From the question, we are given the following parameters
Moles of Carbon = 5.11 moles
Acording to the Avogadro's constant;
[tex]1\text{mole of C=6.02}\times10^{23}atoms[/tex]The number of atoms contained in 5.11 moles of Carbon will be expressed as:
[tex]\begin{gathered} number\text{ of carbon atom=}5.11\times6.02\times10^{23} \\ number\text{ of carbon atom}=30.7622\times10^{23} \\ number\text{ of carbon atom}=3.08\times10^{24}atoms \end{gathered}[/tex]
Therefore the number of carbon atoms that are in 5.11 moles of C is
3.08 * 10²⁴atoms
