Basically, the “breathe in oxygen breath out CO2” line is an over simplification
Your lungs turn Oxygen into CO2. That doesn’t mean they’re 100% efficient at it.
The air you breathe in is 21% oxygen
The air you breathe out is still 16% oxygen
This is why you can hold your breath for a minute or two; you still have oxygen in your lungs, just less than is comfortable.
In the case of CPR life breaths, comfort isn’t really your first perrogative. You possibly even broke some ribs during the chest compressions anyway.
The other answers are correct- there’s still a lot of oxygen left in the air we breathe out. But I’ll add two things:
Tidal volume: a fair amount of the air we breathe never reaches the inside of our lungs (alveoli) at all. When we inhale, the last air we take in only makes it as far as our airway, mouth, or nose. And when we exhale, the air deep in our lungs doesn’t make it all the way out, either. That works to our benefit during CPR.
But the other thing is that, really, it doesn’t “work” anyway. It’s worth trying, but CPR might extend someone’s life by a minute or so if done properly- giving about a 15% chance that medical help arrives in time. In the event of a cardiac problem, there’s often enough oxygen in a person’s lungs to sustain them for a while: but without blood flow it can’t get to cells, which is why they (especially brain cells) die. Many first-aid classes now teach compression-only CPR – compressing someone’s chest to pump their blood also squeezes their lungs, giving some of the benefits of full CPR without the risk of transmitting disease.
An Automated External Defibrillator (AED) is much, much more effective in V-fib cases. If an AED is available for a cardiac patient the survival rate is around 80%.
As others have said, we breathe out about 16% Oxygenated air. Enough to keep someone alive.
On a related note: Many authorities no longer recommend mouth to mouth resuscitation. A lot of people are afraid of performing mouth to mouth because of special boundaries, and it’s not absolutely necessary. Oxygenated blood has enough reserves to keep an (unconscious, calm) person going for a good 5 minutes before any permanent damage begins to set in, provided the blood is still pumped. Hence why many authorities nowadays only recommend doing Chest Compressions to keep the blood pumping
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