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Answer :
To find the gauge pressure inside the container, we use the fact that the gauge pressure is the difference between the absolute pressure inside the container and the atmospheric pressure outside. That is, the formula is:
[tex]$$
P_{\text{gauge}} = P_{\text{absolute}} - P_{\text{atmospheric}}
$$[/tex]
Given that the absolute pressure is [tex]$125.4\ \text{kPa}$[/tex] and the atmospheric pressure is [tex]$99.8\ \text{kPa}$[/tex], we 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]. The correct answer is Option C.
[tex]$$
P_{\text{gauge}} = P_{\text{absolute}} - P_{\text{atmospheric}}
$$[/tex]
Given that the absolute pressure is [tex]$125.4\ \text{kPa}$[/tex] and the atmospheric pressure is [tex]$99.8\ \text{kPa}$[/tex], we 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]. The correct answer is Option C.
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