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 3.5 L. What is the volume of this sample at STP

The volume of gas at STP is 4.3 L.

Explanation:

Given dа ta:

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

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

The volume of gas at STP is 4.3 L.