Yes and no. But if I wanted to be pedantic about it, mostly no
The milliamp-hour rating of the battery doesn't change. If you have two batteries rated for 2 amp-hours (2000mAh) wired in series, the circuit has a total capacity of 2 amp-hours. Changing the load or the efficiency of the regulation doesn't change the capacity. Just like if you have a car with a 15 gallon fuel tank that gets 20 miles to the gallon, and you stick a more efficient engine that gets 30 miles to the gallon in it, the fuel tank still holds 15 gallons. You just get more miles out of a full tank.
So how many
miles hours will you get out of a full
tank battery with this
car mod?
It depends on how it's regulated. Since it's using the original factory-built regulation circuitry, and only a totally clueless factory
wouldn't use a switching regulation circuit, we'll assume that it does. Most 5V mods currently available use linear regulators, which are nice and simple but woefully inefficient. They waste any excess voltage as heat. The tekkeon uses a switching (PWM) regulator (probably), so it's likely getting 90% efficiency or more. Lets assume 90% to be safe.
Stand back, I'm about to do math.
5V / 2.3ohms = 2.17A current draw
2Ah capacity / 2.17A * .9 (efficiency) = .83 hours of vape time.
Now, that's .83 hours (~50 minutes) of actually holding the button down. Even the most hardcore vapers have to pause for breath every once in a while, so the MTBR (mean time between recharges) will be
much higher.
For comparison, a regular 3.7V mod using a single 2400mAh 18650 will net you 1.5 hours of constant vape time:
2.4Ah / (3.7V / 2.3ohms) = 1.5 hours
So if we assume a chain-vaper gets 48 hours MTBR with a 3.7V 18650 mod, you can assume the same vaper will get about 27.84 hours MTBR with the tekkeon:
.83 / 1.5 = .58 (ratio of on-time for tekkeon to on-time for regular 18650)
48 hours * .58 = 27.84 hours MTBR
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TL;DR - If you get at least two days on a 3.7V 18650 mod you'll get over one full day with the tekkeon.