Answer :
To find the absolute pressure when the gauge pressure of a gas is given, you should add the atmospheric pressure to the gauge pressure.
1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. In this problem, it is given as 114 kPa.
- Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. On average, it is approximately 101.325 kPa at sea level.
2. Formula for Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
3. Substitute the Values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.325 \, \text{kPa} = 215.325 \, \text{kPa}
\][/tex]
After performing the calculation, the absolute pressure is approximately 215.325 kPa. Therefore, the nearest whole number to this value from the given options is not listed directly, but if approximately dealing it rounds well within nearby options:
If we assume any rounding scenarios, list "A. 214 kPa" could be expected as to best match.
(However, ensure to follow instructor's intentions and the problem's constraints by checking rounding assumptions per context if needed.)
1. Understand the Terms:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. In this problem, it is given as 114 kPa.
- Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. On average, it is approximately 101.325 kPa at sea level.
2. Formula for Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
3. Substitute the Values:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.325 \, \text{kPa} = 215.325 \, \text{kPa}
\][/tex]
After performing the calculation, the absolute pressure is approximately 215.325 kPa. Therefore, the nearest whole number to this value from the given options is not listed directly, but if approximately dealing it rounds well within nearby options:
If we assume any rounding scenarios, list "A. 214 kPa" could be expected as to best match.
(However, ensure to follow instructor's intentions and the problem's constraints by checking rounding assumptions per context if needed.)
