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Knowing the pressure, $P_g$, how can I calculate $\frac{N_{I+1}}{N_I}$ using Saha's equation?

If I assume that $P_g=(n_e+n_{H^+}+n_H)K_B T$ and that $n_e=n_{H^+}$, I can find the electronic pressure, $P_e$, and plug it in Saha's equation, but then I'm left with $n_H K_B T$, which is gonna screw my calculations.

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The pressure of a gas depends on the number density of particles and the temperature. There is therefore no unique relationship between $P_g$ and $N_{I+1}/N_I$.

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  • $\begingroup$ Let's assume I also know the temperature. Is it possible then? $\endgroup$ Commented Mar 25, 2022 at 19:13

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