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Molar Volume Calculation - 1

The molar volume is the volume occupied by one mole of any gas. At room temperature and pressure (r.t.p., 293 K (20°C) and 101 kPa) it is 24.0 dm3 mol-1. It does not matter which gas it is: one mole of hydrogen and one mole of carbon dioxide take up the same volume at the same temperature and pressure.This gives two linked equations:
volume of gas (dm3) = amount (mol) × 24.0
amount (mol) = volume of gas (dm3) ÷ 24.0
Gas volumes are often given in cm3. Since 1 dm3 = 1000 cm3, the molar volume is also 24 000 cm3 mol-1, so a volume in cm3 is divided by 24 000.Worked example 1: what volume does 0.250 mol of carbon dioxide occupy at r.t.p.?volume = 0.250 × 24.0 = 6.00 dm3Worked example 2: what mass of oxygen is in 480 cm3 of the gas at r.t.p.?amount of O2 = 480 ÷ 24 000 = 0.0200 molmass = amount × Mr = 0.0200 × 32.0 = 0.640 gAlways check the units of the volume before you divide, and give the answer to the same number of significant figures as the data.

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Specification: Edexcel Chemistry (8CH0), AS-level, Topic 5: Formulae, Equations and Amounts of Substance. Topic: Amount of Substance and Calculations.

Key terms in this lesson

mole
The amount of substance containing 6.02 x 10^23 particles, the same number as the atoms in 12 g of carbon-12.

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