Answer :
To determine the absolute pressure of a gas when given the gauge pressure, you must add the gauge pressure to the atmospheric pressure. The gauge pressure is the pressure measured by the gauge, which is relative to the local atmospheric pressure. The atmospheric pressure at sea level is approximately 100 kPa.
Given that:
- The gauge pressure is 114 kPa.
- The atmospheric pressure is approximately 100 kPa.
The absolute pressure is calculated by adding these two values:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Substitute the given values:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} \][/tex]
[tex]\[ \text{Absolute Pressure} = 214 \, \text{kPa} \][/tex]
Therefore, the absolute pressure is 214 kPa.
The best answer from the given options is:
D. 214 kPa
Given that:
- The gauge pressure is 114 kPa.
- The atmospheric pressure is approximately 100 kPa.
The absolute pressure is calculated by adding these two values:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Substitute the given values:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} \][/tex]
[tex]\[ \text{Absolute Pressure} = 214 \, \text{kPa} \][/tex]
Therefore, the absolute pressure is 214 kPa.
The best answer from the given options is:
D. 214 kPa