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CH3MTR4IL5 said..
I guess I am not understanding your basic supposition.
Internal resistance increases as a battery discharges, and the battery voltage drops. Not proportionally like a capacitor, but in a non-linear fashion. You want to calculate this reduced voltage level? Why?
(genuinely interested, not being argumentative!)
Sure, internal resistance increases as the battery discharges, which impacts battery terminal volts under load, but I'm talking about no-load conditions.
My question is, therefore, what is the exact precise reason that the no-load battery terminal voltage is reduced for a partially discharged battery? The battery materials have the same electronegativity, so until they are fully consumed, why don't they produce the same battery terminal voltage under no-load conditions? (Even though they won't deliver the same 'under-load' performance due to increased internal resistance.)
Why do I want to know this..... because.

(I have an idea what the answer might be, which I'll post later, but I can't find confirmation of it anywhere.)
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Ian K said..
No he doesn't need to calculate it. Just wants to know why the equilibrium no current voltage is lower. So do I. If you have a tank of water with a huge low resistance hole it will empty quicker than one with a small half clogged hole. But the equilibrium for both is empty.
I've been waiting for you to chime in on this one....preferably with the answer!