Question

A Person Adds $1.71$ Gram Of Sugar. In Order To Sweeten His Tea. The Number Of Carbon Atoms Added Are

Answer 1

Step 1: calculating number of moles

• The number of moles is the mass to molar mass ratio.
• Moles of sugar $=\frac{\mathrm{mass}}{\mathrm{molar}\mathrm{mass}}=\frac{1.71}{342}=\frac{1}{200}\mathrm{mol}$

Step 2: Finding no. of carbon atoms

• The number of molecules is calculated by multiplying the number of moles by Avogadro's number ${\mathrm{N}}_{\mathrm{A}}=6.023\times {10}^{23}$
• The number of molecules is $=\frac{1}{200}\times {\mathrm{N}}_{\mathrm{A}}$
  
• The number of C atoms is $$\begin{gathered} =12\times \frac{1}{200}\times {\mathrm{N}}_{\mathrm{A}} \\ =12\times \frac{1}{200}\times 6.022\times {10}^{23} \\ =3.6\times {10}^{22} \end{gathered}$$

Hence, the number of carbon atoms in $1.71$g of sugar is $3.6\times {10}^{22}$.