Write the balanced equation for the photosynthesis reaction in which gaseous carbon dioxide and liquid water react in the presence of chlorophyll to produce aqueous glucose (C6H12O6) and oxygen gas.

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1. <Write the unbalanced chemical equation for the photosynthesis reaction: \( \text{CO}_2 (g) + \text{H}_2\text{O} (l) \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 (aq) + \text{O}_2 (g) \)>
2. <Balance the carbon atoms: Since there are 6 carbon atoms in glucose (\(\text{C}_6\text{H}_{12}\text{O}_6\)), you need 6 \(\text{CO}_2\) molecules.>
3. <Balance the hydrogen atoms: Glucose has 12 hydrogen atoms, so you need 6 \(\text{H}_2\text{O}\) molecules to provide these hydrogen atoms.>
4. <Balance the oxygen atoms: Count the total oxygen atoms on both sides and adjust the \(\text{O}_2\) molecules to balance them.>
5. <Verify that all elements are balanced: Ensure that the number of atoms for each element is the same on both sides of the equation.>