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The "Worked Example 2.2" illustrates how to determine the relative mass of an unknown substance using a beam balance, comparing it to a carbon-12 sample.
Worked Example 2.2 Explanation:
The example uses an analogy with beads.
- a) A carbon-12 sample is represented by 12 beads. By definition, carbon-12 has a relative atomic mass of 12. This implies that each carbon-12 bead in this analogy has a relative mass of 1 unit.
- b) An unknown sample is represented by beads.
- c) To find the relative mass of the unknown sample, the example assumes that beads of the unknown sample have the same total mass as the 12 carbon-12 beads when balanced. Therefore, the total relative mass of the unknown beads is 12 units. The formula calculates the relative mass per bead of the unknown sample. So, represents the relative mass of one bead of the unknown substance.
Activity 2.2: Understanding relative molecular mass
Relative molecular mass () is the sum of the relative atomic masses () of all the atoms in a molecule. We will use the approximate relative atomic masses: Hydrogen () , Carbon () , and Oxygen () .
1) For Water ():
Identify the atoms and their quantities.
The molecule contains 2 hydrogen atoms and 1 oxygen atom.
List the relative atomic masses.
Calculate the relative molecular mass.
The relative molecular mass of water is .
2) For Carbon Dioxide ():
Identify the atoms and their quantities.
The molecule contains 1 carbon atom and 2 oxygen atoms.
List the relative atomic masses.
Calculate the relative molecular mass.
The relative molecular mass of carbon dioxide is .
3) For Methane ():
Identify the atoms and their quantities.
The molecule contains 1 carbon atom and 4 hydrogen atoms.
List the relative atomic masses.
Calculate the relative molecular mass.
The relative molecular mass of methane is .
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