Rep Power: 0

For the air conditioning stops working on a hot day, turning on the car and turn the A / C that works well for a while but then stops cooling while running, no leakage has already reviewed it, to be should? the compressor stops working alone

 
Rep Power: 519

First you need to evaluate what is and isn't working at the time the AC quits cooling.
(I didn't understand clearly all of the wording in your post above.)

When it stops cooling:
Is the compressor still running? (Clutch engaged, hub spinning) or not?
Are the radiator fans still running? Or not?






Is the radiator full of antifreeze?
If the engine is running too hot, the computer will shut off the AC.
I have seen this be a main complaint (poor AC cooling) when the cause is low antifreeze level in the radiator, due to a cracked block.
Even had a guy recharge his own freon because the engine was overheating and shutting the AC down. He seriously overcharged it too, so it couldn't cool worth a crap when it DID work.
If the block is cracked, see your dealer. Warranty was extended on that problem.




IF the compressor clutch in not engaged when the system quits.... A trick is to tap on the relay for the compressor clutch, see if the compressor starts working again. That would mean the relay is probably bad.
There is more, but I need to hear the answers to the first few questions first.