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Answer :
The problem asks for the gauge pressure, which is the difference between the absolute pressure inside the container and the atmospheric pressure outside.
Step 1: Identify the pressures given.
- The absolute pressure inside the container is
$$P_{\text{abs}} = 125.4 \text{ kPa}.$$
- The atmospheric pressure is
$$P_{\text{atm}} = 99.8 \text{ kPa}.$$
Step 2: Write down the formula for gauge pressure.
The gauge pressure is calculated by subtracting the atmospheric pressure from the absolute pressure:
$$
P_{\text{gauge}} = P_{\text{abs}} - P_{\text{atm}}.
$$
Step 3: Substitute the given values into the formula:
$$
P_{\text{gauge}} = 125.4 \text{ kPa} - 99.8 \text{ kPa}.
$$
Step 4: Perform the subtraction:
$$
P_{\text{gauge}} = 25.6 \text{ kPa}.
$$
Thus, the gauge pressure inside the container is $$25.6 \text{ kPa}.$$
This corresponds to option C.
Step 1: Identify the pressures given.
- The absolute pressure inside the container is
$$P_{\text{abs}} = 125.4 \text{ kPa}.$$
- The atmospheric pressure is
$$P_{\text{atm}} = 99.8 \text{ kPa}.$$
Step 2: Write down the formula for gauge pressure.
The gauge pressure is calculated by subtracting the atmospheric pressure from the absolute pressure:
$$
P_{\text{gauge}} = P_{\text{abs}} - P_{\text{atm}}.
$$
Step 3: Substitute the given values into the formula:
$$
P_{\text{gauge}} = 125.4 \text{ kPa} - 99.8 \text{ kPa}.
$$
Step 4: Perform the subtraction:
$$
P_{\text{gauge}} = 25.6 \text{ kPa}.
$$
Thus, the gauge pressure inside the container is $$25.6 \text{ kPa}.$$
This corresponds to option C.
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