Answer :
To solve the problem of finding the absolute pressure when given the gauge pressure, follow these steps:
1. Understand the Concepts:
- Gauge Pressure: This is the pressure of the gas above atmospheric pressure. It's how much the pressure exceeds atmospheric pressure.
- Atmospheric Pressure: This is the pressure due to the weight of the atmosphere above us. At sea level, it's approximately 101.3 kPa, but it is often simplified as 100 kPa for easier calculations.
- Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure. It's the sum of gauge pressure and atmospheric pressure.
2. Given Data:
- Gauge pressure = 114 kPa
- Atmospheric pressure ≈ 100 kPa (a commonly used value for simplicity)
3. Calculate Absolute Pressure:
To find the absolute pressure, add the gauge pressure to the atmospheric pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
4. Compute the Result:
- Absolute Pressure = 214 kPa
Therefore, the absolute pressure is 214 kPa.
So, the correct answer is A. 214 kPa.
1. Understand the Concepts:
- Gauge Pressure: This is the pressure of the gas above atmospheric pressure. It's how much the pressure exceeds atmospheric pressure.
- Atmospheric Pressure: This is the pressure due to the weight of the atmosphere above us. At sea level, it's approximately 101.3 kPa, but it is often simplified as 100 kPa for easier calculations.
- Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure. It's the sum of gauge pressure and atmospheric pressure.
2. Given Data:
- Gauge pressure = 114 kPa
- Atmospheric pressure ≈ 100 kPa (a commonly used value for simplicity)
3. Calculate Absolute Pressure:
To find the absolute pressure, add the gauge pressure to the atmospheric pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
4. Compute the Result:
- Absolute Pressure = 214 kPa
Therefore, the absolute pressure is 214 kPa.
So, the correct answer is A. 214 kPa.
