How much volume of breathing gas does a 80 cubic foot cylinder contain at a fill pressure of 2200 psi?

To determine the volume of breathing gas contained in an 80 cubic foot cylinder at a fill pressure of 2200 psi, we can use the concept of pressure and volume relationship in gas laws. Specifically, we can apply the ideal gas law principles, which state that the amount of gas in a cylinder is directly proportional to the pressure of the gas, as long as temperature and type of gas remain consistent.

In practical applications, you can use the following formula to calculate the effective volume of gas present in a compressed gas cylinder:

[

\text{Volume of gas} = \text{Cylinder Volume} \times \left( \frac{\text{Pressure}}{\text{Standard Pressure}} \right)

]

Assuming standard pressure is 2000 psi (a common baseline for calculations), we plug in the values:

1. The cylinder volume is 80 cubic feet.

2. The fill pressure is 2200 psi.

Using the formula:

[

\text{Volume of gas} = 80 , \text{cubic feet} \times \left( \frac{2200 , \text{psi}}{2000 , \text{psi}} \right)

]

Calculating this gives