Final answer:
To find the number of carbon atoms in 885 micrograms of carbon, you convert micrograms to grams, grams to moles, and then moles to atoms using the molar mass of carbon and Avogadro's number. You'll find approximately 4.44 × 10¹⁷ atoms of carbon.
Step-by-step explanation:
To determine how many atoms of carbon are in 885 micrograms of carbon, we need to use the molar mass of carbon and Avogadro's number. The molar mass of carbon is 12.011 g/mol, and Avogadro's number is 6.022 × 10²³ atoms/mol, which tells us the number of atoms in one mole of carbon.
First, we convert micrograms to grams:
885 micrograms × (1 gram / 1,000,000 micrograms) = 8.85 × 10⁻· grams of carbon.
Next, we convert grams to moles:
8.85 × 10⁻· grams of carbon × (1 mole / 12.011 grams) = 7.37 × 10⁻· moles of carbon.
Finally, we convert moles to atoms using Avogadro's number:
7.37 × 10⁻· moles of carbon × (6.022 × 10²³ atoms / 1 mole) ≈ 4.44 × 10¹⁷ atoms of carbon.
Therefore, there are approximately 4.44 × 10¹⁷ atoms of carbon in 885 micrograms of carbon.