Question

A sample of ethane (C2H6) gas has the same mass as 1.5 x 1020 molecules of methane (CH4). How many C2H6 molecules does the sample of gas contain?

July 1, 2024

Answer

Mass of 1 molecule of CH₄ = 16 g / NA

Mass of 1.5 x 10²⁰ molecules of methane = (1.5 × 10²⁰× 16 / NA) g

Mass of 1 molecule of C₂H₆ = (30 / NA) g

Mass of molecules of C₂H₆ = (1.5 × 10²⁰× 16 / NA) g

∴ Number of molecules of ethane = (1.5 × 10²⁰× 16 / NA) × (𝑁𝐴 / 30)

= 0.8 × 10²⁰

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