Step 1: Understand the process of photosynthesis. Photosynthesis is the process by which plants, algae, and some bacteria convert carbon dioxide (CO₂) and water (H₂O) into glucose (C₆H₁₂O₆) and oxygen (O₂) using sunlight energy. This process occurs in the chloroplasts of plant cells and involves two main stages: the light-dependent reactions and the Calvin cycle.
Step 2: Recall the balanced chemical equation for photosynthesis. The overall chemical equation must account for the conservation of mass, meaning the number of atoms of each element on the reactant side must equal the number of atoms on the product side. The balanced equation is: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂.
Step 3: Analyze the options provided. The correct equation should reflect the stoichiometry of photosynthesis, where 6 molecules of carbon dioxide react with 6 molecules of water to produce 1 molecule of glucose and 6 molecules of oxygen. Any equation that does not balance the number of atoms or includes extra products is incorrect.
Step 4: Eliminate incorrect options. For example, the equation '6CO₂ + 12H₂O → C₆H₁₂O₆ + 6H₂O + 6O₂' includes extra water molecules on the product side, which is not part of the overall balanced equation for photosynthesis. Similarly, '6O₂ + C₆H₁₂O₆ → 6CO₂ + 6H₂O' represents cellular respiration, not photosynthesis.
Step 5: Confirm the correct answer. The balanced equation for photosynthesis is '6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂,' which matches the conservation of mass and represents the overall process accurately.