- The mass of 54 molecules of carbon dioxide is 3.95 × 10²⁵ grams.
- The mass of 3.65 x 10²⁴ molecules of water is 10.98 grams.
How to calculate mass?
The mass of a substance with given number of molecules can be calculated by first finding the number of moles in the substance as follows:
No. of moles = no of molecules ÷ Avogadro's number
- Moles of carbon dioxide = 54 ÷ 6.02 × 10²³ = 8.97 × 10²³ moles
- Moles of water = 3.65 x 10²⁴ ÷ 6.02 × 10²³ = 0.61 moles
Mass of these substances can be calculated by multiplying the number of moles by their molar mass as follows:
- Mass of carbon dioxide = 8.97 × 10²³ moles × 44 g/mol = 3.95 × 10²⁵ grams.
- Mass of water = 0.61 moles × 18 g/mol = 10.98 grams
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