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How big is a mole?
For part of their CAS programme some of our students act  as lifeguards on our local beach (Southerndown beach).
Here is some sand taken from the beach
This is a picture of the beach taken from the cliffs above. Can you ‘guesstimate’ from the information contained in this picture and the picture before how many grains of sand there are on Southerndown beach? No calculators allowed!
Volume of sand on Southerndown beach                         = (1 x 103) x (1 x 102) x 1 m3 = 1 x 105 m3     1 cm3 contains 1 x 103 grains of sand 1 m3 = 1 x 106 cm3 Hence 1 m3 contains 1 x 109 grains of sand Number of grains of sand on Southerndown beach                                = 1 x 1014 Nowhere near one mole of sand.So where can we find a bigger beach?
The Sahara Desert
  ^ 1 500 km     v SAHARA DESERT -------------4 000 km---------->
Volume of Sahara desert = (4.0 x 106) x (1.5 x 106) x 10 m3 = 6.0 x 1013 m3 1 cm3 contains 1 x 103 grains of sand Hence 1 m3 contains 1 x 109 grains of sand Number of grains of sand in the Sahara desert = 6 x 1022 That is, about 1/10 mole of grains of sand
12 g of carbon 1 mole of carbon 6.02 x 1023 atoms of carbon

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How big is a mole

  • 1. How big is a mole?
  • 2. For part of their CAS programme some of our students act as lifeguards on our local beach (Southerndown beach).
  • 3. Here is some sand taken from the beach
  • 4. This is a picture of the beach taken from the cliffs above. Can you ‘guesstimate’ from the information contained in this picture and the picture before how many grains of sand there are on Southerndown beach? No calculators allowed!
  • 5. Volume of sand on Southerndown beach = (1 x 103) x (1 x 102) x 1 m3 = 1 x 105 m3 1 cm3 contains 1 x 103 grains of sand 1 m3 = 1 x 106 cm3 Hence 1 m3 contains 1 x 109 grains of sand Number of grains of sand on Southerndown beach = 1 x 1014 Nowhere near one mole of sand.So where can we find a bigger beach?
  • 7. ^ 1 500 km v SAHARA DESERT -------------4 000 km---------->
  • 8. Volume of Sahara desert = (4.0 x 106) x (1.5 x 106) x 10 m3 = 6.0 x 1013 m3 1 cm3 contains 1 x 103 grains of sand Hence 1 m3 contains 1 x 109 grains of sand Number of grains of sand in the Sahara desert = 6 x 1022 That is, about 1/10 mole of grains of sand
  • 9. 12 g of carbon 1 mole of carbon 6.02 x 1023 atoms of carbon

Editor's Notes

  1. This PP uses a local beach and the students’ ability to think to give them some idea of exactly how big one mole is.
  2. If you can provide your own picture of a beach near you that your students know – so much the better
  3. Again it is better to provide your students with an actual bottle of sand (you can take it from anywhere!)