How many moles of atoms are present in 2.00 g of 13C?

• A. 0.167 mol
• B. 0.256 mol
• C. 0.200 mol
• D. 0.154 mol

Answer: (D)

Verified step by step guidance

1. Identify the given information: the mass of the sample is 2.00 g and the isotope is carbon-13 (\(^{13}C\)), which has a molar mass of approximately 13.0 g/mol.
2. Recall the formula to calculate moles from mass: \[ \text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \]
3. Substitute the known values into the formula: \[ \text{moles of } ^{13}C = \frac{2.00 \text{ g}}{13.0 \text{ g/mol}} \]
4. Calculate the moles of \(^{13}C\) atoms using the division, which will give the number of moles of atoms present in the sample.
5. Interpret the result as the number of moles of atoms because each mole of \(^{13}C\) corresponds to one mole of carbon atoms.