Answer :
Answer:
2.89x10²⁴ atoms of Carbon are contained in 0.400 moles of sucrose
Explanation:
The formula of sucrose is C₁₂H₂₂O₁₁, that means per mole of sucrose you will have 12 moles of carbon. In 0.400 moles of sucrose you will have:
0.400 moles Sucrose * (12 moles C / 1 mole Sucrose) = 4.8 moles of Carbon
To convert moles to atoms you must use Avogadro's number (1 mole contains 6.022x10²³ atoms):
4.8 moles Carbon * (6.022x10²³ atoms / 1 mole) =
2.89x10²⁴ atoms of Carbon are contained in 0.400 moles of sucrose
0.4 mole of sucrose, C₁₂H₂₂O₁₁ contains 2.89×10²⁴ carbon atoms
How to determine the mole of carbon
1 mole of C₁₂H₂₂O₁₁ contains 12 mole of C.
Therefore,
0.4 mole of C₁₂H₂₂O₁₁ will contain = 0.4 × 12 = 4.8 mole of C
How to determine the atoms of carbon
From Avogadro's hypothesis,
1 mole of C = 6.02×10²³ atoms
Therefore,
4.8 mole of C = 2.89×10²⁴ atoms
Thus, 0.4 mole of sucrose, C₁₂H₂₂O₁₁ contains 2.89×10²⁴ carbon atoms
Learn more about Avogadro's number:
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