Answer :
To find the absolute pressure of a gas when you know its gauge pressure, you need to add the atmospheric pressure to the gauge pressure.
Here's a detailed step-by-step solution:
1. Understand the Definitions:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It is often what pressure gauges show.
- Atmospheric Pressure is the pressure exerted by the weight of the atmosphere. At sea level, it is approximately 100 kPa.
2. Given Values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure (typical value at sea level) = 100 kPa
3. Calculate Absolute Pressure:
- The formula to find absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
4. Plug in the Values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
5. Conclusion:
- The absolute pressure of the gas is 214 kPa.
Therefore, the correct answer is D. 214 kPa.
Here's a detailed step-by-step solution:
1. Understand the Definitions:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It is often what pressure gauges show.
- Atmospheric Pressure is the pressure exerted by the weight of the atmosphere. At sea level, it is approximately 100 kPa.
2. Given Values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure (typical value at sea level) = 100 kPa
3. Calculate Absolute Pressure:
- The formula to find absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
4. Plug in the Values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
5. Conclusion:
- The absolute pressure of the gas is 214 kPa.
Therefore, the correct answer is D. 214 kPa.
