Question

A storage tank is being designed for iodine. The storage tank is to be spherical and will withstand a maximum hydrostatic pressure of 1 comma 375 millimeters of mercury​ [mm Hg]. What is the diameter of the tank in meters​ [m]? The density of iodine is 5 comma 010 kilograms per cubic meter left bracket kg divided by m cubed right bracket.

Answer 1

3.73 m

Explanation:

1375 mm Hg corresponds to a pressure of 18693.264 kgf/m^2.

Dividing that by the density will give the depth allowed, which is the diameter of the sphere:

(18693.264 kgf/m^2)/(5010 kgf/m^3) ≈ 3.73 m

The sphere can be up to 3.73 m in diameter.

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1 kgf is the force produced by a 1 kg mass in Earth's gravity field, about 9.8 N.