Answer :
To solve the problem of finding the absolute pressure of a gas given its gauge pressure, we need to understand the relationship between gauge pressure and absolute pressure.
Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It doesn't take into account the atmospheric pressure already present in the environment.
Absolute Pressure: This is the total pressure of the gas, which includes both the gauge pressure and the atmospheric pressure.
The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Given:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa (assuming standard atmospheric pressure)
By substituting the known values into the formula, we get:
[tex]\[ \text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} \][/tex]
Calculating this, we find:
[tex]\[ \text{Absolute Pressure} = 214 \text{ kPa} \][/tex]
Thus, the absolute pressure is 214 kPa.
Comparing the calculated absolute pressure with the answer choices:
A. 50 kPa
B. 220 kPa
C. 214 kPa
D. 14 kPa
The correct answer is:
C. 214 kPa
Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It doesn't take into account the atmospheric pressure already present in the environment.
Absolute Pressure: This is the total pressure of the gas, which includes both the gauge pressure and the atmospheric pressure.
The formula to calculate absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Given:
- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 100 kPa (assuming standard atmospheric pressure)
By substituting the known values into the formula, we get:
[tex]\[ \text{Absolute Pressure} = 114 \text{ kPa} + 100 \text{ kPa} \][/tex]
Calculating this, we find:
[tex]\[ \text{Absolute Pressure} = 214 \text{ kPa} \][/tex]
Thus, the absolute pressure is 214 kPa.
Comparing the calculated absolute pressure with the answer choices:
A. 50 kPa
B. 220 kPa
C. 214 kPa
D. 14 kPa
The correct answer is:
C. 214 kPa
