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Answer :
Sure! To find the absolute pressure when the gauge pressure of a gas is given, you can follow these steps:
1. Understand the Difference Between Gauge Pressure and Absolute Pressure:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It does not take atmospheric pressure into account.
- Absolute Pressure is the total pressure, including the atmospheric pressure. It is calculated by adding the gauge pressure to the atmospheric pressure.
2. Identify the Given Values:
- We know the gauge pressure is 114 kPa.
- Atmospheric pressure is typically around 101 kPa at sea level.
3. Calculate Absolute Pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Plug in the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101 \, \text{kPa} = 215 \, \text{kPa}
\][/tex]
4. Select the Best Answer:
- From the options provided, 215 kPa matches option C (214 kPa) most closely, which seems to be the correct choice based on this nearby option.
Hence, the answer is C. 214 kPa.
1. Understand the Difference Between Gauge Pressure and Absolute Pressure:
- Gauge Pressure is the pressure of a system above atmospheric pressure. It does not take atmospheric pressure into account.
- Absolute Pressure is the total pressure, including the atmospheric pressure. It is calculated by adding the gauge pressure to the atmospheric pressure.
2. Identify the Given Values:
- We know the gauge pressure is 114 kPa.
- Atmospheric pressure is typically around 101 kPa at sea level.
3. Calculate Absolute Pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Plug in the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101 \, \text{kPa} = 215 \, \text{kPa}
\][/tex]
4. Select the Best Answer:
- From the options provided, 215 kPa matches option C (214 kPa) most closely, which seems to be the correct choice based on this nearby option.
Hence, the answer is C. 214 kPa.
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