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Cambridge IGCSE Chemistry · 0620
Chapter 3: Stoichiometry — Part 4
Topic 3.3b · Molar gas volume and concentrations
Molar gas volume
- Equal volumes of gases
- At the same temperature and pressure, equal volumes of different gases contain the same number of molecules (kinetic theory / Avogadro's law).
- Molar gas volume at RTP
- At room temperature and pressure (RTP), one mole of any gas occupies approximately 24 dm3 (24 000 cm3).
- Volume calculations
- Volume (dm3) = moles × 24. Rearrangement: moles = volume ÷ 24. Convert cm3 to dm3 by dividing by 1000 (e.g. 3000 cm3 = 3 dm3).
Exam Traps
- Do not use 24 000 as dm3 — 24 000 cm3 = 24 dm3 = 1 mol at RTP.
- Do not assume heavier gases occupy less volume at RTP — equal moles of all gases have the same volume at the same T and P.
Solution concentrations
- Concentration in g/dm3
- Mass of solute (g) per dm3 of solution. concentration = mass ÷ volume (in dm3).
- Concentration in mol/dm3
- Moles of solute per dm3 of solution. Use the triangle: n = c × V (c = concentration, V = volume in dm3). Convert cm3 to dm3 before using the formula.
- Converting mol/dm3 to g/dm3
- Multiply the concentration in mol/dm3 by the Mr of the solute.
- Titration data
- At the end point, moles of acid = moles of base (in the mole ratio from the equation). Use n = c × V for each solution to find an unknown concentration.
Examiner Report Insights
- n = c × V requires volume in dm3 — convert cm3 by dividing by 1000 before calculating.
Exam Traps
- Do not use cm3 directly in n = c × V — 25.0 cm3 = 0.0250 dm3.
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