Both are correct. The 3-phase breaker is just 3 separate 1-phase breakers with a handle physically connected so shutting off one shuts off all.
Code correctness depends on your local jurisdiction. In virtually all USA locations, separate uses of each phase allows either breaker setup, while use of all 3 phases on the same device requires the 3-phase common handle breaker.
The 3 separate breakers would be more convenient with 3 separate circuits since you won't turn so much off if one of them goes off. But there may be a rule that requires this in some location.
Think I'll chime in here and add my two cents to these other good answers. There are two components to the original question:
- How much less power does will the 3 phase A/C compressor unit use?
- Longevity of three-phase motor versus single phase
Power
Motor Efficiency = Power Output / Power Input
It takes a certain amount of power to run the compressor regardless of single or three phase power... this is the power output. The power input is what you are trying to minimize, thus you want to increase efficiency as much as possible. The trouble is this metric (efficiency) is a hidden combination the components inside the compressor unit (compressor, fans). It is not necessarily true (but it usually is true) that three phase is more efficient than single phase.
I would look at the SEER rating which 'automatically' includes the motor efficiency for a better indicator of "cost to cool".
Longevity and Reliability
Three-phase motors and compressors are generally more reliable than their single-phase couterparts. But like anything else, there is more to it than that one attribute. Using Philps' automotive engine example, a 4 cylinder Honda might be more reliable that that old smallblock V8.
Vibration
Certainly less in the three-phase motor. And generally less vibration equals greater reliability.
Motor Starting
Three-phase motors have lots of starting torque and don't (typically) require any special circuitry to start (capacitors, centrifugal switches). And of course fewer components means fewer things to go wrong.
Cost
Is disappointing that the three-phase equipment is more expensive. Almost always, three-phase motors are actually cheaper than an equivalent single-phase motor.
Best Answer
Assuming you mean receptacle, yes you can split a split a three phase branch circuit into multiple receptacles the same way it is done for regular 120V circuits. It's rare though as most three phase machinery draws a lot of power which warrants dedicated circuits. But, if you have a small shop and you only use one machine at a time, then it's fine.
My grandfather had a mini shop inside my fathers shop and he had a single 20A 208V circuit that ran to three twist lock outlets. He had a mill, lathe and surface grinder. All of which could easily share a single circuit because he never ran more than one at a time.