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Answer :
The absolute pressure of the system is 81.3 kPa (option D). To determine the absolute pressure of the system when a gauge reads -20 kPa (vacuum), we need to consider the relationship between absolute pressure and gauge pressure.
Absolute pressure is the total pressure exerted by a fluid, including atmospheric pressure. Gauge pressure, on the other hand, measures the pressure relative to atmospheric pressure.
When a gauge reads -20 kPa (vacuum), it means the pressure is below atmospheric pressure. To convert gauge pressure to absolute pressure, we add the atmospheric pressure to the gauge pressure.
Since the gauge reads -20 kPa, we can assume the atmospheric pressure is approximately 101.3 kPa.
Adding the gauge pressure to atmospheric pressure:
Absolute pressure = Gauge pressure + Atmospheric pressure
Absolute pressure = -20 kPa + 101.3 kPa = 81.3 kPa
Therefore, the absolute pressure of the system is 81.3 kPa (option D).
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