What will be the minimum pressure required to compress 500 `dm^(3)` of air at 1 bar to 200 `dm^(3)` at `30^(@)C`?

Explanation

We are given that
Volume of air `(V_(1))=500 dm^(3)`
Pressure of air `(p_(1))=1` bar
Volume of compressed air `(V_(2))=200 dm^(3)`
We are to find out the pressure required to compress the gas.
According to Boyle.s law:
`p_(1)V_(1)=p_(2)V_(2)`
`p_(2) =(p_(1)V_(1))/(V_(2)) = (1"bar" xx 500 dm^(3))/(200 dm^(3)) =2.5` bar