Answer to Question #178146 in Physics for Elene

Question

What is the compressed air pressure in a 80 liter capacity cylinder if the temperature is 15 degrees and the mass is 4 kilograms?

Answer 1

The pressure can be expressed from the following equation:

$$pV=\frac{m}{\Mu}RT,\\\space\\ p=\frac{m}{V\Mu}RT,\\\space\\ p=\frac{4}{(80·10^{-3})(29·10^{-3})}8.314(15+273.15)=\\\space\\=41.31·10^6\text{ Pa}.$$