How much PSI does one pump from a bicycle pump output into a 2 liter bottle of soda.

Question

I would like it to be as close to exact as possible, and no estimates from people who are clueless about this stuff please! (No offense because that's mostly everyone!)

1 hour ago - 3 days left to answer.

Let me rephrase (How much will the PSI in a 2 liter bottle of soda increase with one pump?) And how much is in there to start without anything added.

Answer 1

It depends on the volume of the pump's piston. For example, if the piston's cross section is .001 m^2, and the stroke is .5 m long, you add about .5 liter of air to the bottle with each stroke. So one stroke would increase the pressure from one atmosphere to 1.25 atmosphere. An atmosphere is 101.325 kPa or 14.696 PSI.

In real life, it's not quite that simple because you have to consider the volume of air in the hose, there's always some leakage, a 2-liter bottle holds more than 2 liters, and the bottle expands with increasing pressure.  

Answer 2

it will not be a linear answer. the only way to tell is to measure it using a gauge. the first 10 pumps will probably put in something like 3psi the next 5 pumps will probably put in 10 more psi. as the bottle fills with air, there is less space for the new air to go. so, the pressure will begin to increase rapidly with each consecutive pump.

when the bottle is a rest, you can say that there is no pressure  (with reference to the atmospheric pressure) or 14.4psi absolute (with reference to a pure vacuum). give or take it depends on your altitude.