₁ = P₂ V₂ / T₂

Solving for V₂,

V₂ = P₁ V₁ T₂ / T₁ P₂

Putting Values,

V₂ = (145 kPa * 36.7 L * 338 K) : (273 K * 101.325 kPa)

V₂ = 1798667 : 27661.25

V₂ = 65.02 L