Answer :
To find the absolute pressure, you need to add the gauge pressure to the atmospheric pressure. Here's how you can do it:
1. Gauge Pressure: This is given in the problem as 114 kPa.
2. Atmospheric Pressure: Standard atmospheric pressure at sea level is typically around 101.3 kPa. This is the pressure exerted by the weight of the atmosphere.
3. Absolute Pressure: Absolute pressure is the total pressure exerted on a system, which is the sum of the gauge pressure and the atmospheric pressure.
So, you calculate it like this:
[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]
However, since this exact numerical value of 215.3 kPa is not an option listed in your multiple-choice answers, it seems there might be a slight rounding or option error. But when considering the calculation, the closest provided option would be:
D. 214 kPa
Therefore, the best answer given the choices is:
D. 214 kPa
1. Gauge Pressure: This is given in the problem as 114 kPa.
2. Atmospheric Pressure: Standard atmospheric pressure at sea level is typically around 101.3 kPa. This is the pressure exerted by the weight of the atmosphere.
3. Absolute Pressure: Absolute pressure is the total pressure exerted on a system, which is the sum of the gauge pressure and the atmospheric pressure.
So, you calculate it like this:
[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]
However, since this exact numerical value of 215.3 kPa is not an option listed in your multiple-choice answers, it seems there might be a slight rounding or option error. But when considering the calculation, the closest provided option would be:
D. 214 kPa
Therefore, the best answer given the choices is:
D. 214 kPa
