If you made the anode and cathode both out of a single piece of zeolite that has been coated inside with graphite (or graphene) wouldn’t that provide a conductive path and greater surface area thus making electrolysis of water more efficient?
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$\begingroup$ You don't really need greater surface. $\endgroup$ – Ivan Neretin Aug 2 '19 at 4:49
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$\begingroup$ That's a good question, but keep in mind there is still a diffusion barrier. Zeolites use to trap stuff, and for an effective electrolysis you need the products to be exchanged rapidly. $\endgroup$ – andselisk♦ Aug 2 '19 at 4:52
