Final answer:
In photosynthesis, glucose is produced from carbon dioxide and water. To find the mass of glucose produced from a given mass of carbon dioxide, we can use the molar masses and mole ratios in the balanced equation.
Step-by-step explanation:
In photosynthesis, one molecule of glucose reacts with 6 molecules of oxygen (O₂) to yield 6 molecules of carbon dioxide (CO₂) and 6 molecules of water (H₂O). This reaction can be represented as
C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O
To determine the mass of glucose produced from a given amount of carbon dioxide, we need to know the molar masses of the compounds involved. The molar mass of glucose is 180.16 g/mol and the molar mass of carbon dioxide is 44.010 g/mol. Using the mole ratios from the balanced equation, we can set up a proportion
Solving for x, we find that the mass of glucose produced is approximately 8.667 g.