Although it's an older question I just wanted to say that above answer uses the Young's modulus incorrectly. It is not supposed to be in the strength calculation. The sigma refers to a maximum strength (same units though force/area).
One typical value you could use is the yield strength of the material but you could also use another value the designer is comfortable with. For high strength alloys it should be in the range of 200 MPa.
Then the thickness for your parameters would be 0.11 mm for tangential stress and obviously half for the axial stress. For pressure vessels strength is rarely the limiting factor.
I've only just signed up, so I hope I'm doing this right :)