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Answer :
To find the gauge pressure, we use the definition that gauge pressure is the difference between the absolute pressure inside the container and the ambient (atmospheric) pressure outside. This can be expressed as:
[tex]$$
P_{\text{gauge}} = P_{\text{absolute}} - P_{\text{ambient}}
$$[/tex]
Given:
- Absolute pressure in the container: [tex]$P_{\text{absolute}} = 125.4\, \text{kPa}$[/tex]
- Ambient pressure around the container: [tex]$P_{\text{ambient}} = 99.8\, \text{kPa}$[/tex]
Substitute these values into the formula:
[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]$\boxed{25.6\, \text{kPa}}$[/tex], which corresponds to option C.
[tex]$$
P_{\text{gauge}} = P_{\text{absolute}} - P_{\text{ambient}}
$$[/tex]
Given:
- Absolute pressure in the container: [tex]$P_{\text{absolute}} = 125.4\, \text{kPa}$[/tex]
- Ambient pressure around the container: [tex]$P_{\text{ambient}} = 99.8\, \text{kPa}$[/tex]
Substitute these values into the formula:
[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]$\boxed{25.6\, \text{kPa}}$[/tex], which corresponds to option C.
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