Conversion of pressure reading into kpa, Mechanical Engineering

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Convert following reading of pressure to kPa, supposing that the barometer reads 760mm Hg.

(1) 90cm Hg gauge
(2) 40cm Hg vacuum
(3) 1.2m H
2O gauge

Sol: Given that h = 760mm of Hg for Patm

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

N/m2 = 101396.16Pa = 101.39KPa                                                                          ...(i)

(a)  90cm Hg gauge

Pgauge = gh = 13.6 × 103  × 9.81 × 90/100 = 120.07KPa                                             ...(ii)

Pabs  = Patm  + Pgauge = 101.39 + 120.07

Pabs  = 221.46KPa                        .......ANS

(b)  40cm Hg vacuum

Pvacc =  gh = 13.6 × 103  × 9.81 × 40/100 = 53.366KPa                                           ...(iii)

Pabs  = Patm  - Pvacc

= 101.39 - 53.366

Pabs  = 48.02KPa                           .......ANS

(c)1.2m Water gauge

Pgauge  =   gh = 1000 × 9.81 × 1.2 = 11.772KPa                                                              ...(iv)

Pabs  = Patm  + Pgauge

= 101.39 + 11.772

Pabs  = 113.162KPa          .......ANS


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