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Answer :
To find out how many atoms of carbon are in 6.00 grams of carbon, follow these steps:
1. Molar Mass of Carbon: The molar mass of carbon is 12 grams per mole. This means that 12 grams of carbon is equivalent to 1 mole of carbon.
2. Determine the Moles of Carbon:
- You have 6.00 grams of carbon. To find out how many moles this is, you divide the mass of carbon by its molar mass.
- Calculation: [tex]\( \text{Moles of carbon} = \frac{6.00 \, \text{grams}}{12 \, \text{grams/mole}} = 0.5 \, \text{moles} \)[/tex].
3. Number of Atoms Using Avogadro's Number:
- Avogadro's number is [tex]\( 6.022 \times 10^{23} \)[/tex] atoms per mole. This number represents how many atoms or molecules are in one mole of a substance.
- To find out how many atoms are in 0.5 moles of carbon, multiply the number of moles by Avogadro's number.
- Calculation: [tex]\( \text{Atoms of carbon} = 0.5 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} = 3.011 \times 10^{23} \, \text{atoms} \)[/tex].
Therefore, there are [tex]\( 3.011 \times 10^{23} \)[/tex] atoms of carbon in 6.00 grams of carbon.
1. Molar Mass of Carbon: The molar mass of carbon is 12 grams per mole. This means that 12 grams of carbon is equivalent to 1 mole of carbon.
2. Determine the Moles of Carbon:
- You have 6.00 grams of carbon. To find out how many moles this is, you divide the mass of carbon by its molar mass.
- Calculation: [tex]\( \text{Moles of carbon} = \frac{6.00 \, \text{grams}}{12 \, \text{grams/mole}} = 0.5 \, \text{moles} \)[/tex].
3. Number of Atoms Using Avogadro's Number:
- Avogadro's number is [tex]\( 6.022 \times 10^{23} \)[/tex] atoms per mole. This number represents how many atoms or molecules are in one mole of a substance.
- To find out how many atoms are in 0.5 moles of carbon, multiply the number of moles by Avogadro's number.
- Calculation: [tex]\( \text{Atoms of carbon} = 0.5 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} = 3.011 \times 10^{23} \, \text{atoms} \)[/tex].
Therefore, there are [tex]\( 3.011 \times 10^{23} \)[/tex] atoms of carbon in 6.00 grams of carbon.
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