Answer :
To determine the absolute pressure when given a gauge pressure, we need to understand the relationship between these two pressures. Gauge pressure is the pressure relative to the atmospheric pressure. Absolute pressure, on the other hand, is the total pressure, which includes the atmospheric pressure.
Here’s a step-by-step explanation to find the absolute pressure:
1. Understand the Definitions:
- Gauge Pressure: This is the pressure relative to the atmospheric pressure. It does not include atmospheric pressure in its measurement.
- Absolute Pressure: This is the total pressure, which includes atmospheric pressure.
2. Identify Given Values:
- The gauge pressure is given as 156 kPa.
3. Assume Standard Atmospheric Pressure:
- Standard atmospheric pressure is already typically accepted as 100 kPa for basic calculations unless otherwise specified.
4. Calculate Absolute Pressure:
- To find the absolute pressure, you add the atmospheric pressure to the gauge pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Plug in the values:
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa} = 256 \, \text{kPa}
\][/tex]
5. Conclusion:
- Therefore, the absolute pressure is approximately 256 kPa.
The correct answer is D) 256 kPa.
Here’s a step-by-step explanation to find the absolute pressure:
1. Understand the Definitions:
- Gauge Pressure: This is the pressure relative to the atmospheric pressure. It does not include atmospheric pressure in its measurement.
- Absolute Pressure: This is the total pressure, which includes atmospheric pressure.
2. Identify Given Values:
- The gauge pressure is given as 156 kPa.
3. Assume Standard Atmospheric Pressure:
- Standard atmospheric pressure is already typically accepted as 100 kPa for basic calculations unless otherwise specified.
4. Calculate Absolute Pressure:
- To find the absolute pressure, you add the atmospheric pressure to the gauge pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Plug in the values:
[tex]\[
\text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa} = 256 \, \text{kPa}
\][/tex]
5. Conclusion:
- Therefore, the absolute pressure is approximately 256 kPa.
The correct answer is D) 256 kPa.
