- Recall the balanced photosynthesis equation: \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\).
- Map the variables in the template \(6A + 6B \rightarrow C + 6D\) to the reactants and products: \(A=CO_2\), \(B=H_2O\), \(C=C_6H_{12}O_6\), and \(D=O_2\).
- Compare this mapping with the options in the table to identify that row 3 provides the correct assignments.
- Conclude that row 3 represents photosynthesis correctly, thus the final answer is \(\boxed{3}\).
Explanation
- Recall the Photosynthesis Equation
To identify the correct row representing photosynthesis, we begin by recalling the standard balanced chemical equation for the process of photosynthesis:
\[6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2.\]
In this equation, \(CO_2\) (carbon dioxide) and \(H_2O\) (water) are the reactants, while \(C_6H_{12}O_6\) (glucose) and \(O_2\) (oxygen) are the products.
- Mapping the Variables to the Template Equation
The provided template equation is:
\[6A + 6B \rightarrow C + 6D.\]
By comparing this to the photosynthesis equation \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\), we can map the variables as follows:
- \(A = CO_2\)
- \(B = H_2O\)
- \(C = C_6H_{12}O_6\)
- \(D = O_2\)
This mapping ensures that the reactant coefficients (6) and product coefficients (1 and 6) align perfectly with the standard chemical equation.
- Evaluating the Table Options
Now, we evaluate each row in the provided table to see which one matches our determined mapping (\(A = CO_2, B = H_2O, C = C_6H_{12}O_6, D = O_2\)):
- Row 1: \(A=C_6H_{12}O_6\), \(B=H_2O\), \(C=CO_2\), \(D=O_2\) (Incorrect)
- Row 2: \(A=H_2O\), \(B=O_2\), \(C=C_6H_{12}O_6\), \(D=CO_2\) (Incorrect)
- Row 3: \(A=CO_2\), \(B=H_2O\), \(C=C_6H_{12}O_6\), \(D=O_2\) (Matches our mapping)
- Row 4: \(A=O_2\), \(B=C_6H_{12}O_6\), \(C=H_2O\), \(D=CO_2\) (Incorrect)
Thus, Row 3 is the correct representation.
- Conclusion
Based on the comparison, row 3 is the only one that correctly maps the chemical compounds to the variables \(A, B, C,\) and \(D\) according to the balanced equation for photosynthesis. Therefore, the correct choice is row 3. Final answer is \(\boxed{3}\).
Examples
Understanding the chemical processes like photosynthesis is essential in biology and environmental science. For instance, plants use sunlight to convert carbon dioxide and water into glucose and oxygen, which supports life on Earth. By recognizing the chemical formulas and their stoichiometric ratios in equations, we can model how ecosystems produce energy and recycle gases. This skill helps scientists track carbon cycles and understand how environmental changes affect plant growth and oxygen production.