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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 step-by-step guide:
1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It's the pressure you measure with a gauge, like a tire gauge.
- Atmospheric Pressure: Typically around 100 kPa at sea level. It's the pressure exerted by the weight of the atmosphere.
- Absolute Pressure: This is the total pressure of the gas, including the atmospheric pressure. It can be calculated using the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
2. Given Values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa
3. Calculate Absolute Pressure:
- Using the formula, add the gauge pressure to the atmospheric pressure:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
4. Select the Correct Option:
- According to the given choices, the absolute pressure is 214 kPa, which corresponds to option B.
Therefore, the absolute pressure is 214 kPa, and the correct answer is B) 214 kPa.
1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It's the pressure you measure with a gauge, like a tire gauge.
- Atmospheric Pressure: Typically around 100 kPa at sea level. It's the pressure exerted by the weight of the atmosphere.
- Absolute Pressure: This is the total pressure of the gas, including the atmospheric pressure. It can be calculated using the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
2. Given Values:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa
3. Calculate Absolute Pressure:
- Using the formula, add the gauge pressure to the atmospheric pressure:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
4. Select the Correct Option:
- According to the given choices, the absolute pressure is 214 kPa, which corresponds to option B.
Therefore, the absolute pressure is 214 kPa, and the correct answer is B) 214 kPa.
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