A Rigid Cylinder with Hydrogen Gas Sample Calculation

Volume Calculation of Hydrogen Gas Sample at STP

A rigid cylinder with a movable piston contains a sample of hydrogen gas. At 330 K, this sample has a pressure of 150 kPa and a volume of 3.50 L. What is the volume of this sample at STP?

Question:

What is the volume of the hydrogen gas sample at STP?

Answer:

V₂ = 4.34 L

Explanation:

According to the general gas equation:

P₁V₁/T₁ = P₂V₂/T₂

Given data:

Initial volume = 3.50 L

Initial pressure = 150 kPa (150/101.325 = 1.5 atm)

Initial temperature = 330 K

Final temperature = 273 K

Final volume = ?

Final pressure = 1 atm

Formula:

P₁V₁/T₁ = P₂V₂/T₂

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

Solution:

V₂ = P₁V₁ T₂/ T₁ P₂

V₂ = 1.5 atm × 3.50 L × 273 K / 330 K × 1 atm

V₂ = 1433.3 atm .L. K / 330 k.atm

V₂ = 4.34 L