You have the general idea of it, but the steps are actually ideally:
Recover refrigerant
Break slight vacuum with dry inert gas (Nitrogen)
Remove old parts
Plug lines
See if any oil is in the old condenser and receiver drier
Install new parts, adding oil as necessary when connecting them
Pressurize with dry inert gas to check for leaks
If no leaks under pressure then release pressure and connect vacuum pump and micron gauge
Vacuum to <500 microns then isolate system and make sure vacuum doesn't rise above 1000 microns. If the vacuum steadily rises you have a leak under vacuum, if it rises in jumps and then stabilizes you have moisture in the system. This will require a good 2 stage pump with fresh oil, a single stage probably won't work and an air operated venturi vacuum pump won't even make the micron gauge give a reading
If all OK then disconnect vacuum pump and connect refrigerant source on charging scale, but beware if using a standard 2 valve manifold with a single center port that you will have trapped air in the center, so preferably use a 4 valve manifold or a 2 valve with a tee center port and pull a vacuum on the hose to the refrigerant cylinder as well, using a valve in the hose to the vacuum pump or if it has one the valve in the pump itself. Make sure the manifold you use has the thumb screw core depressors on the quick connect fittings
Zero charging scale
Crack open cylinder valve long enough to break vacuum to just above atmospheric with refrigerant then disconnect vacuum pump
Note reading on scale, invert refrigerant cylinder to draw liquid and fully open cylinder valve
Zero scale again
Charge liquid only into the high side of the system stopping if the required system weight is reached, if not and the pressure equalizes first close the high side valve
Note reading on scale again and add to first reading, flip cylinder back upright for vapor, then zero scale again
Start engine, set controls for blower on highest speed and coldest temp
Slowly charge vapor into suction/low side to add remaining required amount of refrigerant
Monitor system for proper operation
Close refrigerant cylinder valve and high side thumb screw, but leave hoses connected
Slowly open both valves on manifold and let system operate for a few minutes to purge liquid trapped in high side hose back into the system
Set blower to low speed
When low side pressure is as low as possible close low side thumb screw then manifold valves then disconnect all hoses, at this point you should have A/C that works better than it has in quite some time.
Some notes:
134a refrigerant is not a Freon, DuPont calls it Suva.
Definitions, recover is to remove the refrigerant from the system and put it in a cylinder. Recycle is to use a self contained machine to purify the refrigerant as much as possible, IE remove any oil, moisture, acids, air, Etc. Reclaim is when a certified lab does the recycling but has the test gear to certify that the refrigerant is as pure as it was when it was new/virgin.
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