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Multiple Choice
In a sample of sucrose (C12H22O11) containing 1.0 x 10^20 atoms of carbon, how many oxygen atoms are present?
A
1.1 x 10^20 oxygen atoms
B
2.0 x 10^20 oxygen atoms
C
3.7 x 10^20 oxygen atoms
D
9.2 x 10^19 oxygen atoms
Verified step by step guidance
1
Identify the molecular formula of sucrose, which is \( \text{C}_{12}\text{H}_{22}\text{O}_{11} \). This indicates that each molecule of sucrose contains 12 carbon atoms, 22 hydrogen atoms, and 11 oxygen atoms.
Determine the ratio of carbon atoms to oxygen atoms in a single molecule of sucrose. For every 12 carbon atoms, there are 11 oxygen atoms.
Use the given number of carbon atoms, \( 1.0 \times 10^{20} \), to find the number of sucrose molecules. Since each molecule contains 12 carbon atoms, divide the total number of carbon atoms by 12 to find the number of sucrose molecules: \( \frac{1.0 \times 10^{20}}{12} \).
Calculate the number of oxygen atoms by multiplying the number of sucrose molecules by the number of oxygen atoms per molecule. Since each sucrose molecule contains 11 oxygen atoms, multiply the number of sucrose molecules by 11: \( \left( \frac{1.0 \times 10^{20}}{12} \right) \times 11 \).
Perform the multiplication and division to find the total number of oxygen atoms present in the sample.