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Answer :
In order to determine the absolute pressure of a gas when given the gauge pressure, we need to understand the relationship between gauge pressure and absolute pressure.
Gauge pressure is the pressure of a system above atmospheric pressure. Absolute pressure is the total pressure within the system, which includes the atmospheric pressure.
The formula to calculate the absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
Given:
- Gauge pressure ([tex]\(P_g\)[/tex]) = 114 kPa
- Atmospheric pressure ([tex]\(P_a\)[/tex]) = 100 kPa (standard atmospheric pressure)
Substituting the values into the formula:
[tex]\[
\text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} = 214 \text{ kPa}
\][/tex]
Therefore, the absolute pressure of the gas is:
[tex]\[
\boxed{214 \text{ kPa}}
\][/tex]
So, the correct answer is:
D) 214 kPa.
Gauge pressure is the pressure of a system above atmospheric pressure. Absolute pressure is the total pressure within the system, which includes the atmospheric pressure.
The formula to calculate the absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
Given:
- Gauge pressure ([tex]\(P_g\)[/tex]) = 114 kPa
- Atmospheric pressure ([tex]\(P_a\)[/tex]) = 100 kPa (standard atmospheric pressure)
Substituting the values into the formula:
[tex]\[
\text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} = 214 \text{ kPa}
\][/tex]
Therefore, the absolute pressure of the gas is:
[tex]\[
\boxed{214 \text{ kPa}}
\][/tex]
So, the correct answer is:
D) 214 kPa.
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