To determine the missing coefficient for water in the equation of cellular respiration, let's balance the equation step by step.
The general equation for cellular respiration is:
\[
\text{C}6\text{H}{12}\text{O}_6 + 6\text{O}_2 \rightarrow 6\text{CO}_2 + ?\text{H}_2\text{O} + \text{Energy}
\]
Balancing the equation:
-
Carbons:
- In one molecule of glucose (C₆H₁₂O₆), there are 6 carbon atoms.
- Thus, to balance carbons, we produce 6 CO₂. (Balanced)
-
Oxygens:
- In glucose, there are 6 oxygen atoms.
- Each molecule of glucose also reacts with 6 O₂, providing 12 oxygen atoms (6 from glucose and 6 from O₂).
- On the product side, we have 6 CO₂, which contributes 12 oxygen atoms (6 × 2 = 12) and ?H₂O which contributes oxygen as well.
So we have:
- 12 O (from CO₂) + ? O (from H₂O) = 12 O (from glucose and O₂)
- Since we are starting with 12 O in total (6 from glucose and 6 from 6 O₂), we can simplify the situation.
Given that we are using O₂ to create CO₂ and H₂O:
- Each H₂O contributes 1 oxygen.
- Since we already have 12 from CO₂, we have the following contribution:
- 6 from each CO₂ (6 molecules) + X from H₂O = 12 total O.
For every two molecules of water produced, we need two oxygen atoms, hence:
Let’s count up to the total, substituting different values for H₂O to find the missing coefficient.
Through trial:
If we set ? = 6:
6 CO₂ contributes 12 O, 6 H₂O contributes another 6 O.
Total = 12 + 6 = 18.
This output exceeds the initial amount, meaning this is not accurate.
Instead if we assume ? = 6, we effectively have 6H₂O producing, reducing the original O use.
After several iterations, we find that the total must be 6H₂O.
So the answer is:
6