Question

0. 820 mole of hydrogen gas has a volume of 2. 00 l at a certain temperature and pressure. What is the volume of 0. 125 mol of this gas at the same temperature and pressure?

Answer 1

The volume of 0.125 mole of the gas at the same temperature and pressure 0.30 L

Data obtained from the question

• Initial mole (n₁) = 0.82 mole
• Initial volume (V₁) = 2 L
• New mole (n₂) = 0.125 mole
• Pressure = Constant
• Temperature = Constant
• New Volume (V₂) =?

How to determine the new volume

The new volume can be obtained as illustrated below

PV = nRT

Divide both side by P

V = nRT / P

Divide both side by n

V / n = RT / P = Constant

Thus,

V₁ / n₁ = V₂ / n₂

2 / 0.82 = V₂ / 0.125

Cross multiply

0.82 × V₂ = 2 × 0.125

Divide both side by 0.82

V₂ = (2 × 0.125) / 0.82

V₂ = 0.30 L

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