Knowing no more than what you have submitted:
"I am continuously adding CO2 untill the reactor reach the desired pressure of 550 PSI."
And,
"1) There is no reaction happening inside the reactor
2) I assume its liquid CO2 with the CO2 coming from Liquid CO2 tank with siphon tube
3) It form inert blanket inside the reactor
4) The MAP for reactor is 2,000 psi"
I am led to believe that you are doing nothing more than pressurizing the small (2 liter) “reactor” vessel. If that is, in effect, the totality of your scope of work then I strongly urge you to cease trying to meter in liquid CO2 into the vessel.
The simplest, safest, and most accurate way to pressurize any vessel with CO2 gas is to use a conventional high pressure CO2 cylinder (25 kg capacity) with a 2-stage regulator installed and regulate the gas flow into your vessel. You are going to have a Joule-Thomson effect through the regulator which will yield a low temperature gas product – especially at the very outset when the pressure difference across the regulator is the greatest. If it is important to have the regulated CO2 gas at an ambient temperature inside the vessel, then all that is done is that the outlet of the regulator is connected to a submerged copper coil in a bath of warm water, prior to being introduced into the vessel. I have done this operation many times in the past in industrial plants prior to startups and after shutdowns.
If, on the contrary, you want to establish CO2 gas inside the vessel at its saturated pressure of 550 psig (saturated temperature = 39.7 oF), then that is entirely another story. That can be done, but not with a cylinder of hp CO2.
Briefly, I would not try to pressurize by pumping liquid CO2. I would pressurize with regulated gas.