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1a How many milligrams of copper are there in a 50g rock 
sample of 80ppm copper? 
Click to navigate 
Click to enlarge
1a • Work out this proportion in grams:
1a • Work out this proportion in grams: 
80ppm = 80μg per g
1a • Work out this proportion in grams: 
80ppm = 80μg per g 
• Multiply by the mass of the sample:
1a • Work out this proportion in grams: 
80ppm = 80μg per g 
• Multiply by the mass of the sample: 
80μg x 50 = 4000μg
1a • Work out this proportion in grams: 
80ppm = 80μg per g 
• Multiply by the mass of the sample: 
80μg x 50 = 4000μg 
• Convert micrograms to milligrams:
1a • Work out this proportion in grams: 
80ppm = 80μg per g 
• Multiply by the mass of the sample: 
80μg x 50 = 4000μg 
• Convert micrograms to milligrams: 
4000 
1000 
= ퟒ퐦퐠
1b A 2g sample of seawater contains 850ng silicon. What is 
the silicon concentration in ppm?
1b • Convert to μg per g to find the ppm of 1g:
1b • Convert to μg per g to find the ppm of 1g: 
850ng = 0.85μg
1b • Convert to μg per g to find the ppm of 1g: 
850ng = 0.85μg 
0.85μg in 1g = 0.85ppm
1b • Convert to μg per g to find the ppm of 1g: 
850ng = 0.85μg 
0.85μg in 1g = 0.85ppm 
• Multiply by the mass of the sample:
1b • Convert to μg per g to find the ppm of 1g: 
850ng = 0.85μg 
0.85μg in 1g = 0.85ppm 
• Multiply by the mass of the sample: 
0.85μg in 2g = 2 x 0.85 = ퟏ. ퟕ퐩퐩퐦
1c Salinity is a unitless measurement representing grams of 
salt per 1000g of seawater (i.e. ppt of salt). Considering 
the ocean has an average salinity of 35, and contains 
roughly 1.4 x 1021kg of water, how much salt is there in 
the ocean in kg?
1c • Convert this to kg of salt per kg of water:
1c • Convert this to kg of salt per kg of water: 
35ppt = 35mg per g = 35g per kg = 0.035kg per kg
1c • Convert this to kg of salt per kg of water: 
35ppt = 35mg per g = 35g per kg = 0.035kg per kg 
• Multiply by the mass of the sample:
1c • Convert this to kg of salt per kg of water: 
35ppt = 35mg per g = 35g per kg = 0.035kg per kg 
• Multiply by the mass of the sample: 
0.035 x 1.4 x 1021 = ퟒ. ퟗ 퐱 ퟏퟎퟏퟗ퐤퐠

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W1 Example 1 Answers

  • 1. 1a How many milligrams of copper are there in a 50g rock sample of 80ppm copper? Click to navigate Click to enlarge
  • 2. 1a • Work out this proportion in grams:
  • 3. 1a • Work out this proportion in grams: 80ppm = 80μg per g
  • 4. 1a • Work out this proportion in grams: 80ppm = 80μg per g • Multiply by the mass of the sample:
  • 5. 1a • Work out this proportion in grams: 80ppm = 80μg per g • Multiply by the mass of the sample: 80μg x 50 = 4000μg
  • 6. 1a • Work out this proportion in grams: 80ppm = 80μg per g • Multiply by the mass of the sample: 80μg x 50 = 4000μg • Convert micrograms to milligrams:
  • 7. 1a • Work out this proportion in grams: 80ppm = 80μg per g • Multiply by the mass of the sample: 80μg x 50 = 4000μg • Convert micrograms to milligrams: 4000 1000 = ퟒ퐦퐠
  • 8. 1b A 2g sample of seawater contains 850ng silicon. What is the silicon concentration in ppm?
  • 9. 1b • Convert to μg per g to find the ppm of 1g:
  • 10. 1b • Convert to μg per g to find the ppm of 1g: 850ng = 0.85μg
  • 11. 1b • Convert to μg per g to find the ppm of 1g: 850ng = 0.85μg 0.85μg in 1g = 0.85ppm
  • 12. 1b • Convert to μg per g to find the ppm of 1g: 850ng = 0.85μg 0.85μg in 1g = 0.85ppm • Multiply by the mass of the sample:
  • 13. 1b • Convert to μg per g to find the ppm of 1g: 850ng = 0.85μg 0.85μg in 1g = 0.85ppm • Multiply by the mass of the sample: 0.85μg in 2g = 2 x 0.85 = ퟏ. ퟕ퐩퐩퐦
  • 14. 1c Salinity is a unitless measurement representing grams of salt per 1000g of seawater (i.e. ppt of salt). Considering the ocean has an average salinity of 35, and contains roughly 1.4 x 1021kg of water, how much salt is there in the ocean in kg?
  • 15. 1c • Convert this to kg of salt per kg of water:
  • 16. 1c • Convert this to kg of salt per kg of water: 35ppt = 35mg per g = 35g per kg = 0.035kg per kg
  • 17. 1c • Convert this to kg of salt per kg of water: 35ppt = 35mg per g = 35g per kg = 0.035kg per kg • Multiply by the mass of the sample:
  • 18. 1c • Convert this to kg of salt per kg of water: 35ppt = 35mg per g = 35g per kg = 0.035kg per kg • Multiply by the mass of the sample: 0.035 x 1.4 x 1021 = ퟒ. ퟗ 퐱 ퟏퟎퟏퟗ퐤퐠