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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 H2O 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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