Answer :
To find the absolute pressure when you know the gauge pressure, you need to add the gauge pressure to the atmospheric pressure. Gauge pressure is the pressure of the gas measured by a gauge, which does not include atmospheric pressure.
Here is how you can calculate the absolute pressure:
1. Understand the definitions:
- Gauge Pressure: This is the pressure of the gas in relation to atmospheric pressure. In this problem, it is given as 114 kPa.
- Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. Typically, atmospheric pressure at sea level is about 100 kPa.
2. Formula for Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
3. Substitute the given values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa
4. Calculate the Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
So, the absolute pressure is 214 kPa, which corresponds to option D.
Here is how you can calculate the absolute pressure:
1. Understand the definitions:
- Gauge Pressure: This is the pressure of the gas in relation to atmospheric pressure. In this problem, it is given as 114 kPa.
- Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. Typically, atmospheric pressure at sea level is about 100 kPa.
2. Formula for Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
3. Substitute the given values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa
4. Calculate the Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
So, the absolute pressure is 214 kPa, which corresponds to option D.
