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ID: 2000115 • Letter: I

Question

iscrms/mod/ibi C D r anon Ice Box-Yo Blackboard Learn MRank these temperat eSouth Carolina State. sapling leaming Map The storage of radioactive waste is an important 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 9.60 10 (c-1. This canister will be filled at room temperature (23.0 c) and lowered deep into the Earth (where temperatures can reach 125°C) for storage. If the coefficient of volume expansion of the metal is 4.10 × 10"()-1 how much waste will spill over the top if the lid becomes loose? volume expansion of the metal is 4.10 x 10 ('C), how much waste will spillover the top if the lid Number gallons U Provious.ey Chook Answer ! Exi, Hint Next

Explanation / Answer

Here ,

volume of canister , V = 40 gallon

volume expansion of canister , ym = 4.1 *10^-5 1/degree C

volume of expansion of waste , yr = 9.6 *10^-4 1/degree C

change in temperature , del T =125 - 23

del T = 102 degree C

waste spilled = V * (yr - ym) * del T

waste spilled = 40 * (9.6 *10^-4 - 4.1 *10^-5) * 102

waste spilled = 3.75 gallon

the waste spilled will be 3.75 gallon