Behavior of Gases Under Pressure

R is a fundamental constant and is the same for all substances. It is called the general) gas constant because it was first discovered in a law valid for gases (Sect. 10.2). The relation above is based upon the phenomenon called mass action in chemistry. We will go more deeply into this in the next chapter. (Note p corresponds here to the molar volume of a so-called ideal gas, as we will see in Sect. 10.2). 

Inserting p into the relation (5.8) yields the following equation  

Those proficient in mathematics immediately see that there is a logarithmic relation between p and p  

The pressure coefficient p of gases is nothing other than the derivative of the function p p) with respect to p. If we take the derivative with respect to p of the function above, we retrieve indeed Eq. (5.16). 

For those interested in mathematics Equation (5.17) can be transformed to result in 

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