# Hydrostatic Pressure of a Compressible Fluid

A compressible fluid easily changes its density and volume under different pressures. To calculate the hydrostatic pressure of a compressible fluid the ideal gas law would be used.

(Eq 1)  $P_2 = P_1exp\left[\frac{-g(z_2-z_1}{RT_o}\right]$

P2 = Hydrostatic Pressure

P1 = Initial Pressure

g = gravitational constant

(z2 – z1) = Fluid Head

R = Ideal Gas Constant

To = Average Temperature