c) 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 fall by rupture. If the temperature inside the nuclear reactor was 1,200°C, and the nuclear reactor housing measured 1.0 mx 2.5 mx 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?

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c) 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 fall by rupture. If the temperature
inside the nuclear reactor was 1,200°C, and the nuclear reactor housing measured 1.0 mx 2.5 mx 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?
Transcribed Image Text:c) 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 fall by rupture. If the temperature inside the nuclear reactor was 1,200°C, and the nuclear reactor housing measured 1.0 mx 2.5 mx 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?
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