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Answer :
To find the absolute pressure from the given gauge pressure, we need to understand the relationship between gauge pressure, atmospheric pressure, and absolute pressure.
1. Gauge Pressure: This is the pressure of the gas compared to the atmospheric pressure. It doesn't include the atmospheric pressure in its measurement.
2. Atmospheric Pressure: This is the pressure exerted by the Earth's atmosphere. It's commonly considered to be approximately 101 kPa at sea level.
3. Absolute Pressure: This is the total pressure exerted by the gas, including the atmospheric pressure.
The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Given:
- Gauge Pressure = 156 kPa
- Atmospheric Pressure = 101 kPa
Calculating Absolute Pressure:
[tex]\[ \text{Absolute Pressure} = 156 \, \text{kPa} + 101 \, \text{kPa} = 257 \, \text{kPa} \][/tex]
Upon rounding, since none of the options directly provide the result, 257 kPa is close to an actual calculated value but matches 256 kPa as the best multiple-answer choice. Therefore, the correct choice that corresponds closely to the calculated result is:
D. 256 kPa
1. Gauge Pressure: This is the pressure of the gas compared to the atmospheric pressure. It doesn't include the atmospheric pressure in its measurement.
2. Atmospheric Pressure: This is the pressure exerted by the Earth's atmosphere. It's commonly considered to be approximately 101 kPa at sea level.
3. Absolute Pressure: This is the total pressure exerted by the gas, including the atmospheric pressure.
The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Given:
- Gauge Pressure = 156 kPa
- Atmospheric Pressure = 101 kPa
Calculating Absolute Pressure:
[tex]\[ \text{Absolute Pressure} = 156 \, \text{kPa} + 101 \, \text{kPa} = 257 \, \text{kPa} \][/tex]
Upon rounding, since none of the options directly provide the result, 257 kPa is close to an actual calculated value but matches 256 kPa as the best multiple-answer choice. Therefore, the correct choice that corresponds closely to the calculated result is:
D. 256 kPa
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