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2a How many grams are there in 3 moles of H2O?
2a • Calculate how many grams are in one mole by multiplying 
the number of atoms of each element by their mass:
2a • Calculate how many grams are in one mole by multiplying 
the number of atoms of each element by their mass: 
1 mole = 2 x 1.0079 + 1 x 15.999 = 18.015g
2a • Calculate how many grams are in one mole by multiplying 
the number of atoms of each element by their mass: 
1 mole = 2 x 1.0079 + 1 x 15.999 = 18.015g 
• Multiply this by the number of moles in the sample:
2a • Calculate how many grams are in one mole by multiplying 
the number of atoms of each element by their mass: 
1 mole = 2 x 1.0079 + 1 x 15.999 = 18.015g 
• Multiply this by the number of moles in the sample: 
3 x 18.015 = ퟓퟒ. ퟎퟒퟒퟒ퐠
2b Calculate the number of moles of calcium in a 1kg rock 
sample, if the rock is 411 ppm calcium.
2b • Convert ppm to g per kg:
2b • Convert ppm to g per kg: 
441ppm = 441μg per g
2b • Convert ppm to g per kg: 
441ppm = 441μg per g 
441,000μg per kg = 0.441g per kg
2b • Convert ppm to g per kg: 
441ppm = 441μg per g 
441,000μg per kg = 0.441g per kg 
• Divide by the mass of one mole of calcium:
2b • Convert ppm to g per kg: 
441ppm = 441μg per g 
441,000μg per kg = 0.441g per kg 
• Divide by the mass of one mole of calcium: 
1 mole Ca = 40.078g
2b • Convert ppm to g per kg: 
441ppm = 441μg per g 
441,000μg per kg = 0.441g per kg 
• Divide by the mass of one mole of calcium: 
1 mole Ca = 40.078g 
0.441 
40.078 
= ퟎ. ퟎퟏퟐ퐦퐨퐥 퐂퐚
2c Seawater contains around 10.8 ppt (parts per 
thousand) sodium. What is this in mol/kg Na?
2c • Convert ppt to g per kg:
2c • Convert ppt to g per kg: 
10.8ppt = 10.8g per kg
2c • Convert ppt to g per kg: 
10.8ppt = 10.8g per kg 
• Divide by the mass of sodium:
2c • Convert ppt to g per kg: 
10.8ppt = 10.8g per kg 
• Divide by the mass of sodium: 
1 mole Na = 22.99g
2c • Convert ppt to g per kg: 
10.8ppt = 10.8g per kg 
• Divide by the mass of sodium: 
1 mole Na = 22.99g 
10.8 
22.99 
= ퟎ. ퟒퟕ퐦퐨퐥퐤퐠−ퟏ 퐍퐚
2d If all river water contained 45 ppb PO43-, and flowed 
into the ocean at 3.6 x 1016 kg/year, what would be 
the flux of PO43- into the ocean in mol/yr? (Hint: First 
convert PO43- from ppb to molkg-1.)
2d • Convert from ppb to moles per kg:
2d • Convert from ppb to moles per kg: 
45ppb = 45ng per g = 45μg per kg
2d • Convert from ppb to moles per kg: 
45ppb = 45ng per g = 45μg per kg 
1 mole PO4 3 
− = 30.974 + 4 15.999 = 94.97g
2d • Convert from ppb to moles per kg: 
45ppb = 45ng per g = 45μg per kg 
1 mole PO4 3 
− = 30.974 + 4 15.999 = 94.97g 
45 x 10−6gkg−1 
94.97g 
= 4.74 x 10−7molkg−1
2d • Convert from ppb to moles per kg: 
45ppb = 45ng per g = 45μg per kg 
1 mole PO4 3 
− = 30.974 + 4 15.999 = 94.97g 
45 x 10−6gkg−1 
94.97g 
= 4.74 x 10−7molkg−1 
• Multiply by the flux of water:
2d • Convert from ppb to moles per kg: 
45ppb = 45ng per g = 45μg per kg 
1 mole PO4 3 
− = 30.974 + 4 15.999 = 94.97g 
45 x 10−6gkg−1 
94.97g 
= 4.74 x 10−7molkg−1 
• Multiply by the flux of water: 
4.74 x 10−7molkg−1 x 3.6 x 1016kgyr−1 = ퟏ. ퟕퟏ 퐱 ퟏퟎퟏퟎ퐦퐨퐥퐲퐫−ퟏ 퐏퐎ퟒퟑ−

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W1 Example 2 Answers

  • 1. 2a How many grams are there in 3 moles of H2O?
  • 2. 2a • Calculate how many grams are in one mole by multiplying the number of atoms of each element by their mass:
  • 3. 2a • Calculate how many grams are in one mole by multiplying the number of atoms of each element by their mass: 1 mole = 2 x 1.0079 + 1 x 15.999 = 18.015g
  • 4. 2a • Calculate how many grams are in one mole by multiplying the number of atoms of each element by their mass: 1 mole = 2 x 1.0079 + 1 x 15.999 = 18.015g • Multiply this by the number of moles in the sample:
  • 5. 2a • Calculate how many grams are in one mole by multiplying the number of atoms of each element by their mass: 1 mole = 2 x 1.0079 + 1 x 15.999 = 18.015g • Multiply this by the number of moles in the sample: 3 x 18.015 = ퟓퟒ. ퟎퟒퟒퟒ퐠
  • 6. 2b Calculate the number of moles of calcium in a 1kg rock sample, if the rock is 411 ppm calcium.
  • 7. 2b • Convert ppm to g per kg:
  • 8. 2b • Convert ppm to g per kg: 441ppm = 441μg per g
  • 9. 2b • Convert ppm to g per kg: 441ppm = 441μg per g 441,000μg per kg = 0.441g per kg
  • 10. 2b • Convert ppm to g per kg: 441ppm = 441μg per g 441,000μg per kg = 0.441g per kg • Divide by the mass of one mole of calcium:
  • 11. 2b • Convert ppm to g per kg: 441ppm = 441μg per g 441,000μg per kg = 0.441g per kg • Divide by the mass of one mole of calcium: 1 mole Ca = 40.078g
  • 12. 2b • Convert ppm to g per kg: 441ppm = 441μg per g 441,000μg per kg = 0.441g per kg • Divide by the mass of one mole of calcium: 1 mole Ca = 40.078g 0.441 40.078 = ퟎ. ퟎퟏퟐ퐦퐨퐥 퐂퐚
  • 13. 2c Seawater contains around 10.8 ppt (parts per thousand) sodium. What is this in mol/kg Na?
  • 14. 2c • Convert ppt to g per kg:
  • 15. 2c • Convert ppt to g per kg: 10.8ppt = 10.8g per kg
  • 16. 2c • Convert ppt to g per kg: 10.8ppt = 10.8g per kg • Divide by the mass of sodium:
  • 17. 2c • Convert ppt to g per kg: 10.8ppt = 10.8g per kg • Divide by the mass of sodium: 1 mole Na = 22.99g
  • 18. 2c • Convert ppt to g per kg: 10.8ppt = 10.8g per kg • Divide by the mass of sodium: 1 mole Na = 22.99g 10.8 22.99 = ퟎ. ퟒퟕ퐦퐨퐥퐤퐠−ퟏ 퐍퐚
  • 19. 2d If all river water contained 45 ppb PO43-, and flowed into the ocean at 3.6 x 1016 kg/year, what would be the flux of PO43- into the ocean in mol/yr? (Hint: First convert PO43- from ppb to molkg-1.)
  • 20. 2d • Convert from ppb to moles per kg:
  • 21. 2d • Convert from ppb to moles per kg: 45ppb = 45ng per g = 45μg per kg
  • 22. 2d • Convert from ppb to moles per kg: 45ppb = 45ng per g = 45μg per kg 1 mole PO4 3 − = 30.974 + 4 15.999 = 94.97g
  • 23. 2d • Convert from ppb to moles per kg: 45ppb = 45ng per g = 45μg per kg 1 mole PO4 3 − = 30.974 + 4 15.999 = 94.97g 45 x 10−6gkg−1 94.97g = 4.74 x 10−7molkg−1
  • 24. 2d • Convert from ppb to moles per kg: 45ppb = 45ng per g = 45μg per kg 1 mole PO4 3 − = 30.974 + 4 15.999 = 94.97g 45 x 10−6gkg−1 94.97g = 4.74 x 10−7molkg−1 • Multiply by the flux of water:
  • 25. 2d • Convert from ppb to moles per kg: 45ppb = 45ng per g = 45μg per kg 1 mole PO4 3 − = 30.974 + 4 15.999 = 94.97g 45 x 10−6gkg−1 94.97g = 4.74 x 10−7molkg−1 • Multiply by the flux of water: 4.74 x 10−7molkg−1 x 3.6 x 1016kgyr−1 = ퟏ. ퟕퟏ 퐱 ퟏퟎퟏퟎ퐦퐨퐥퐲퐫−ퟏ 퐏퐎ퟒퟑ−