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Answer :
To find the absolute pressure of a gas, you need to add its gauge pressure to the atmospheric pressure. Here's how you can calculate it step-by-step:
1. Understand the terms:
- Gauge Pressure: This is the pressure of the gas measured relative to atmospheric pressure. It's the pressure you often read on a tire gauge or similar device.
- Atmospheric Pressure: This is the pressure exerted by the Earth's atmosphere at sea level, typically around 100 kPa (this is an approximate standard value that is often used for calculations).
2. Given Information:
- The gauge pressure of the gas is 156 kPa.
- The atmospheric pressure is approximately 100 kPa.
3. Calculate the Absolute Pressure:
- Absolute pressure is the total pressure exerted by the gas, which includes both the gauge pressure and the atmospheric pressure.
- Use the formula:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
4. Substitute the Values:
- Insert the given values into the formula:
[tex]\[ \text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa} \][/tex]
5. Perform the Addition:
- Add the two pressures together:
[tex]\[ \text{Absolute Pressure} = 256 \, \text{kPa} \][/tex]
So, the absolute pressure of the gas is 256 kPa, which corresponds to option C in the given choices.
1. Understand the terms:
- Gauge Pressure: This is the pressure of the gas measured relative to atmospheric pressure. It's the pressure you often read on a tire gauge or similar device.
- Atmospheric Pressure: This is the pressure exerted by the Earth's atmosphere at sea level, typically around 100 kPa (this is an approximate standard value that is often used for calculations).
2. Given Information:
- The gauge pressure of the gas is 156 kPa.
- The atmospheric pressure is approximately 100 kPa.
3. Calculate the Absolute Pressure:
- Absolute pressure is the total pressure exerted by the gas, which includes both the gauge pressure and the atmospheric pressure.
- Use the formula:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
4. Substitute the Values:
- Insert the given values into the formula:
[tex]\[ \text{Absolute Pressure} = 156 \, \text{kPa} + 100 \, \text{kPa} \][/tex]
5. Perform the Addition:
- Add the two pressures together:
[tex]\[ \text{Absolute Pressure} = 256 \, \text{kPa} \][/tex]
So, the absolute pressure of the gas is 256 kPa, which corresponds to option C in the given choices.
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