Question

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

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Solution

## Step 1: calculating number of molesThe 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 atomsThe number of molecules is calculated by multiplying the number of moles by Avogadro's number ${\mathrm{N}}_{\mathrm{A}}=6.023×{10}^{23}$The number of molecules is $=\frac{1}{200}×{\mathrm{N}}_{\mathrm{A}}$ The number of C atoms is $=12×\frac{1}{200}×{\mathrm{N}}_{\mathrm{A}}\phantom{\rule{0ex}{0ex}}=12×\frac{1}{200}×6.022×{10}^{23}\phantom{\rule{0ex}{0ex}}=3.6×{10}^{22}$Hence, the number of carbon atoms in $1.71$g of sugar is $3.6×{10}^{22}$.

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