Answer :
Sure! To find the absolute pressure when given the gauge pressure of a gas, you need to understand the relationship between gauge pressure and absolute pressure.
Gauge pressure is the pressure measured by a gauge relative to the ambient atmospheric pressure. Absolute pressure is the total pressure exerted, including the atmospheric pressure.
To find the absolute pressure, follow these steps:
1. Identify gauge pressure: Given the gauge pressure of the gas is 114 kPa.
2. Use standard atmospheric pressure: Standard atmospheric pressure is generally taken as 100 kPa.
3. Calculate absolute pressure: Add the gauge pressure to the atmospheric pressure.
Here is the formula:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Now let's apply the numbers:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} \][/tex]
[tex]\[ \text{Absolute Pressure} = 214 \, \text{kPa} \][/tex]
Therefore, the absolute pressure is [tex]\( 214 \, \text{kPa} \)[/tex].
The best answer from the given options is:
C. 214 kPa
Gauge pressure is the pressure measured by a gauge relative to the ambient atmospheric pressure. Absolute pressure is the total pressure exerted, including the atmospheric pressure.
To find the absolute pressure, follow these steps:
1. Identify gauge pressure: Given the gauge pressure of the gas is 114 kPa.
2. Use standard atmospheric pressure: Standard atmospheric pressure is generally taken as 100 kPa.
3. Calculate absolute pressure: Add the gauge pressure to the atmospheric pressure.
Here is the formula:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]
Now let's apply the numbers:
[tex]\[ \text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} \][/tex]
[tex]\[ \text{Absolute Pressure} = 214 \, \text{kPa} \][/tex]
Therefore, the absolute pressure is [tex]\( 214 \, \text{kPa} \)[/tex].
The best answer from the given options is:
C. 214 kPa
