Atomic Conservation in Ionized Hydrogen Gas

AI Thread Summary
The discussion centers on the application of atomic conservation principles in an ionized hydrogen gas system, particularly when transitioning from molecular hydrogen (H2) to a state with various species such as electrons (e-), hydrogen atoms (H), protons (H+), molecular hydrogen (H2), hydride ions (H-), and molecular ions (H2+). The key challenge is to properly minimize Gibbs free energy while ensuring atomic conservation is maintained, especially for ionized species. The conservation equation, which relates the number of atoms of each component to the moles of different species, becomes complex due to the presence of ions and electrons. The suggestion is to focus on protons and electrons as the primary chemical species for formulating the conservation equations, ensuring that the treatment of these charged particles aligns with the overall conservation principles in the system.
Mr. Cosmos
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Dear all,
So I have a question concerning atomic conservation in an ionized hydrogen gas. So imagine we have ## H_2 ## initially. Later the gas is taken to an appreciable temperature such that at equilibrium the following species are present, ## e^-, \ H, \ H^+, \ H_2, \ H^-, \ \text{and} \ H_2^+##. In order to properly minimize the Gibbs free energy for such a system I need to appropriately apply atomic conservation in the form,
##b_k = \sum_{i = 1}^n a_{i,k} \ y_i ##
where ## a_{i,k} ## is the number of atoms of component ## k ## in species ## i ##, ## b_k ## is the number moles of component ## k ## per mass of mixture, ## n ## is the total number of species, and ## y_i ## is the number of moles of species ## i ## per mass of the mixture. This is fairly simple when dealing with chemical systems that are not ionizing. However, I am confused about how to treat the atomic conservation in the case of ionized hydrogen. I am not entirely sure how to treat the electron and other ions, so that the conservation is consistent. Any help would be greatly appreciated.
Thanks.
 
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In this case, I would take the "chemical species" to be protons and electrons, and write the conservation equations for p and e.
 
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