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Answer :
To determine the gauge pressure inside the container, we use the definition of gauge pressure, which is the difference between the absolute pressure inside the container and the atmospheric pressure outside. Mathematically, this is given by:
[tex]$$
P_{\text{gauge}} = P_{\text{absolute}} - P_{\text{atmospheric}}
$$[/tex]
Given the values:
- Absolute pressure: [tex]$$P_{\text{absolute}} = 125.4 \, \text{kPa}$$[/tex]
- Atmospheric pressure: [tex]$$P_{\text{atmospheric}} = 99.8 \, \text{kPa}$$[/tex]
Substitute these values into the equation:
[tex]$$
P_{\text{gauge}} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa}
$$[/tex]
Performing the subtraction:
[tex]$$
P_{\text{gauge}} = 25.6 \, \text{kPa}
$$[/tex]
Thus, the gauge pressure inside the container is [tex]$$25.6 \, \text{kPa}$$[/tex], which corresponds to option C.
[tex]$$
P_{\text{gauge}} = P_{\text{absolute}} - P_{\text{atmospheric}}
$$[/tex]
Given the values:
- Absolute pressure: [tex]$$P_{\text{absolute}} = 125.4 \, \text{kPa}$$[/tex]
- Atmospheric pressure: [tex]$$P_{\text{atmospheric}} = 99.8 \, \text{kPa}$$[/tex]
Substitute these values into the equation:
[tex]$$
P_{\text{gauge}} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa}
$$[/tex]
Performing the subtraction:
[tex]$$
P_{\text{gauge}} = 25.6 \, \text{kPa}
$$[/tex]
Thus, the gauge pressure inside the container is [tex]$$25.6 \, \text{kPa}$$[/tex], which corresponds to option C.
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