To find the gauge pressure inside the container, we need to understand the relationship between absolute pressure, atmospheric pressure, and gauge pressure.
Absolute Pressure: This is the total pressure exerted by the gas, including the atmospheric pressure.
Atmospheric Pressure: This is the pressure exerted by the air around the container, which is the pressure of the surrounding atmosphere.
Gauge Pressure: This is the pressure of the gas inside the container relative to the atmospheric pressure. It can be found using the formula:
[tex]\[ \text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure} \][/tex]
Given:
- Absolute pressure inside the container, [tex]\( P_{\text{absolute}} = 125.4 \)[/tex] kPa
- Atmospheric pressure, [tex]\( P_{\text{atmospheric}} = 99.8 \)[/tex] kPa
Now, substitute these values into the gauge pressure formula:
[tex]\[ \text{Gauge Pressure} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa} = 25.6 \, \text{kPa} \][/tex]
Therefore, the gauge pressure inside the container is [tex]\( 25.6 \)[/tex] kPa.
The correct answer is:
C. [tex]\( 25.6 \)[/tex] kPa
