DOFPro Team
Under Pressure Part 1
Under Pressure Part 2
Pressure≡fnormal/A, with SI units of the Pascal (Pa)
1 Pa≡1 N/m2
Other common units are the Torr or mmHg, the atmosphere (atm), the kilopascal (kPa), the bar, and the pound per square inch (psi).
1 atm=1.01325 bar=101.325 kPa=101325 Pa=760 Torr=14.6959 psi
h
D
A=πD2/4
P0
ρ
m=ρAh, F=mg
ΔP=mgA=ρAhgA=ρgh
P=ΔP+P0=ρgh+P0
P
Some Hydrostatic Pressure Units |
---|
mmHg |
inHg |
inH2O |
ftH2O |
mH2O |
P1+ρAg(h2+h1)
=ρBgh1+ρCgh2+P2
ΔP=P1−P2
=[ρBh1+ρCh2−ρA(h2+h1)]g
For ρA=ρC
ΔP=(ρB−ρA)gh1
PAr=1.493 bar,
T=68 ∘F
ρbenzene=879 kgm3
ρHg=13,546 kgm3
Patm=1.000 atm
ΔP=ρgh
Patm+ΔPpiston+ΔPC6H6=ΔPHg+PAr
101,325 Pa+ρpiston g (20 cm)+879 kgm3 g (19.28 ft)
=13,546 kgm3 g (7.480 in)+149,300 Pa
⟹ρpiston=11,500 kgm3=11.50gcm3
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