The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas. (a) Find a function m(t) = mo2-t/h that models the amount of 91Kr remaining in the canister after t seconds. m(t) = 10 (b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.) m(t) = (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 ug (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.) sec

The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas. (a) Find a function m(t) = mo2-t/h that models the amount of 91Kr remaining in the canister after t seconds. m(t) = 10 (b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.) m(t) = (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 ug (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.) sec

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas.
(a) Find a function m(t) = m,2-t/h that models the amount of 91Kr remaining in the canister after t seconds.
m(t) = 10
(b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.)
m(t) =
(c) How much 9'Kr remains after 1 min? (Round your answer to three decimal places.)
(d) After how long will the amount of 9'Kr remaining be reduced to 1 µg (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.)
sec

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