Answer :

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

1. Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It tells you how much pressure is above atmospheric pressure.

2. Atmospheric Pressure: This is the pressure exerted by the weight of the atmosphere. At sea level, a typical value for atmospheric pressure is 101.3 kPa.

3. Absolute Pressure: This is the total pressure exerted by the gas, including the atmospheric pressure. It is the sum of gauge pressure and atmospheric pressure.

The formula to find absolute pressure is:
[tex]\[ \text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure} \][/tex]

Now, let's calculate:

- Gauge Pressure = 114 kPa
- Atmospheric Pressure = 101.3 kPa

So, the absolute pressure is:
[tex]\[ 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa} \][/tex]

Now compare this with the options provided:

Since the calculated absolute pressure is 215.3 kPa but there is no exact match, and closest answer is D. 214 kPa (which is likely intended to be rounded for simplicity). While it's not exact, D is the best choice among the provided options given typical practice in such problems.

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Rewritten by : Barada