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Answer :
To solve for the gauge pressure inside the container, we need to understand the difference between absolute pressure and gauge pressure.
1. Understand the Terms:
- Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure. In this problem, it's given as 125.4 kilopascals (kPa).
- Atmospheric Pressure: This is the pressure of the air outside the container, provided as 99.8 kPa.
- Gauge Pressure: This is the pressure of the gas inside the container relative to the atmospheric pressure. It is the pressure reading typically shown on a pressure gauge.
2. Calculate Gauge Pressure:
- The formula to calculate gauge pressure is:
[tex]\[
\text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure}
\][/tex]
- Plug in the provided values:
[tex]\[
\text{Gauge Pressure} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa} = 25.6 \, \text{kPa}
\][/tex]
3. Conclusion:
The gauge pressure inside the container is 25.6 kPa.
Therefore, the correct answer is:
C. [tex]\(25.6 \, \text{kPa}\)[/tex]
1. Understand the Terms:
- Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure. In this problem, it's given as 125.4 kilopascals (kPa).
- Atmospheric Pressure: This is the pressure of the air outside the container, provided as 99.8 kPa.
- Gauge Pressure: This is the pressure of the gas inside the container relative to the atmospheric pressure. It is the pressure reading typically shown on a pressure gauge.
2. Calculate Gauge Pressure:
- The formula to calculate gauge pressure is:
[tex]\[
\text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure}
\][/tex]
- Plug in the provided values:
[tex]\[
\text{Gauge Pressure} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa} = 25.6 \, \text{kPa}
\][/tex]
3. Conclusion:
The gauge pressure inside the container is 25.6 kPa.
Therefore, the correct answer is:
C. [tex]\(25.6 \, \text{kPa}\)[/tex]
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