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 50.0-gallon metal canister of diameter 22.0 inches filled with a radioactive waste possessing a coefficient of volume expansion of 9.60 10-4 (C)1. This canister will be filled at room temperature (23.0C) and lowered deep into the Earth (where temperatures can reach 142C) for storage. If the coefficient of volume expansion of the metal is 4.10 10-5 (C)1, how much waste will spill over the top if the lid becomes loose?



__________________gallons

Explanation / Answer

spillover = expansion of waster - expansion of container =

= V b deltaT - V b deltaT =

= V deltaT (b - 3a) = 25.0 * 102 * (0.00096 - 0.0000410) =

= 2.343 gallons

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