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Answer :
To find the absolute pressure when the gauge pressure of a gas is 114 kPa, follow these steps:
1. Understand the definitions:
- Gauge Pressure: This is the pressure of the gas relative to the atmospheric pressure.
- Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure.
2. Standard Atmospheric Pressure: By convention, the atmospheric pressure is typically taken as 100 kPa (this might vary slightly in different situations, but for this question, we will use 100 kPa).
3. Formula to calculate Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
4. Insert the values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa
5. Perform the calculation:
[tex]\[
\text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} = 214 \text{ kPa}
\][/tex]
So, the absolute pressure is 214 kPa.
Therefore, the best answer is:
A. 214 kPa
1. Understand the definitions:
- Gauge Pressure: This is the pressure of the gas relative to the atmospheric pressure.
- Absolute Pressure: This is the total pressure exerted by the gas, including atmospheric pressure.
2. Standard Atmospheric Pressure: By convention, the atmospheric pressure is typically taken as 100 kPa (this might vary slightly in different situations, but for this question, we will use 100 kPa).
3. Formula to calculate Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
4. Insert the values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa
5. Perform the calculation:
[tex]\[
\text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} = 214 \text{ kPa}
\][/tex]
So, the absolute pressure is 214 kPa.
Therefore, the best answer is:
A. 214 kPa
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