First, find the molar mass of glucose.
• The molar mass of carbon is 12.01.
,
• The molar mass of hydrogen is 1.01.
,
• The molar mass of oxygen is 15.999.
There are 6 carbons, 12 hydrogens, and 6 oxygens. The molar mass of glucose is
[tex]6\cdot12.01+12\cdot1.01+6\cdot15.999=180.17\cdot\frac{g}{\text{mol}}[/tex]
The molar mass of glucose is 180.16 g/mol.
Now, we use dimensional analysis.
[tex]1\times10^{12}Oatoms\cdot\frac{1molecule}{6\text{ O atoms}}\cdot\frac{1\text{ mole glucose}}{6.02\times10^{23}\text{ molecules}}\cdot\frac{180.17g}{1mol}=3.00\times10^{-10}g[/tex]
Therefore, there are 3.00x10^-10 grams of glucose.
