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Answer :
To solve the problem of finding the gauge pressure inside the container, follow these steps:
1. Understand the Definitions:
- Absolute Pressure: This is the total pressure inside the container, including atmospheric pressure.
- Atmospheric Pressure: This is the pressure exerted by the surrounding air on the outside of the container.
- Gauge Pressure: This is the pressure inside the container relative to the atmospheric pressure. It measures the difference between absolute pressure and atmospheric pressure.
2. Given Values:
- The absolute pressure inside the container is 125.4 kilopascals (kPa).
- The atmospheric pressure around the container is 99.8 kilopascals (kPa).
3. Calculate the Gauge Pressure:
- Use the formula for gauge pressure:
[tex]\[
\text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure}
\][/tex]
- Substitute the given values:
[tex]\[
\text{Gauge Pressure} = 125.4\, \text{kPa} - 99.8\, \text{kPa}
\][/tex]
- Calculate the result:
[tex]\[
\text{Gauge Pressure} = 25.6\, \text{kPa}
\][/tex]
4. Conclusion:
- The gauge pressure inside the container is 25.6 kPa.
Therefore, the correct answer is C. 25.6 kPa.
1. Understand the Definitions:
- Absolute Pressure: This is the total pressure inside the container, including atmospheric pressure.
- Atmospheric Pressure: This is the pressure exerted by the surrounding air on the outside of the container.
- Gauge Pressure: This is the pressure inside the container relative to the atmospheric pressure. It measures the difference between absolute pressure and atmospheric pressure.
2. Given Values:
- The absolute pressure inside the container is 125.4 kilopascals (kPa).
- The atmospheric pressure around the container is 99.8 kilopascals (kPa).
3. Calculate the Gauge Pressure:
- Use the formula for gauge pressure:
[tex]\[
\text{Gauge Pressure} = \text{Absolute Pressure} - \text{Atmospheric Pressure}
\][/tex]
- Substitute the given values:
[tex]\[
\text{Gauge Pressure} = 125.4\, \text{kPa} - 99.8\, \text{kPa}
\][/tex]
- Calculate the result:
[tex]\[
\text{Gauge Pressure} = 25.6\, \text{kPa}
\][/tex]
4. Conclusion:
- The gauge pressure inside the container is 25.6 kPa.
Therefore, the correct answer is C. 25.6 kPa.
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