Identify all of the gas law equations that relate to the ideal gas law.

A balloon containing 0.0400 mol of a gas with a volume of 500 mL was expanded to 1.00 L. Answer the questions and round answers to nearest hundredth place. Which equation should you use to find the amount of gas added?

B. n₂=V₂n₁/V₁

What is the final number of moles?

0.08 mol

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Explanation:

The ideal gas law is Boyle's law, Charles's law, Gay-Lussac's law, and Avogadro's law combined into one equation. Avogadro's law is V₁/N₁=V₂/N₂, Charles's law is V₁/T₁=V₂/T₂, Gay-Lussac's law is P₁/T₁=P₂/T₂, and Boyle's law is P₁V₁=P₂V₂.

For the balloon problem, B is the correct answer because we are looking for the final moles of gas added. Answer B gives the equation that equals n₂, n₂ means final number of moles. The problem gives us initial volume (500 mL), final volume (1 L), and initial moles amount (0.04 mol). Plug these numbers into the equation, n₂=V₂n₁/V₁, using consistent units. Note that V₁=initial volume, V₂=final volume, n₁=initial moles, and n₂=final moles

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