Sciencemadness Discussion Board

Troubles to calculate activation energy

Bitburger - 30-7-2011 at 01:10

I would like to prepare ammonium carbonate from 12% ammonia and CO2.

CO2 has a better solubility in cold water, so I try to perform this reaction in a cold solution of ammonia.

BUT: is it possible to form ammonium carbonate without heating? How can I calculate this?

[Edited on 30-7-2011 by Bitburger]

redox - 30-7-2011 at 06:24

Well, wouldn't simply bubbling CO2 into the aqueous ammonia give you ammonium carbonate? I don't think any heating is necessary.

CO2 + H2O => H2CO3
NH3 + H2O => NH4OH

H2CO3 + 2NH4OH => NH4CO3 + 2H2O

Bitburger - 30-7-2011 at 07:25

Yes, it will form in a cold solution. Maybe, it's a equilibrium reaction and heating causes the opposite effect, because of an increase in entropy during heating?

But, there MUST be a way to calculate gibbs free energy for this reaction, just to prove that this reaction exists, which is where science is all about!

With lots of coffee I will try this calculation but I don't know how to start!
What values do I need in this case?
Just any help is welcome!


Bitburger - 4-8-2011 at 10:30

I calculate the Gibbs free energy of this reaction in aqueous solution:

H2O + CO2 + 2 NH3------------> 2 NH4+ + CO32-

When CO2 is dissolved, but not dissociated then delta H° = -150.78 kJ/mol
delta S° = -402.51 J/mol.K
delta G° = -30.78 kJ/mol

By lowering the temperature to 5°C, the calculated value of delta G = -38.822 kJ/mol so that it seems right to claim that the lower the temperature is, the more favourable the reaction is.


When the CO2 is in a gas state, it will still react with the ammonia, which is proven by the crystals that where formed on the top of the erlenmeyer flask.
delta H°= -107.53 kJ/mol
delta S°= -496.935 J/mol.K
delta G°= -22.4 kJ/mol

By lowering the temperature to 5°C, the calculated value of delta G = -32.208 kJ/mol, so that the same conclusions can be drawn.


However, if you suppose the formation of HCO3- it might be possible that following reaction take place:

2 H2O + CO2 + 2 NH3----------> 2 NH4+ + HCO3- + OH-

If that is true the calculated value would be:
delta H°= -109.665 kJ/mol
delta S°= - 232.324 J/mol.K
delta G°= 122.659 kJ/mol

Since delta G° is positive this reaction should never take place!

[Edited on 4-8-2011 by Bitburger]

[Edited on 4-8-2011 by Bitburger]

Bitburger - 11-8-2011 at 11:24

Despite all the calculations that I've done and the prediction from another member that this synthesis is favourable, no ammonium carbonate is formed in the solution after a evaporation at room temperature of the water.

I repeat the addition of CO2 bubbeling into the ammonia solution several times, since the solubility of carbon dioxide is low even at the low temperatures that I used.

When the solution was evaporated I observed a rather strong smell of ammonia.

What is the scientific explanation that not even a crystal is formed?

[Edited on 11-8-2011 by Bitburger]