Final answer:
The system that allows emergency replenishment of breathing air to disabled or entrapped firefighters is called the Rapid air refill system.
Step-by-step explanation:
The system that allows emergency replenishment of breathing air to the SCBA of disabled or entrapped fire or emergency services personnel is called the Rapid air refill system.
This system is specifically designed to quickly provide a fresh supply of breathable air to firefighters or emergency personnel who are in distress or unable to leave a dangerous environment.
An example of a rapid air refill system is the Scott Safety RevolveAir Connect System, which allows firefighters to quickly connect to an external air source for emergency replenishment of breathing air.