Answer :
To find the absolute pressure when the gauge pressure of a gas is given, we need to add the atmospheric pressure to the gauge pressure. Here's a step-by-step explanation:
1. Understand Gauge Pressure: Gauge pressure is the pressure of the gas measured above atmospheric pressure. In this case, it is 114 kPa.
2. Know Atmospheric Pressure: Standard atmospheric pressure at sea level is approximately 101.3 kPa.
3. Calculate Absolute Pressure: Absolute pressure is the total pressure exerted by the gas, including atmospheric pressure. It can be found by adding the gauge pressure and the atmospheric pressure together:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \text{ kPa} + 101.3 \text{ kPa}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 215.3 \text{ kPa}
\][/tex]
Therefore, the absolute pressure of the gas is 215.3 kPa. As per the options provided, this corresponds to none of the given choices, as the closest choice is D. 214 kPa, but that is not correct based on our calculation.
1. Understand Gauge Pressure: Gauge pressure is the pressure of the gas measured above atmospheric pressure. In this case, it is 114 kPa.
2. Know Atmospheric Pressure: Standard atmospheric pressure at sea level is approximately 101.3 kPa.
3. Calculate Absolute Pressure: Absolute pressure is the total pressure exerted by the gas, including atmospheric pressure. It can be found by adding the gauge pressure and the atmospheric pressure together:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \text{ kPa} + 101.3 \text{ kPa}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 215.3 \text{ kPa}
\][/tex]
Therefore, the absolute pressure of the gas is 215.3 kPa. As per the options provided, this corresponds to none of the given choices, as the closest choice is D. 214 kPa, but that is not correct based on our calculation.
