To determine the number of moles of each element present in 2 moles of glucose ([tex]\( \text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex]), follow these detailed steps:
1. Molecular formula of glucose:
The chemical formula of glucose is [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex]. This indicates that one molecule of glucose contains 6 carbon atoms, 12 hydrogen atoms, and 6 oxygen atoms.
2. Number of moles of glucose:
We are given 2 moles of glucose.
3. Calculate moles of each element:
Since 1 mole of glucose contains the specified number of atoms of each element, we can scale this up to 2 moles of glucose.
- Carbon:
- In 1 mole of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], there are 6 moles of carbon atoms.
- Therefore, in 2 moles of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], the number of moles of carbon is:
[tex]\[
6 \text{ moles of C} \times 2 = 12 \text{ moles of C}
\][/tex]
- Hydrogen:
- In 1 mole of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], there are 12 moles of hydrogen atoms.
- Therefore, in 2 moles of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], the number of moles of hydrogen is:
[tex]\[
12 \text{ moles of H} \times 2 = 24 \text{ moles of H}
\][/tex]
- Oxygen:
- In 1 mole of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], there are 6 moles of oxygen atoms.
- Therefore, in 2 moles of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], the number of moles of oxygen is:
[tex]\[
6 \text{ moles of O} \times 2 = 12 \text{ moles of O}
\][/tex]
Thus, in 2 moles of [tex]\(\text{C}_6 \text{H}_{12} \text{O}_6 \)[/tex], there are:
- 12 moles of carbon ([tex]\(\text{C}\)[/tex]),
- 24 moles of hydrogen ([tex]\(\text{H}\)[/tex]),
- 12 moles of oxygen ([tex]\(\text{O}\)[/tex]).
The final result is:
[tex]\[
(12 \text{ moles of C}, 24 \text{ moles of H}, 12 \text{ moles of O})
\][/tex]
