(a) Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds. (b) Find a function m(t) = m0e−rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.) (c) How much 91Kr remains after 1 min? (Round your answer to three decimal places.)
(a) Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds. (b) Find a function m(t) = m0e−rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.) (c) How much 91Kr remains after 1 min? (Round your answer to three decimal places.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas.
(a) Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds.
(b) Find a function m(t) = m0e−rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.)
(c) How much 91Kr remains after 1 min? (Round your answer to three decimal places.)
(d) After how long will the amount of 91Kr remaining be reduced to 1 µg (1 microgram, or 10−6 g)? (Round your answer to the nearest whole number.)
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