Answered

Use the information from the equation and table to answer the question.



$6 A + 6 B \rightarrow C + 6 D$




ABCD

1		$C_6H_{12}O_6$$H_2O$$CO_2$$O_2$

2		$H_2O$$O_2$$C_6H_{12}O_6$$CO_2$

3		$CO_2$$H_2O$$C_6H_{12}O_6$$O_2$

4		$O_2$$C_6H_{12}O_6$$H_2O$$CO_2$






Which row accurately represents photosynthesis when substituted into the equation?

A1
B2
C3
D4

Verified Answer :

  • The photosynthesis process is represented by the equation \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\).
  • Comparing this to \(6A + 6B \rightarrow C + 6D\), we identify \(A=CO_2\), \(B=H_2O\), \(C=C_6H_{12}O_6\), and \(D=O_2\).
  • Row 3 in the provided table is the only one that lists these substances in the correct order.
  • The final answer is \(\boxed{3}\).

Explanation

  1. Analyzing the Photosynthesis Equation

The general chemical equation for photosynthesis, where plants convert carbon dioxide (\(CO_2\)) and water (\(H_2O\)) into glucose (\(C_6H_{12}O_6\)) and oxygen (\(O_2\)) in the presence of sunlight, is expressed as:
\[6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\]
Our objective is to identify which of the provided rows in the table correctly matches this equation when substituted into the generic form \(6A + 6B \rightarrow C + 6D\).

  1. Matching Components to the Generic Equation

By comparing the standard photosynthesis equation \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\) with the given format \(6A + 6B \rightarrow C + 6D\), we can identify the components:

  • \(A\) corresponds to \(CO_2\)
  • \(B\) corresponds to \(H_2O\)
  • \(C\) corresponds to \(C_6H_{12}O_6\)
  • \(D\) corresponds to \(O_2\)

Note that because addition is commutative, the order of \(A\) and \(B\) could technically be swapped, but we need to see which row matches our derived substances.

  1. Evaluating the Options

We examine the table provided:

  • Row 1: \(A=C_6H_{12}O_6\), \(B=H_2O\), \(C=CO_2\), \(D=O_2\). This does not match our components.
  • Row 2: \(A=H_2O\), \(B=O_2\), \(C=C_6H_{12}O_6\), \(D=CO_2\). This does not match our components.
  • Row 3: \(A=CO_2\), \(B=H_2O\), \(C=C_6H_{12}O_6\), \(D=O_2\). This matches our identified substances: \(A=CO_2\), \(B=H_2O\), \(C=C_6H_{12}O_6\), and \(D=O_2\). Substituting these into \(6A + 6B \rightarrow C + 6D\) gives \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\), which is correct.
  • Row 4: \(A=O_2\), \(B=C_6H_{12}O_6\), \(C=H_2O\), \(D=CO_2\). This does not match our components.

Therefore, Row 3 is the correct representation.

Examples

Understanding the chemical equations for biological processes like photosynthesis is essential for studying botany and ecology. This exercise teaches how to relate a abstract algebraic format to real-world chemical reactions, which is a foundational skill in chemistry. Similar methods of mapping variables are used in data analysis to organize experimental results or verify balanced chemical equations in laboratory reports.

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