A Rigid Cylinder with a Movable Piston Contains a Sample of Hydrogen Gas
Calculation of Sample Volume at STP
A rigid cylinder with a movable piston contains a sample of hydrogen gas at 330 K with a pressure of 150 K PA and a volume of 3.50 L. We need to determine the volume of the sample at STP.
Question:
What is the volume of the sample at STP?Answer:
The volume of gas at STP is 4.3 L.
Explanation:
Initial temperature of gas = 330 K
Initial pressure = 150 Kpa (150/101.325 ≈ 1.4804 atm)
Initial volume = 3.5 L
New pressure = 1 atm
New temperature = 273.15 K
To Find: New volume
Formula
P₁V₁ / T₁ = P₂V₂ / T₂
Solution:
V₂ = P₁V₁. T₂ / T₁ . P₂
V₂ = 1.4804 atm. 3.5 L. 273.15 K / 330 K . 1 atm
V₂ = 1415.3 L / 330
V₂ = 4.3 L
Therefore, the volume of gas at STP is 4.3 L.