Answer :
To find the absolute pressure when the gauge pressure of a gas is 114 kPa, we need to understand the relationship between gauge pressure, atmospheric pressure, and absolute pressure.
1. Gauge Pressure: This is the pressure measured by a gauge and is above atmospheric pressure. In this question, the gauge pressure is given as 114 kPa.
2. Atmospheric Pressure: This is the pressure at the Earth's surface due to the weight of the air. It is typically around 101 kPa. However, you might encounter it approximated to 100 kPa for simplicity in some cases.
3. Absolute Pressure: This is the total pressure of the gas, including both the atmospheric pressure and the gauge pressure. It can be calculated using the formula:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Using this formula, we can calculate the absolute pressure:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa} \][/tex]
From the options provided:
A. 220 kPa
B. 50 kPa
C. 214 kPa
D. 14 kPa
The correct answer is C. 214 kPa.
1. Gauge Pressure: This is the pressure measured by a gauge and is above atmospheric pressure. In this question, the gauge pressure is given as 114 kPa.
2. Atmospheric Pressure: This is the pressure at the Earth's surface due to the weight of the air. It is typically around 101 kPa. However, you might encounter it approximated to 100 kPa for simplicity in some cases.
3. Absolute Pressure: This is the total pressure of the gas, including both the atmospheric pressure and the gauge pressure. It can be calculated using the formula:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Using this formula, we can calculate the absolute pressure:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa} \][/tex]
From the options provided:
A. 220 kPa
B. 50 kPa
C. 214 kPa
D. 14 kPa
The correct answer is C. 214 kPa.
