Answer :
To find the absolute pressure when you're given the gauge pressure, you need to add the atmospheric pressure to the gauge pressure. The atmospheric pressure at sea level is typically around 101.3 kPa.
Here's how you can solve it step-by-step:
1. Identify the gauge pressure: This is the pressure given in the problem, which is 114 kPa.
2. Use the standard atmospheric pressure: Standard atmospheric pressure is usually 101.3 kPa.
3. Calculate the absolute pressure: Add the gauge pressure to the atmospheric pressure.
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa}
\][/tex]
Given the options provided in the question, none of them exactly matches 215.3 kPa. It seems there might be an error in the provided choices. However, according to the calculation, the absolute pressure should be 215.3 kPa. Always double-check the options given.
Here's how you can solve it step-by-step:
1. Identify the gauge pressure: This is the pressure given in the problem, which is 114 kPa.
2. Use the standard atmospheric pressure: Standard atmospheric pressure is usually 101.3 kPa.
3. Calculate the absolute pressure: Add the gauge pressure to the atmospheric pressure.
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa}
\][/tex]
Given the options provided in the question, none of them exactly matches 215.3 kPa. It seems there might be an error in the provided choices. However, according to the calculation, the absolute pressure should be 215.3 kPa. Always double-check the options given.
