A 2.5-liter sample of a gas at 2.0 atm and 300.0 K has 0.30 mole of the gas. If 0.15 mole of the gas is added to the sample at the same temperature and pressure, what is the final volume of the gas? 3.4 liters 3.8 liters 4.2 liters 4.7 liters

3.8 liters

Explanation:

According to Avogadro's Law of gases

at constant temperature and pressure, the volume of all gases constitutes an equal number of molecules. In other words, the volume of any gas is directly proportional to the number of molecules of that gas.

∴ V ∝ n or (V₁/V₂) = (n₁/n₂)

V₁ = 2.5 L

n₁ = 0.3 mol

n₂ = 0.3 mol + 0.15 mol = 0.45 mol

using cross multiplication

(2.5 L / V₂) = (0.3 mol / 0.45 mol)

V₂ = 3.8 L

∴ The right choice is 3.8 liters