The combustion chamber is put under immense heat and pressure.
It has not even been shown that combustion is possible in a vacuum for a start.
Well, when you're on the ropes, swinging wildly is an option of last resort.
And pressure is a scalar quantity, so there will be no unbalanced force within the chamber anyway
This is already already answered (see below), but there is a better answer, just for you. If you're right (clue: you're not), then that would also apply for a rocket engine in an atmosphere. Congratulations Einstein, you just proved rockets don't work in an atmosphere! (Just in case you're confused, you didn't prove that. I was employing sarcasm: it makes the Schadenfreude even more palatable).
Velocity is a vector quantity. Rocket thrust in a vacuum is given by:-
F = mV
e + p
eA
eHence, the thrust produced is also a vector. But you have proven something! Despite your inability to comprehend how vector and scalar quantities combine, you claim to be the only person on the planet capable of interpreting the Joule experiment to mean that all of rocket science is wrong! Good job, you! Well done sir!
(This roast is getting a little dry as it's going on too long - will need gravy shortly).
An unbalanced force can only be created when the internal pressure created by the rocket engine meets an external pressure.
In a vacuum there is no external pressure so no unbalanced force is created.
I'll re-plate your dinner and send it out again.
The pressure is created in the combustion chamber, which has a narrow opening (called the throat) at one end. That creates an imbalance of forces.
The gas molecules will simply leave the rocket, with both energy & momentum conserved, & whiz off into the vast nothingness of space.
This is all perfectly understandable if you simply get your head round free expansion btw.
Wrongety wrong. The gas isn't freely expanding, as it is being constantly created in the combustion chamber. Pressure, ooh, several hundred Pa for the duration of the burn.
Or understand that you cannot push on nothing.
Kerrect! You can, of course, push on a rocket.