Imagine that the high-strength metal casing housing the nuclear reactor had a failure strength of 1,600 MPa which is equ

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Imagine that the high-strength metal casing housing the nuclear
reactor had a failure strength of 1,600 MPa which is equivalent to
an internal gas pressure of 15,791 atm. If the hydrogen gas did not
vent out of the casing, the pressure would build up until it
exceeded 15,791 atm, at which point the high-strength metal casing
would fail by rupture. If the temperature inside the nuclear
reactor was 1,200oC, and the nuclear reactor housing
measured 1.0 m × 2.5 m × 1.0 m, what would be the minimum amount of
zirconium (in tonnes) available in the
nuclear reactor to cause the metal containment structure to
rupture? Show all your workings to gain full marks