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