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 calculate it step-by-step:
1. Identify the gauge pressure: In this question, the gauge pressure of the gas is 114 kPa.
2. Know the standard atmospheric pressure: The atmospheric pressure at sea level is approximately 101.3 kPa.
3. Calculate the absolute pressure:
- Absolute pressure is the sum of the gauge pressure and the atmospheric pressure.
- So, add the two together:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa}
\][/tex]
4. Find the result:
- When you add 114 kPa and 101.3 kPa, you get 215.3 kPa.
Therefore, considering the options provided, none of them exactly match 215.3 kPa, which indicates there might be an error in the options listed or in interpreting the atmospheric pressure value as a whole number when considering this set of choices.
Nevertheless, if you are strictly required to choose based on rounding or an exact multiple choice match, just keep in mind that the absolute pressure calculated here is approximately 215.3 kPa.
Here's how you can calculate it step-by-step:
1. Identify the gauge pressure: In this question, the gauge pressure of the gas is 114 kPa.
2. Know the standard atmospheric pressure: The atmospheric pressure at sea level is approximately 101.3 kPa.
3. Calculate the absolute pressure:
- Absolute pressure is the sum of the gauge pressure and the atmospheric pressure.
- So, add the two together:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa}
\][/tex]
4. Find the result:
- When you add 114 kPa and 101.3 kPa, you get 215.3 kPa.
Therefore, considering the options provided, none of them exactly match 215.3 kPa, which indicates there might be an error in the options listed or in interpreting the atmospheric pressure value as a whole number when considering this set of choices.
Nevertheless, if you are strictly required to choose based on rounding or an exact multiple choice match, just keep in mind that the absolute pressure calculated here is approximately 215.3 kPa.
