Answer :

To find the absolute pressure when the gauge pressure of a gas is 114 kPa, you need to remember the relationship between gauge pressure and absolute pressure.

Absolute pressure is the total pressure exerted on a system, which includes both the gauge pressure and the atmospheric pressure. The formula to calculate absolute pressure is:

[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]

Step-by-step:
1. Identify the gauge pressure: The problem states the gauge pressure is 114 kPa.
2. Use the standard atmospheric pressure: The typical atmospheric pressure at sea level is approximately 101 kPa.
3. Apply the formula:

[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101 \, \text{kPa} = 215 \, \text{kPa}
\][/tex]

4. Select the closest answer choice: Among the given options, 214 kPa is the closest to the calculated absolute pressure of 215 kPa.

Therefore, the best answer for the absolute pressure is:

C. 214 kPa

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Rewritten by : Barada