ESS101C
Prof. Jin-Yi Yu
Balance
of Force in the Vertical:
Hydrostatic Balance
Vertical pressure force =
Gravitational force
- (dP) x (dA) =
r
x (dz) x (dA) x g
dP =
-
r
gdz
Since P=
r
RT,
dP =
-P/RT x gdz
dP/P =
-g/RT x dz
P =
P
s
exp(-gz/RT)
(from
Climate System Modeling
)