# Gas permeation through solid metal?

If I make a box from aluminum (0.5 mm thickness) and put air in it (about 2 bar or 3 bar), would the box lose the air over time (10 years period) or not?

Assuming the temperature will change constantly between 0 to 100 Celsius. I found this equation $J = KD (\sqrt{p_2} − \sqrt{p_1}) / \delta$. Is it the right equation to work with?

I'm a student (Electrical engineering) working on project. I don't need to calculate the exact value I just need to know if it is possible. Please feel free to correct the question (I have never studied fluid dynamics).

Lafferty, Foundations of Vacuum Science and Technology (1998) provides the equation for the gas flow rate (in pressure*volume/time units) $$Q = {kA\over d} (p_1-p_2)$$ where $A$ is the surface area, $d$ the wall thickness, $p_{1,2}$ the pressures on either side of the wall, and $k$ is the permeation conductivity. For nitrogen through steel at 100 °C, the value is $k=10^{-20}~\mathrm{m^2/s}$ (actually extrapolated off-scale).