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If I understand it correctly photosynthesis is an endothermic reaction. Energy from the sun is used to form glucose.

Next the glucose is turned into starch. Would this be a combination reaction? If so, is that then an exothermic reaction?

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    $\begingroup$ Consider also energy outcome of the whole biochemical enzymatic process of starch synthesis, that may have different energy outcome than the formal direct starch synthesis from glucose. $\endgroup$
    – Poutnik
    Commented Nov 8, 2022 at 9:04
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    $\begingroup$ Related: Why are condensation reactions endergonic? $\endgroup$ Commented Nov 8, 2022 at 14:23
  • $\begingroup$ If you want to see what drives this low energy reaction, you have to consider that e.g. the released water is likely to partially evaporate. And the starch crystallises, i.e. removes itself from the reaction equillibrium. $\endgroup$
    – Karl
    Commented Nov 8, 2022 at 21:16

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The formation of 1,4-alpha glycosidic bond between two glucose monomers in starch, and more generally of glycosidic bonds between monosaccharide monomers to form polysaccharides, involves a dehydration reaction, a type of condensation reaction, but is not a combination reaction since two products form.

A condensation step in the polymerization may be written schematically as

$$ \ce{-(C5H10O4)C(H)-\color{red}{OH} + \color{red}{H}-OC(H)(C5H10O5) -> -(C5H10O4)C(H)-O-C(H)(C5H10O5) + \color{red}{H2O}}$$

Note what happens:

  • one C-O bond is cleaved (dehydration)
  • one OH bond is cleaved (dehydration)
  • one C-O bond forms (the bridging glycosidic ether bond)
  • one OH bond forms (forming water)

So no net bonds are formed.

You can estimate the enthalpy from the difference in bond dissociation energies $^1$ for OH in water and in methanol, 463.5 kJ/mol versus 437.6 kJ/mol, respectively, and assuming the CO bonds have similar energies. The difference is -25.9 kJ/mol, so slightly exothermic.

You can also estimate the enthalpy change from heats of combustion$^2$ for glucose and maltose (or starch of course), ie the following reactions:

$ \ce{2 C6H12O6(s) + 12 O2(g) -> 12 CO2(g) + 12 H2O(l)} ~~~ \Delta_\textrm{c} H = -2 \times 3138.0 \pu{kJ/mol}\\ \ce{C12H22O11(s) + 12 O2(g) -> 12 CO2(g) + 11 H2O(l)} ~~~ \Delta_\textrm{c} H = -5655.7 \pu{kJ/mol}$

The heat of formation of maltose from glucose is equal to the difference between the heats of combustion in the previous reactions, or -620.2 kJ/mol. You can estimate a similar value for starch. However this number is computed for formation of one solid from the other, not for addition of a monomer to starch in solution (the initial and final states matter).

The two estimates are very different but then again, the real hydrolysis or formation of such a glycosidic bond in starch is bound to be more complicated$^3$.

Note the drawn reaction is the net process and that as is typical of biochemical processes, the actual reaction involves various enzymes, here that activate the glucose monomer by converting it into glucose-ADP by reaction with ATP, and then facilitate encounter of the activated monomer with the growing starch polymer. You can read more about the definition of individual terms elsewhere, such as in the Wikipedia.

References

  1. CRC handbook of Chemistry and Physics, 85th ed., D. R. Lide, ed., CRC press, Boca Raton, FL, 2004, p 9-65.

  2. Sánchez-Peña, M. J.; Martínez-Navarro, A. G.; Márquez-Sandoval, F.; Gutiérrez-Pulido, H.; Pacheco-Moisés, F. P.; González-Ortiz, L. J. Heats of Combustion of the Main Carbohydrates Contained in Plant-Source Foods. Nutrition Reviews 2020, 78 (5), 382–393. https://doi.org/10.1093/nutrit/nuz063.

  3. (1) Sørensen, T. H.; Cruys-Bagger, N.; Borch, K.; Westh, P. Free Energy Diagram for the Heterogeneous Enzymatic Hydrolysis of Glycosidic Bonds in Cellulose. Journal of Biological Chemistry 2015, 290 (36), 22203–22211. https://doi.org/10.1074/jbc.M115.659656.

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    $\begingroup$ Only one new O-H bond is formed, since the OH comes off the substrate intact so it's just HO + H, so I think your calculation is not valid $\endgroup$
    – Andrew
    Commented Nov 8, 2022 at 13:17
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    $\begingroup$ There is no difference in number of bonds. There's only slight difference between bond strengths and an entropic effect. Both aren't all that obvious. Whatever they are, polymers like this tend to hydrolyse in acids, so overall the polymerisation isn't particularly favourable. $\endgroup$
    – Mithoron
    Commented Nov 8, 2022 at 14:14
  • $\begingroup$ @Andrew Yes, what a miss. I try again. $\endgroup$
    – Buck Thorn
    Commented Nov 8, 2022 at 16:13
  • $\begingroup$ @Mithoron Are you saying the equations are unbalanced (they are not), or that the heat of reaction glucose->maltose is not equal simply to the difference in heats of combustion of those two reactions? $\endgroup$
    – Buck Thorn
    Commented Nov 9, 2022 at 8:26
  • $\begingroup$ This -620.2 kJ/mol way to high, and I was wondering why. Difference between solid and aq is not enough, but I don't think I found the reason yet. $\endgroup$
    – Mithoron
    Commented Nov 12, 2022 at 17:17

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