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Answer :
The gauge pressure of the air in the vessel is 239 kPa. Hence, the correct option is (D).
The gauge pressure of air in a vessel can be calculated by subtracting the ambient atmospheric pressure from the absolute pressure. In this case, the absolute pressure is given as 340 kPa and the ambient atmospheric pressure is 101 kPa.
To find the gauge pressure, we subtract the ambient atmospheric pressure from the absolute pressure:
Gauge pressure = Absolute pressure - Ambient atmospheric pressure
Gauge pressure = 340 kPa - 101 kPa
Gauge pressure = 239 kPa
Therefore, the gauge pressure of the air in the vessel is 239 kPa (option d).
Remember that gauge pressure is the pressure measured relative to atmospheric pressure. In this case, the absolute pressure is higher than the ambient atmospheric pressure, resulting in a positive gauge pressure.
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