Answer :
To find the absolute pressure when the gauge pressure is given, you can follow these steps:
1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas above atmospheric pressure. It doesn't include the atmospheric pressure.
- Absolute Pressure: This is the total pressure, which includes both the gauge pressure and atmospheric pressure.
2. Given Values:
- Gauge Pressure = 114 kPa.
- Atmospheric Pressure is generally taken as 101.325 kPa under standard conditions.
3. Calculate Absolute Pressure:
- Absolute Pressure = Gauge Pressure + Atmospheric Pressure.
- Substitute the values: Absolute Pressure = 114 kPa + 101.325 kPa.
4. Compute the Result:
- Absolute Pressure = 215.325 kPa.
Now compare this value with the options given:
- A. 220 kPa
- B. 214 kPa
- C. 14 kPa
- D. 50 kPa
The closest and most accurate answer among the options is approximately 214 kPa, which is option B.
1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas above atmospheric pressure. It doesn't include the atmospheric pressure.
- Absolute Pressure: This is the total pressure, which includes both the gauge pressure and atmospheric pressure.
2. Given Values:
- Gauge Pressure = 114 kPa.
- Atmospheric Pressure is generally taken as 101.325 kPa under standard conditions.
3. Calculate Absolute Pressure:
- Absolute Pressure = Gauge Pressure + Atmospheric Pressure.
- Substitute the values: Absolute Pressure = 114 kPa + 101.325 kPa.
4. Compute the Result:
- Absolute Pressure = 215.325 kPa.
Now compare this value with the options given:
- A. 220 kPa
- B. 214 kPa
- C. 14 kPa
- D. 50 kPa
The closest and most accurate answer among the options is approximately 214 kPa, which is option B.
