If I used chloralkali electrolysis of brine to produce hydrogen, and can't use the other products (or not all of them), what route(s) can I take to revert them back to brine? I figured, since I have to put in energy to take the brine apart, it should have some desire to reform.
With the $\ce{H2}$ taken away, the remaining products are:
$$\ce{2 NaOH (aq) + Cl2}$$
If I just mix them, I get sodium chlorate or hypochlorite. Can I process those further?
Both $\ce{H2O}$ and $\ce{NaCl}$ have a negative $\Delta H_\mathrm{f}^\circ$ ($\pu{-285.8 kJ/mol}$ and $\pu{-407.0 kJ/mol}$ respectively), and $\ce{Cl2}$ is already in its standard state, so we would need to overcome the $\Delta H_\mathrm{f}^\circ$ of the $\ce{NaOH}$, which is negative as well ($\pu{-470.1 kJ/mol}$). Can I use ion filters to some benefit?
Routes that allow retrieval of some of the energy spent for the electrolysis are favored (i.e. the more exothermic, the better).