Answer :
To solve the question about absolute pressure, we begin by understanding the two key concepts: gauge pressure and atmospheric pressure.
1. Gauge Pressure: This is the pressure of the gas measured above atmospheric pressure. In this case, the gauge pressure is given as 114 kPa.
2. Atmospheric Pressure: This is the pressure exerted by the atmosphere on everything at sea level, approximately 101.3 kPa.
The Absolute Pressure is the total pressure exerted by a gas, which includes both the gauge pressure and atmospheric pressure. The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Plugging the values into the formula, we get:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} \][/tex]
When we add together these pressures, we obtain:
[tex]\[ \text{Absolute Pressure} = 215.3 \, \text{kPa} \][/tex]
This value doesn't directly match any of the options provided. However, if we assess the closest option to this calculated absolute pressure, it’s reasonable to choose option A, 214 kPa, as it is the nearest value, possibly reflecting a simplified or rounded-off answer choice.
Therefore, the best answer is:
- A. 214 kPa
1. Gauge Pressure: This is the pressure of the gas measured above atmospheric pressure. In this case, the gauge pressure is given as 114 kPa.
2. Atmospheric Pressure: This is the pressure exerted by the atmosphere on everything at sea level, approximately 101.3 kPa.
The Absolute Pressure is the total pressure exerted by a gas, which includes both the gauge pressure and atmospheric pressure. The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Plugging the values into the formula, we get:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} \][/tex]
When we add together these pressures, we obtain:
[tex]\[ \text{Absolute Pressure} = 215.3 \, \text{kPa} \][/tex]
This value doesn't directly match any of the options provided. However, if we assess the closest option to this calculated absolute pressure, it’s reasonable to choose option A, 214 kPa, as it is the nearest value, possibly reflecting a simplified or rounded-off answer choice.
Therefore, the best answer is:
- A. 214 kPa
