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GCSE Chemistry Revision

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GCSE Chemistry revision

Use of amount of substance in relation to volumes of gases

Use of amount of substance in relation to volumes of gases (chemistry only) (HT only)

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Introduction

  • At room temperature and pressure (RTP), the volume of any gas can be found using the equation: Volume (dm³) = moles × 24 This equation applies to all gases regardless of their type, whether chlorine, oxygen, or water vapour.
  • The molar volume of a gas at RTP is 24 dm³ per mole.

Calculating Volume from Moles

  • To find the volume of a gas, simply multiply the number of moles by 24.
  • For example, 3.5 moles of chlorine gas occupies 3.5 × 24 = 84 dm³.

Calculating Moles from Volume

  • To find the number of moles from a known volume, rearrange the equation: moles = volume / 24 For example, 60 dm³ of oxygen contains 60 / 24 = 2.5 moles.

Finding Volume from Mass

  • When given a mass rather than moles, first calculate moles using: moles = mass / Mr The relative formula mass (Mr) is found by adding together the relative atomic masses of all atoms in the formula.
  • For example, water (H₂O) has an Mr of 18, so 27 g of water vapour gives 27 / 18 = 1.5 moles.
  • Once moles are known, multiply by 24 to find the volume: 1.5 × 24 = 36 dm³.

Limiting Reagents and Gas Volume Calculations

  • When one reactant is in excess, the other reactant is the limiting reagent and determines the amount of product formed.
  • To find the volume of a gaseous product, first convert the volume of the limiting reagent to moles by dividing by 24.
  • Use the molar ratio from the balanced equation to find the moles of product, then multiply by 24 to get its volume.

Molar Ratios in Balanced Equations

  • The molar ratio is found by comparing the large coefficients (the numbers written in front of chemical formulae) in a balanced equation.
  • If no number is written in front of a formula, it is assumed to be 1.
  • For example, in N₂ + 3H₂ → 2NH₃, the molar ratio of N₂ to NH₃ is 1:2.

Shortcut: Converting Directly Between Gas Volumes

  • When converting between the volumes of two gases in the same reaction, you can skip calculating moles and simply apply the molar ratio directly to the volumes.
  • This shortcut works because twice as many moles of a gas occupies twice the volume at the same temperature and pressure.
  • For example, if 18 dm³ of N₂ reacts with excess H₂, the volume of NH₃ produced is 18 × 2 = 36 dm³ using the 1:2 ratio.

Conditions: Room Temperature and Pressure (RTP)

  • The molar volume of 24 dm³/mol only applies at room temperature and pressure (RTP).
  • Changing the temperature or pressure alters the volume that a gas occupies, changing the value used in the equation.
  • For GCSE exams, you only need to use the value of 24 dm³/mol.

Summary / Key Terms

  • Volume of gas: Volume (dm³⁾ = moles × 24 Moles from volume: moles = fracvolume (dm³⁾24 Moles from mass: moles = mass (g) / Mr