For a 1.5L bottle you can use any where between 1 - 2 cup of sugar is fine.
Basically the more sugar it last longer until a maximum point (because too much ethanol built-up will stop the fermentation anyway) so any excess sugar won't buy you more duration.
On the other hand the more yeast the more CO2 produce (faster startup, a lot of bubble in the begining) but shorter duration (running out of steam sooner). I found a good balance point is 1/2 tea spoon (2.5ml) yeast to 2 cups of sugar.
And one more important item : Baking Soda (Sodium Bicarbaonate) the usual plain one sold at NTUC (look for baking ingredient) will do. Use 1/2 teaspoon for a 1.5L bottle.
Baking soda stabilize the water in the bottle when CO2 produces (CO2 make the water acidic, with Baking Soda it neutralize the PH) Also some says that the sodium in baking soda is toxic to the yeast so it control the yeast growth rate to be more constant.
This recipe normally last 2 weeks for my case, producing 1 bps feeding to a reactor.
Air-stone will work well too. My favorite setup is to use the DIY Venturi Reactor with a powerhead (Tom Barr's invention). Which allow the use of timer to control it to syn with the lighting period (with lots of fine CO2 mist) while venting away the CO2 at night.
btw one thing I learnt is that if scale this recipe to a larger bottle, you scale the sugar and baking soda amount but the yeast should keep the same (i.e. 1/2 tsp yeast produce 1 bps).
I am running a 2.5 L soda bottle now which last 3~4 weeks
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