I'm afraid your reporting of events is unclear. List what you did and what the result was each time.
Remember, we don't speak each other's native language, so we need to be careful.
The mass-reading goes down by 0.06g = 60mg during the reaction, but increases by 0.04g=40mg after freezing? If you heat the bottle after that, the mass goes down again. But you only see this up-and-down shift for some of your tests not all of them?
How accurate are your scales? What is the smallest unit of mass it can measure?
Have you tried weighing a lump of metal and seeing if the reading is consistent over time, and with subsequent measurements?
Wiping the bottle after freezing is good - but the quantities we are talking about are very small ... how much condensation would 40mg be and how long would it take to form?
Water expands when it freezes - which, in your case, would increase the pressure on the gas at the top. Soe would re-dissolve. There would certainly be less activity so you may have a case for considering it.
The gas bubble in the liquid accelerates, as you have observed, because it is acted on by an unbalanced force. An equal volume of water, then, goes downwards with the same acceleration as the bubble. This water has a greater mass, so it's momentum will be higher. So more momentum gets transferred down than gets transferred up - so how is it that this gives rise to a decrease in force to the scales?
Newtons law for force is F=Δp/Δt which simplifies to F=ma.
"Specific Impulse" is Δp and Δp=2mv in the kind of collision where the object rebounds with the same momentum as it struck. You have to understand the equation before you apply it.
ok, but the measure is done in 2 minutes. And the glue ? and the upside down ? and the same lost with different containers ? and proportionnal to the number of tablets ? and with different volumes for gas ? And with glass containers and steel covers ?
In order:
. You are losing a lot less mass over 2mins than the coke does over 3months - and your bottles have already been used more than once - probably worn, certainly not factory-new.
. Glue, upside down... makes no difference to the diffusion through the walls of the container.
. Diffusion is proportional to the pressure - which is proportional to the number of tablets, so this supports the proposition.
. Pressure also depends on the volume of gas... but you have provided no data on this part.
. The type of cover does not matter - the diffusion is through the walls. Gasses can diffuse through steel too (did you not read the reference I gave you?) That you get the same reading for different materials is problematic but you also have no controls so I cannot tell if the readings are significant: maybe the variation with materials is too small for your scales to measure?
Keep investigating - what is the pressure inside the bottle after the tablet has dissolved?
You'll need to measure it.
Inflate an empty bottle with compressed gas to about that pressure and see if you get significant weight loss afterwards. That'll removing outgassing from the list at least.