Answer :
To find the absolute pressure when you have the gauge pressure, you need to add the atmospheric pressure to the gauge pressure. Here’s how you can solve this:
1. Identify the gauge pressure: In the problem, the gauge pressure is given as 114 kPa.
2. Know the standard atmospheric pressure: Standard atmospheric pressure is typically about 100 kPa. We use this value unless specified otherwise.
3. Calculate the absolute pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Substitute the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
Therefore, the absolute pressure is 214 kPa, which matches option C.
1. Identify the gauge pressure: In the problem, the gauge pressure is given as 114 kPa.
2. Know the standard atmospheric pressure: Standard atmospheric pressure is typically about 100 kPa. We use this value unless specified otherwise.
3. Calculate the absolute pressure:
- Use the formula:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
- Substitute the values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 100 \, \text{kPa} = 214 \, \text{kPa}
\][/tex]
Therefore, the absolute pressure is 214 kPa, which matches option C.
