A rigid vessel contains neon at pressure 1.58 × 10⁵ Pa, volume 2.72 × 10⁻³ m³ and temperature 314 K. Assuming ideal behaviour, calculate the amount of gas in moles. Use R = 8.31 J/(mol K).

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0.1647 mol For a stated ideal gas in equilibrium, pressure, volume, amount and absolute temperature are related by pV = nRT; all given quantities are already in SI units. Rearrange for the required amount of gas: n = pV/(RT). Substitute the measurements: n = (1.58 × 10⁵ Pa × 2.72 × 10⁻³ m³) ÷ (8.31 J/(mol K) × 314 K). This gives n = 0.1647 mol. The units are consistent because Pa m³ is equivalent to joules, leaving moles after division by RT.

Amount of neon in a vessel

A rigid vessel contains neon at pressure 1.58 × 10⁵ Pa, volume 2.72 × 10⁻³ m³ and temperature 314 K. Assuming ideal behaviour, calculate the amount of gas in moles. Use R = 8.31 J/(mol K).

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