Answer :
Sure! Let's go through the steps to determine the absolute pressure given the gauge pressure of a gas.
1. Understand the terms:
- Gauge Pressure: This is the pressure of the gas measured by the gauge, which does not account for the atmospheric pressure.
- Absolute Pressure: This is the total pressure exerted by the gas, which includes the atmospheric pressure plus the gauge pressure.
2. Standard Atmospheric Pressure:
- Generally, the standard atmospheric pressure is considered to be around 100 kPa.
3. Given Information:
- Gauge pressure of the gas is 114 kPa.
4. Formula to calculate Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
5. Plug in the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
6. Perform the calculation:
[tex]\[
\text{Absolute Pressure} = 214 \, \text{kPa}
\][/tex]
Therefore, the absolute pressure is 214 kPa.
The correct answer is:
C. 214 kPa
1. Understand the terms:
- Gauge Pressure: This is the pressure of the gas measured by the gauge, which does not account for the atmospheric pressure.
- Absolute Pressure: This is the total pressure exerted by the gas, which includes the atmospheric pressure plus the gauge pressure.
2. Standard Atmospheric Pressure:
- Generally, the standard atmospheric pressure is considered to be around 100 kPa.
3. Given Information:
- Gauge pressure of the gas is 114 kPa.
4. Formula to calculate Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
5. Plug in the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa}
\][/tex]
6. Perform the calculation:
[tex]\[
\text{Absolute Pressure} = 214 \, \text{kPa}
\][/tex]
Therefore, the absolute pressure is 214 kPa.
The correct answer is:
C. 214 kPa
