The half-life of krypton-91 ("Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas. (a) Find a function m(t) = m,2-h that models the amount of "Kr remaining in the canister after t seconds. (b) Find a function m(1) = m,e¯ that models the amount of "Kr remaining in the canister after i seconds. (c) How much "Kr remains after I min? (d) After how long will the amount of "Kr remaining be reduced to 1 ug (1 microgram, or 10- g)?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter43: Nuclear Physics
Section: Chapter Questions
Problem 25P: Enter the correct nuclide symbol in each open tan rectangle in Figure P43.25, which shows the...
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The half-life of krypton-91 ("Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of
this radioactive gas.
(a) Find a function m(t) = m,2-h that models the amount of "Kr remaining in the
canister after t seconds.
(b) Find a function m(1)
= m,e¯
that models the amount of "Kr remaining in the
canister after i seconds.
(c) How much "Kr remains after I min?
(d) After how long will the amount of "Kr remaining be reduced to 1 ug (1 microgram,
or 10- g)?
Transcribed Image Text:The half-life of krypton-91 ("Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas. (a) Find a function m(t) = m,2-h that models the amount of "Kr remaining in the canister after t seconds. (b) Find a function m(1) = m,e¯ that models the amount of "Kr remaining in the canister after i seconds. (c) How much "Kr remains after I min? (d) After how long will the amount of "Kr remaining be reduced to 1 ug (1 microgram, or 10- g)?
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