Account for atoms in aerobic respiration
Use reactant limits and atom accounting to explain a respiratory endpoint.
Learning outcome: Balance an ideal glucose-oxygen reaction and distinguish its material endpoint from rate and ATP yield.
Starting recap
One mmol represents a fixed number of molecules. A glucose molecule contains 6 carbon, 12 hydrogen and 6 oxygen atoms; O₂ contains two oxygen atoms.
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Try
A system has 2 mmol glucose but only 6 mmol oxygen. The ideal equation requires 6 mmol oxygen for each mmol glucose oxidized.
Open the experimentPredict
Predict how much glucose can be fully oxidized and how much remains. Does unused glucose prove that energy conversion cannot occur by any other pathway?
Experiment
Keep glucose at 2. Compare oxygen 6, 12 and 18 mmol. Capture the limiting and excess cases. Check carbon atoms before and after, including unreacted glucose.
Balance a limited aerobic reaction
Worked teaching model · synthetic values · An ideal reaction extent follows glucose + 6 O₂ → 6 CO₂ + 6 H₂O. Complete aerobic oxidation is the only modeled pathway. The limiting reactant caps the endpoint; no rate, ATP yield, fermentation or living-cell regulation is modeled.
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Atom ledger for the whole reacting system
Glucose + 6 O₂ → 6 CO₂ + 6 H₂O. Include unused reactants when checking the endpoint.
| Element | Initially | At endpoint |
|---|---|---|
| Carbon | 12 | 12 |
| Hydrogen | 24 | 24 |
| Oxygen | 24 | 24 |
Coefficients count molecules; subscripts count atoms within a molecule. Equal atom totals do not imply equal numbers of molecules.
| Row | Quantity | Value (mmol) |
|---|---|---|
| 1 | Glucose oxidized | 1 |
| 2 | Glucose remaining | 1 |
| 3 | Oxygen consumed | 6 |
| 4 | Oxygen remaining | 0 |
| 5 | Carbon dioxide formed | 6 |
| 6 | Water formed | 6 |
Ideal reaction extent: 1.00 mmol glucose. Oxygen limits this endpoint.
Extent = minimum(available glucose, available oxygen / 6). Each mmol glucose supplies 6 mmol carbon atoms, which appear in 6 mmol CO₂. Counts of molecules need not be conserved; counts of each kind of atom are.
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Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Explain why this endpoint calculation cannot determine how quickly a cell consumes glucose or how much ATP it makes.
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