Reference Section \(3.2\) to find the atomic masses of \({ }^{12} \mathrm{C}\) and
\({ }^{13} \mathrm{C}\), the relative abundance of \({ }^{12} \mathrm{C}\) and \({
}^{13} \mathrm{C}\) in natural carbon, and the average mass (in u) of a carbon
atom. If you had a sample of natural carbon containing exactly 10,000 atoms,
determine the number of \({ }^{12} \mathrm{C}\) and \({ }^{1.3} \mathrm{C}\) atoms
present. What would be the average mass (in u) and the total mass (in u) of
the carbon atoms in this 10,000 -atom sample? If you had a sample of natural
carbon containing \(6.0221 \times 10^{23}\) atoms, determine the number of \({
}^{12} \mathrm{C}\) and \({ }^{13} \mathrm{C}\) atoms present. What would be the
average mass (in u) and the total mass (in u) of this \(6.0221 \times 10^{23}\)
atom sample? Given that \(1 \mathrm{~g}=6.0221 \times 10^{23} \mathrm{u}\), what
is the total mass of 1 mole of natural carbon in units of grams?