	p = 100 kpa , T = 20 °C	p = 10,000 kpa , T = 100 °C
	10,000 GPa^-1	100 GPa^-1

It is related to gas compressibility factor as:

c_g = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp}

c_g = - \frac{1}{V} \frac{dV}{dp} = - \frac{d}{dp} \left( \ln V \right)

Substituting from into one arrives to:

c_g = - \frac{d}{dp} \left( \ln \left( \frac{Z}{p} + \ln (\nu R T) \right) \right) = - \frac{p}{Z} \frac{d}{dp} \left( \frac{Z}{p} \right) = 


- \frac{p}{Z} \left( \frac{1}{p} \frac{dZ}{dp}  - \frac{Z}{p^2} \right) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp}

Reference

Chemical Engineering Calculations @ https://checalc.com

See Also

Reference