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Design a spherical tank, with a wall thickness of 2 cm that will ensure that no more than 50 kg of hydrogen will be lost per year. The tank, which will operate at 500°C, can be made of nickel, aluminum, copper, or iron. The diffusion coefficient of hydrogen and the cost per pound for each available material is listed below.
Diffusion Data
Material
D0 (cm2/s)
Q (cal/mol)
Cost ($ lb)
Nickel
0.0055
8,900
4.10
Aluminum
0.16
10,340
0.60
Copper
0.011
9,380
1.10
Iron (BCC)
0.0012
3,600
0.15
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