Question

A balloon containing 0.15mol of hydrogen gas (H2) has a volume of 0.75L. If the balloon is further inflated with additional hydrogen gas to a 3.75L volume, what is the total mass of hydrogen gas in grams in the balloon

Answer 1

The total mass of hydrogen gas in grams in the balloon given the data is 1.5 g

How to determine the new mole of hydrogen

• Initial mole (n₁) = 0.15 mole
• Initial volume (V₁) = 0.75 L
• New volume (V₂) = 3.75 L
• New mole (n₂) = ?

The new mole of the gas can be obtained by using the ideal gas equation as follow:

PV = nRT

V / n = RT / P

RT / P = constant

V₁ / n₁ = V₂ / n₂

0.75 / 0.15 = 3.75 / n₂

5 = 3.75 / n₂

Cross multiply

5 × n₂ = 3.75

Divide both sides by 5

n₂ = 3.75 / 5

n₂ = 0.75 mole

How to determine the mass of hydrogen

• Number of mole = 0.75 mole
• Molar mass of H₂ = 2 g/mole
• Mass of H₂ = ?

Mass = mole × molar mass

Mass of H₂ = 0.75 × 2

Mass of H₂ = 1.5 g

Learn more about ideal gas equation:

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