To determine the gauge pressure inside the container, we first need to understand the difference between absolute pressure and gauge pressure.
1. Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure.
2. Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It is essentially the additional pressure exerted by the gas over and above the atmospheric pressure.
Given:
- Absolute pressure inside the container: [tex]\(9.25\)[/tex] atmospheres
- Standard atmospheric pressure: [tex]\(1\)[/tex] atmosphere
To find the gauge pressure, we use the formula:
[tex]\[ \text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure} \][/tex]
Substituting the given values:
[tex]\[ \text{Gauge Pressure} = 9.25 \, \text{atm} - 1 \, \text{atm} \][/tex]
[tex]\[ \text{Gauge Pressure} = 8.25 \, \text{atm} \][/tex]
Thus, the gauge pressure inside the container is [tex]\(8.25\)[/tex] atmospheres.
The correct answer is:
[tex]\[ \boxed{B. \, 8.25 \, \text{atm}} \][/tex]
