A large chamber is separated into Compartment 1 and 2 as shown in the figure bel

Question

A large chamber is separated into Compartment 1 and 2 as shown in the figure below, which are kept at different pressures. Pressure Gage A reads 300 kPa and Pressure Gage B reads 120 kPa. If the local barometer reads 720 mmHg. Determine the absolute pressures in two compartments, and the reading of Gage C. (Tips: Is the pressure read in these gages gage pressure or absolute pressure? What is the background pressure of gage B?)

Explanation / Answer

gauge pressure= absolute pressure - atmospheric pressure. absolute pressure = gauge pressure + atmospheric pressure gauge A = 300 kPa. gauge B = 120 kPa. gauge C=?? let P1 = compartment1 pressure. P2 = compartment 2 pressure. atmospheric pressu= 760 mm Hg. = 1.01325 ×105 Pa = 101 kPa. gauge a is outside the compartment . so, the reading is gauge reading. so, absolute pressure = gauge pressure + atmospheric pressure= 300kpa + 101 kPa.= 401 kPa. == presure in compartment 1 = 401 kpa. absolute pressure in box = gauage pressure. so pressure measured by gauge B = P1 - P2. ==> 120 kPa = P1-P2 presure in compartment 2= 401 - 120 = 281 kpa. the reading of gauge C = 281 - 101 = 180 kPa.

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