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Answer :
Final answer:
The absolute pressure within the tank is 103.9 kPa (Option c).
Explanation:
First, we convert the atmospheric pressure from bar to mm Hg:
0.900 bar * 760 mm Hg/bar = 684 mm Hg.
Next, we add this atmospheric pressure to the reading of the vacuum gauge:
684 mm Hg + 390 mm Hg = 1074 mm Hg.
Then, we convert this pressure from mm Hg to kPa:
1074 mm Hg * 0.133322 kPa/mm Hg ≈ 143.14 kPa.
Finally, subtracting the atmospheric pressure, we get the absolute pressure within the tank:
143.14 kPa - 39.9 kPa = 103.9 kPa.
The given statement "If the atmospheric pressure is 0.900 bar and a vacuum gauge attached to a tank reads 390 mm Hg, what is the absolute pressure (kPa) within the tank?" is true because the absolute pressure within the tank is indeed 103.9 kPa, calculated by following the steps outlined above.
Option c) 103.9 kPa.
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