How many moles of sodium carbonate (Na2CO3) contain 1.773 × 10^{17} carbon atoms?

• A. 2.95 × 10^{-6} moles
• B. 1.07 × 10^{-7} moles
• C. 1.77 × 10^{-6} moles
• D. 2.94 × 10^{-7} moles

Answer: (D)

Verified step by step guidance

1. Identify the relationship between moles of sodium carbonate (Na\_2CO\_3) and the number of carbon atoms. Each mole of Na\_2CO\_3 contains exactly 1 mole of carbon atoms because there is one carbon atom per formula unit.
2. Use Avogadro's number, which is \$6.022 \times 10^{23}\( entities per mole, to relate the number of carbon atoms to moles of carbon atoms. The formula to find moles from number of atoms is: \)moles = \frac{\text{number of atoms}}{6.022 \times 10^{23}}$
3. Calculate the moles of carbon atoms by dividing the given number of carbon atoms, \$1.773 \times 10^{17}$, by Avogadro's number.
4. Since the moles of carbon atoms correspond directly to the moles of sodium carbonate (because each formula unit contains one carbon atom), the moles of sodium carbonate are equal to the moles of carbon atoms calculated.
5. Compare your calculated moles of sodium carbonate to the given answer choices to identify the correct value.