## Boyle-Mariotte Law

**Boyle-Mariotte Law** is one of the gas laws. At the end of the 17th century, Robert William Boyle and Edme Mariotte independently studied the relationship between the **volume** and **pressure** of a gas **at constant temperature**. The results of certain experiments with gases at relatively low pressure led Robert Boyle to formulate a well-known law. It states that:

*For a fixed mass of gas at constant temperature, the volume is inversely proportional to the pressure.*

That means that, for example, if you increase the volume 10 times, the pressure will decrease 10 times. If you halve the volume, you will double the pressure.

You can express this mathematically as:

*pV = constant*

*or*

*p _{1}V_{1} = p_{2}V_{2}*

Yes, it seems to be identical as **isothermal process** of ideal gas. In fact, during their experiments the temperature remain constant as was assumed by Mariotte. These results are fully consistent with **ideal gas law**, which determinates, that the constant is equal to **nRT**.

*pV = nRT*

where:

*p*is the absolute pressure of the gas*n*is the amount of substance*T*is the absolute temperature*V*is the volume*R*is the ideal, or universal, gas constant, equal to the product of the Boltzmann constant and the Avogadro constant,

In this equation the symbol R is a constant called the universal gas constant that has the same value for all gases—namely, R = 8.31 J/mol K.

We hope, this article, **Boyle-Mariotte Law**, helps you. If so, **give us a like** in the sidebar. Main purpose of this website is to help the public to learn some interesting and important information about thermal engineering.