Answered

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



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




ABCD

1		$C _6 H _{12} O _6$$H _2 O$$CO _2$$O _2$

2		$H _2 O$$O _2$$C _6 H _{12} O _6$$CO _2$

3		$CO _2$$H _2 O$$C _6 H _{12} O _6$$O _2$

4		$O _2$$C _6 H _{12} O _6$$H _2 O$$CO _2$






Which row accurately represents photosynthesis when substituted into the equation?


A1
B2
C3
D4

Verified Answer :

  • Recall the photosynthesis equation: \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\).
  • Match the schema \(6A + 6B \rightarrow C + 6D\) to the equation to find \(A=CO_2, B=H_2O, C=C_6H_{12}O_6, D=O_2\).
  • Identify Row 3 in the table as the one matching these species.
  • The correct row is \(\boxed{3}\).

Explanation

  1. Analyze the Chemical Equation for Photosynthesis

The chemical process of photosynthesis is represented by the balanced chemical equation:
\[6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\]
This equation describes how green plants convert six molecules of carbon dioxide (\(CO_2\)) and six molecules of water (\(H_2O\)) into one molecule of glucose (\(C_6H_{12}O_6\)) and six molecules of oxygen (\(O_2\)).

  1. Map the Placeholders to Chemical Species

We are given the general chemical schema:
\[6A + 6B \rightarrow C + 6D\]
By comparing this schema to the photosynthesis equation, we can determine the identities of the placeholders A, B, C, and D:

  • Comparing \(6A\) to \(6CO_2\), we find \(A = CO_2\).
  • Comparing \(6B\) to \(6H_2O\), we find \(B = H_2O\).
  • Comparing \(C\) to \(C_6H_{12}O_6\), we find \(C = C_6H_{12}O_6\).
  • Comparing \(6D\) to \(6O_2\), we find \(D = O_2\).
  1. Verify and Select the Correct Row

Now, we evaluate the provided table to identify which row corresponds to the mappings identified in the previous step:

  • Row 1: \(A = C_6H_{12}O_6\), \(B = H_2O\), \(C = CO_2\), \(D = O_2\)
  • Row 2: \(A = H_2O\), \(B = O_2\), \(C = C_6H_{12}O_6\), \(D = CO_2\)
  • Row 3: \(A = CO_2\), \(B = H_2O\), \(C = C_6H_{12}O_6\), \(D = O_2\)
  • Row 4: \(A = O_2\), \(B = C_6H_{12}O_6\), \(C = H_2O\), \(D = CO_2\)

Comparing these to our derived values (\(A=CO_2\), \(B=H_2O\), \(C=C_6H_{12}O_6\), \(D=O_2\)), we see that Row 3 is the correct match. Substituting these values into the schema \(6A + 6B \rightarrow C + 6D\) yields \(6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2\), which is the correctly balanced equation for photosynthesis.

Examples

In chemistry, identifying balanced equations is crucial for predicting the amounts of products formed from a given amount of reactants. Understanding the process of photosynthesis, such as how sunlight, water, and carbon dioxide combine, helps scientists calculate the oxygen output and glucose production in various ecosystems. This balancing skill is a foundational part of stoichiometry, which is applied in industries like pharmacy, manufacturing, and environmental science.

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