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QUESTION

# Why is k constant in Boyle's law?

was first formulated as an experimental gas law which described how the pressure of a gas decreased when the volume of said gas increased.

A more formal description of states that the pressure exerted by a mass of ideal gas is inversely proportional to the volume it occupies if temperature and amount of gas remain unchanged.

Mathematically, this can be written as

P alpha 1/V, or PV = "constant"

This is where a k is usually seen, as it is often used to describe a constant value. So the k you are referring to is

PV = "constant" = k

This can be easily derived from the , PV = nRT, for the conditions specified by Boyle's law.

We need to keep the amount of gas, which represents the number of , and the temperature constant. Since R is a constant already, the becomes

PV = nRT = k

Therefore, k must be constant in order to allow for a relationship to be set between pressure and volume.