1.

A manometer shows a vacuum of 260 mm Hg. What will be the value of this pressure in N/m2 in the form of absolute pressure and what will be absolute pressure (N/m2), if the gauge pressure is 260 mm of Hg. Explain the difference between these two pressures.

Answer»

Given that PVacc = 260mm of Hg

 PVacc = ρgh = 13.6 × 103 × 9.81 × 260/1000

 = 34.688 × 103 N/m2           .......ANS                                                               ...(i)

 Patm = ρgh = 13.6 × 103 × 9.81 × 760/1000 = 101396.16

 N/m2 = 101.39 × 103 N/m2                                                                              ...(ii)

 Pabs = Patm – PVacc

 = 101.39 × 103 – 34.688 × 103

 = 66.61 × 103 N/m2            .......ANS

 Now if   

 Pgauge = 260mm of Hg =

 Pgauge = 260mm of Hg = 13.6 × 103 × 9.81 × 260/1000 = 34.688 × 103 N/m2 Pabs = Patm +P gauge

 = 101.39 × 103 + 34.688 × 103 = 136.07 × 103 N/m2 .......ANS

 ANS: Pvacc = 34.7×103 N/m2(vacuum), Pabs = 66.6kPa, 136kpa

Difference is because vacuum pressure is always Negative gauge pressure.

 Or 

vacuum in a gauge pressure below atmospheric pressure and gauge pressure is above atmospheric pressure.



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