Final answer:
The duration of a 310 Litre oxygen bottle depends on the usage rate, which involves calculations using the ideal gas law and the specific conditions under which the oxygen is consumed, such as the climber's rate of use and the percent of oxygen utilized.
Step-by-step explanation:
The duration of a 310 Litre oxygen bottle depends on the rate at which the oxygen is used. This requires an understanding of gas laws and principles from chemistry to determine how long the bottle will last under specific conditions. For example, a cylinder of medical oxygen with a volume of 35.4 L, containing O₂ at a pressure of 151 atm and at 25 °C, would have a different volume at normal body conditions (1 atm and 37 °C). The calculation would involve using the ideal gas law to relate volume, pressure, and temperature changes.Similarly, to determine how many minutes a 310 Litre oxygen bottle would last for a climber, we would need to know the climber's oxygen consumption rate. If the climber uses oxygen at twice the rate for climbing 116 stairs per minute, we would use the consumption rate along with the fact that only 40% of the oxygen is utilized (the rest is exhaled), to calculate the total liters of oxygen needed for the duration of the climb.