Molecular Separation of Water: Energy Needed?

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SUMMARY

The energy required for the molecular separation of water into hydrogen (H2) and oxygen (O2) through electrolysis is determined by analyzing the half-reactions involved in the redox process. The relevant half-reactions are 4H+ + 4e- → 2H2 and 2O2- → O2 + 4e-. To calculate the total energy in electron volts (eV) per molecule, one must consider the bond energies and dissociation enthalpies of hydrogen and oxygen, as well as apply Hess' Law. The free energy change can be calculated using the equation ΔGo = -nFΔEo, where ΔEo is approximately -1.23 V for the reaction H2O → H2 + ½ O2.

PREREQUISITES
  • Understanding of electrolysis and redox reactions
  • Familiarity with Hess' Law and thermodynamic principles
  • Knowledge of bond energies and dissociation enthalpies
  • Basic grasp of free energy and its calculations
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  • Research the specific bond energies of H2 and O2 in electron volts (eV)
  • Learn about the application of Hess' Law in thermodynamic calculations
  • Study the principles of electrolysis and its efficiency in molecular separation
  • Explore the relationship between electromotive force (EMF) and free energy changes in chemical reactions
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Chemistry students, chemical engineers, and researchers interested in electrolysis and thermodynamics, particularly those focusing on molecular separation processes.

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Could some kind chemistry pro here tell me the energy required for molecular separation of water into H and O2?
Thxs. :smile:
 
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Shouldn't it be minus the enthaply of creation in the reaction

2H_{2}_{g}+O_{2}_{g}\rightarrow 2H_{2}O_{vap} ??


Daniel.
 
What do you mean by molecular separation? Some kind of electrolysis-related phenomenon?

H_2O \rightarrow H_2 + O_2

The energy required to undergo redox can be found by the following half reactions:

4H^+ + 4e^- \rightarrow 2H_2
2O^{2-} \rightarrow O_2 + 4e^-

Find the energy amounts required (or given out) for these half reactions, and add them; I love this property of thermodynamics :wink:
 
If you are looking for the bonding energy of water (since your thread is titled so), you must use Hess' Law, with the following reactions :

2H_2 + O_2 \longrightarrow 2H_2O
O_2 \longrightarrow 2O
H_2 \longrightarrow 2H

Dexter's equation tells you the enthalpy of formation, but this does not give you the bond energy. To get the bond energies, you must also consider the dissociation enthalpies of oxygen and hydrogen (and remember that there are 2 bonds per water molecule).
 
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t
chem_tr said:
What do you mean by molecular separation? Some kind of electrolysis-related phenomenon?

H_2O \rightarrow H_2 + O_2

Yes, exactly; I was asked by a friend, and not being a chemist, (my expertise being far greater in physics), I was hoping someone here could save me from appearing too ignorant. :wink:
Electrolysis is what was in question. However, I made a mistake on the 1st post. :blushing: I need the energy required for 'disassociation' of water into H2 and O per molecule; can you give it to me in ev?

The energy required to undergo redox can be found by the following half reactions:

4H^+ + 4e^- \rightarrow 2H_2
2O^{2-} \rightarrow O_2 + 4e^-

Find the energy amounts required (or given out) for these half reactions, and add them; I love this property of thermodynamics :wink:

Thanks again, Chem_tr., that's the chemistry logic I was missing. So (rewritten for one oxygen) this energy would account for the amount of energy necessary for breaking the 2 'hydrogen' bonds, correct?
So my question is still, 1st, what is the total E required in terms of electron volts (per molecule), and secondly, how can this account for the total when there are still 2 covalent bonds energetically unaccounted for in the tetrahedral arrangement in water? :confused:
 
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Gokul43201 said:
If you are looking for the bonding energy of water (since your thread is titled so), you must use Hess' Law, with the following reactions :

2H_2 + O_2 \longrightarrow 2H_2O
O_2 \longrightarrow 2O
H_2 \longrightarrow 2H

Dexter's equation tells you the enthalpy of formation, but this does not give you the bond energy. To get the bond energies, you must also consider the dissociation enthalpies of oxygen and hydrogen (and remember that there are 2 bonds per water molecule).

Ok, thnks for the reply Gokul; I crossed over you in replying to Chem_tr.

Yes, you are correct in what I was looking for. So the same question I wrote to him apply.
So, again, 1.what are the values of those bonding energies in ev;
and 2). why don't I need to account for the other two (intermolecular) covalent bonds?
 
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Unless you better specify EXACTLY what you are looking for, it would be hard for us to help.

You can not get bond energies from electrolysis. The relevant energy there is the ionization energy, and the products are charged ions rather than uncharged atoms.
 
I'm guessing what she/he wants is the energy (bond energy being partly relevant to this of course) relevant to this process as a whole, in this case it would probably be better to solve it in the realm of EMF and relate this value to the free energy if required (there should be simple equations your text showing you how to get from Voltage to free energy).
 
In fact, in relevance to the answer your friend is searching for, I would state the free energy value, you don't need to think about any complications, just solve for this value and it will be a complete answer to the question.
 
  • #10
We don't even know what the question really is, do we ? GeneralChem, what is your understanding of the question ?

Also, from the EMF, you can get to the enthalpy change, only the free energy change. But the energy required to perform any reaction is the enthalpy. And without a knowledge of the entropy change, you can not determine the enthalpy from the EMF.

But if it's the free energy change that is required, then I agree that the best way to find that would be from

\Delta G^o = -nF\Delta E^o

\Delta E^o = -1.23 V

for the reaction (I think...)

H_2O \longrightarrow H_2 + \frac{1}{2} O_2
 
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  • #11
Well technically, if this was in reference to a chemistry class, perhaps this is a specific reference to enthalpy. However, enthalpy questions are quite specific and will frequently mention a specific situation;when such questions are worded broadly as "molecular" separation I am assuming that if it came out of a text for instance, that it is referring to free energy...if it was a general question from a layman then I would suggest it in terms of free energy also. This is just from my small experience with these classes.

If you wish to find the enthalpy of the process, it is very simple. From what I remember, there are tables in the text which lists the enthalpy of formation values and I'm quite positive that diatomic hydrogen and oxygen are in there as well as water, in fact the enthalpy of formation for the two might be zero.
 
  • #12
all of this referring to standard conditions
 

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