Hi, in fact cellular respiration does produce a part of the water the body needs, but it is a quite unsignificant amout. I could open my books and tell you the exact amount but your equation seemed right.

Well, i can tell you this:
Glycolysis also produces one molecule of water from 2-phosphoglycerate to phosphoenolpiruvate.(so 2 extra molecules of water are produced this way). On the other hand the Krebs cycle uses up 2 molecules of water per glucose when it turns fumarate into malate.
The answer to your question lies at the electron transport chain. i have been killing my brains trying to figure out how. I know 1000% that for every 2 NADH or FADH2 molecules one water molecule is produced. What i can not understand is how the heck?!? Cause every NADH molecule carries 2 electrons, and it should be enough to reduce one water molecule. Sorry, i just never realised this problem before. I will post it here as soon as i have an answer

Kreb cycle uses 3 molecules of H2O for every pyruvate that enters it.
Equation : C3H4O3 + 3H2O = 3CO2 + 10 H (for ETS). Yes, 1 molecule of H2O will be releases when fumarate turn to malate. The other 2 H2O, I am not sure.
Sham

krebs cycle uses H2O? Where? Maybe it says that 3 water molecules take place in the Krebs cycle. Cause conversion of citrate to isocitrate is done by extracting and then inserting a water molecule.

Colleagues: Well I think I have found another point of water consumption. Most diagrams of the Kreb’s Cycle in text books show water being released as a waste product between Citrate and cis-Aconitate and then this is usually followed by an illustration of a single water molecule being consumed in converting cis Aconitate into D-isocitrate. Net water gain zero. One in one out. Later in the Kreb’s cycle a single water molecule is consumed in converting fumarate into malate. This gives you one water molecule consumed per acetyl Co A or two consumed per glucose catabolized just within the Kreb’s. These 2 Kreb cycle consumed waters balance against the 2 produced via enolase during the glycolytic conversion of two 2-phosphoglycerate molecules into two phospho-enol pyruvate molecules. But what most text books never show is that during the Kreb’s cycle and specifically during the combination reaction of acetylCoA plus oxaloacteate to form citrate via citrate synthase that a single water molecule is consumed. That is one additional water consumption per acetyl CoA then typically illustrated or 2 water consumptions per each catabolized glucose during the Kreb’s, So if 10 NADH’s and 2 FADH2s each drop off 2e-to the ETC with each combining with 1/2O2 and 2H+ to reduce the oxygen then 12 water molecules should be formed. If we subtract the 2 waters consumed during citrate formation that brings us down to 10 water molecules net. Which is still 4 more then the net equation suggests (C6H12O6 +6 O2 –> 6CO2 +6H2O). So somewhere else 4 water molecules must be consumed…but where is still a mystery. Maybe in the oxidation reactions of pyruvate that from acetyl CoA or maybe hidden within the reactions of glycolysis, The website: https://www.boundless.com/image/the-citric-acid-cycle/ shows the water productions and consumptions I have mentioned above. The key may lie in searching for and finding better metabolic pathway diagrams that dont conceal these water consumptions similar to the way that most textbooks never ever show that citrate formation consumes water as acetyl CoA and oxaloacetate combine. The other issue is that I have assumed that only one water is consumed in converting fumarate to malate or in forming citrate…what if 2 or more are consumed per each of these conversions. I think we are closer to a resolution but we still have some more research to do to get the bottom of this issue.

I did a google search for "aldolase glycolysis" and found a biochem website at Georgia Tech that posted a powerpoint link

ww2.chemistry.gatech.edu/~lw26/bCourse…/3511/…/16-glycolysis.ppt‎

In that powerpoint they show that the aldolase enzyme executing a reverse aldol condensation that consumes one water molecule per Dihydroxyacetone produced during the splitting of one fructose 1,6 bis phosphate. So with the 2 consumed during citrate formation we are now down to 12 -3 waters or 9 waters produced. 3 are still in excess of the equation but I am sure that those can be found by looking at better biochemistry resources where they show more details about the individual reactions occurring in the active sites of the enzymes.

Just was thinking about this problem recently and I think I have the solution.

Enzymes in cellular respiration involving water molecules :
Glycolysis:
Enolase (EC 4.2.1.11) produces 1 H2O (+2 H2O per glucose)

Krebs Cycle:
Aconitase (EC 4.2.1.3) uses up 1 H2O, produces 1 H2O (no net change)
Fumarase (EC 4.2.1.2) uses up 1 H2O (-2 H2O per glucose)
Citrate synthase (EC 2.2.3.1) uses up 1 H2O (-2 H2O per glucose)
http://www.sbcs.qmul.ac.uk/iubmb/enzyme/reaction/misc/CAcycle.html

Electron Transport:
Cytochrome c oxidase (EC 1.9.3.1) produces 2 H2O per O2 (+12 H2O per glucose)

Net Water Molecule Change: +10 H2O per glucose

Let us now observe the precise net reaction of cellular respiration, excluding the ATP synthase enzyme, which brings in a lot of uncertainty, but it only affects ATP production, and nothing else,so it can be excluded for our purposes.

C6H12O6 + 6 O2 + 2 ADP[3-] + 2 GDP[3-] + 4 H2PO4[-] –> 6 CO2 + 10 H2O + 2 ATP[4-] + 2GTP[4-]
Please Note:
**H2PO4 is an inorganic phosphate/phosphate group**
**charged ions denoted: ion[charge]**

So why is the following reaction the most commonly referenced one? What happens to the ‘extra’ 4 H2O?

C6H12O6 + 6 O2 –> 6 CO2 + 6 H2O

This is because when ADP/GDP gains a phosphate to become ATP/GTP, it also creates a water molecule (see reactions below).
In reverse, a water molecule is used up when converting ATP/GTP to ADP/GDP.
Since cellular respiration makes 2 ATP in glycolysis and 2 GTP in the Krebs Cycle (per glucose), adding the following reactions to the precise net cellular respiration (given earlier) reaction will give us the commonly seen one.

Hydrolysis of ATP/GTP:
2 ATP[4-] + 2 H2O –> 2 ADP[3-] + 2 H2PO4[-]
2 GTP[4-] + 2 H2O –> 2 GDP[3-] + 2 H2PO4[-]
We add our 2 ATP, 2 GTP, and 4 H2O (extra products) together to form 2 ADP, 2 GDP, and 4 H2PO4 (extra reactants).
This will change the following reaction (given earlier):

C6H12O6 + 6 O2 + 2 ADP[3-] + 2 GDP[3-] + 4 H2PO4[-] –> 6 CO2 + 10 H2O + 2 ATP[4-] + 2GTP[4-]

To:
C6H12O6 + 6 O2 –> 6 CO2 + 6 H2O

This means the above equation is perfectly accurate, as long as the cell decides to right away use the ATP/GTP it just produced, which does not necessarily happen. However, the simplified equation gives a big picture view of what goes on in the reaction. The following is my derived equation for cellular respiration, where X is a variable representing the number of ATP molecules produced (For simplicity, I have clumped GDP/GTP molecules with ADP/ATP molecules). Since the substrate-level phosphorylations (in glycolysis & Krebs cycle) always produce at least 4 ATP/GTP, X is always at least four, but making it zero gives the simplified equation, I believe this is where it was derived from.

C6H12O6 + 6 O2 + X ADP[3-] + X H2PO4[-] –> 6 CO2 + 6 H2O + X H2O + X ATP[4-]

Thank you for your valuable information