The storage of radioactive waste is a massive problem in the nuclear industry. O

Question

The storage of radioactive waste is a massive problem in the nuclear industry. One problem that scientists must take into account is volumetric expansion.
Consider a 40.0 gallon metal canister of diameter 22.0 inches filled with a radioactive waste possessing a coefficient of volume expansion of 9.60x10^-4 (degrees celcius)^-1. This canister will be filled at room temperature (23.0 celcius) and lowered deep into the earth where the temperatures can reach 125 celcius for storage. If the coefficient of volume expansion of the metal is 4.10x10^-5 (degrees celcius)^-1 how much waste will spill over the top if the lid becomes loose?

Explanation / Answer

waste

V/V=T =0.09792

can

V/V=T =0.004182

(Vw-Vc)/V=9.3738 % spill over

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