Question

Calculate the mass of $3.011\mathrm{x}{10}^{24}$ atoms of carbon.

Answer 1

Step 1: Given data

Number of atoms of carbon $\left(\mathrm{C}\right)$ = $3.011\mathrm{x}{10}^{24}$

Step 2: Determine the number of moles

Number of moles of carbon = (Number of atoms)/(Avogadro's number)

Number of moles of carbon = $\frac{\left(3.011\mathrm{x}{10}^{24}\right)}{\left(6.022\mathrm{x}{10}^{23}\right)}$= $5\mathrm{mol}$

Step 3: Determine the mass of carbon

Mass of carbon = (Number of moles of carbon) x (Atomic mass of carbon)

Mass of carbon = $(5\mathrm{mol})\times \left(12\frac{\mathrm{g}}{\mathrm{mol}}\right)$ = $60\mathrm{g}$

Hence, the mass of carbon is $60\mathrm{g}$.