Answer :
To find the absolute pressure of a gas when its gauge pressure is given, we need to add the atmospheric pressure to the gauge pressure. This is because absolute pressure is the total pressure exerted by the gas, including the atmospheric pressure. The formula we use is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Here are the steps for our calculation:
1. Gauge Pressure: This is the pressure of the gas above atmospheric pressure. It's given as 114 kPa.
2. Atmospheric Pressure: In standard conditions, atmospheric pressure is approximately 100 kPa.
3. Calculation:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
So, the absolute pressure of the gas is 214 kPa.
Therefore, the best answer for the question is:
C. 214 kPa
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Here are the steps for our calculation:
1. Gauge Pressure: This is the pressure of the gas above atmospheric pressure. It's given as 114 kPa.
2. Atmospheric Pressure: In standard conditions, atmospheric pressure is approximately 100 kPa.
3. Calculation:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
So, the absolute pressure of the gas is 214 kPa.
Therefore, the best answer for the question is:
C. 214 kPa
