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Biology · Introductory biology · Worked example

Compare fermentation with aerobic respiration

Yeast can live with or without oxygen. Without it, yeast ferments glucose to ethanol and CO2. How many glucose must it ferment to make the 32 ATP that aerobic respiration makes from one? How much CO2 does each path release per ATP?

Start from the aerobic total

With oxygen, one glucose gives 4 ATP directly and sends 10 NADH and 2 FADH₂ to the chain, about 32 ATP in all, as the first worked example found.

4+10⁢(2.5)+2⁢(1.5)=32

Count fermentation’s ATP

Without oxygen the chain stops. Glycolysis still nets 2 ATP and 2 NADH. Turning each pyruvate into ethanol releases one CO2 and spends one NADH, which gives back the NAD⁺ that glycolysis needs. No step after glycolysis makes ATP.

Divide the yields

Each fermented glucose gives 2 ATP, so matching 32 ATP takes 32⁢/2 glucose.

322=16

CO2 per ATP in fermentation

Fermentation releases 2 CO2 for its 2 ATP, one for each.

22=1

CO2 per ATP with oxygen

Aerobic respiration releases all six carbons as CO2 for about 32 ATP.

632=0.1875

Compare

Divide one rate by the other. Fermentation releases about 5.33 times as much CO2 for each ATP, and it burns through sugar 16 times as fast for the same ATP.

10.1875≈5.33

Result

Yeast must ferment 16 glucose to make the 32 ATP that one glucose gives with oxygen. Fermentation releases 1 CO2 per ATP and aerobic respiration about 0.19, so fermentation releases about 5.33 times as much CO2 for each ATP.

Your turn

1. One like the example

A sprinting muscle needs 64 ATP. How many glucose does it use if it makes them all by lactate fermentation, and how many with oxygen at 32 ATP per glucose?

Show the answer and explanation

32 glucose by fermentation and 2 with oxygen.

Fermentation gives 2 ATP per glucose, so 64⁢/2=32. Aerobic respiration gives about 32, so 64⁢/32=2. The ratio is 16 again, whatever the ATP demand.

642=326432=2

2. A variation

A yeast culture ferments 18 g of glucose, 0.1 mol at 180 g per mole. Each glucose gives 2 ethanol and 2 CO2. How many moles of CO2 does it release, and what mass, at 44.01 g per mole?

Show the answer and explanation

0.2 mol of CO2, about 8.80 g.

18⁢/180=0.1 mol of glucose, and 2⁢(0.1)=0.2 mol of CO2. The mass is 0.2×44.01≈8.80 g. The same culture also makes 0.2 mol of ethanol.

18180=0.12⁢(0.1)=0.20.2⁢(44.01)≈8.80

3. Somewhere new

Cyanide blocks the last protein of the electron transport chain, the one that hands electrons to oxygen. Why does a poisoned cell also stop running the citric acid cycle, and how much ATP can it still make from a glucose?

Show the answer and explanation

The cycle stops because NADH can no longer be oxidized, so NAD⁺ runs out. The cell can still make 2 ATP per glucose by glycolysis and fermentation.

Oxygen is present but cannot take electrons, so the chain backs up and NADH stays reduced. The cycle needs NAD⁺ and FAD at four of its steps and stops. Only glycolysis, kept going by fermentation, still makes ATP.

Keep exploring

Compare the yields in Math starts from the aerobic total, 4+10⁢(2.5)+2⁢(1.5) =32. Write 32⁢/2=16 under it, and each row is checked.

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