When a person breathes the lungs take in oxygen and release carbon dioxide. what system is this?

It's called a respiratory system. :)

The Respiratory System

the air we breathe is made up of several gases. Oxygen is the most important for keeping us alive because body cells need it for energy and growth. Without oxygen, the body's cells would die.

Carbon dioxide is the waste gas that is produced when carbon is combined with oxygen as part of the body's energy-making processes. The lungs and respiratory system allow oxygen in the air to be taken into the body, while also enabling the body to get rid of carbon dioxide in the air breathed out.

the product of the pressure and volume is also constant

your answer would be “dry”