In a 1-cubic foot container, how many cubic feet of compressed air would it hold at 100 psi?

Question

In a 1-cubic foot container, how many cubic feet of compressed air would the container hold at 100 psi (pounds per square inch of pressure)?

If anyone can tell me the answer, or can provide me with a formula to figure this out, I would really appreciate it! Thanks!

Answer 1

PV = PV
comressed vs atmospheric, Temperature constant
100*Vc = 100*1 = 14.7*Va

Solve for Va = 100/14.7

This is basically Boyles law, right?

Answer 2

6.67 cu ft

There is roughly 15 psi at normal atmospheric pressure. So 15 psi gives you 1 cu ft.

You have 100 psi so 100 / 15 is 6.67 cu ft.