The half-life of bismuth-210,210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount remaining after 15 days.(b) Find the amount remaining after t days.(c) Estimate the amount remaining after 3 weeks.(d) Use a graph to estimate the time required for the mass to be reduced to 1 mg.

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Q: The half-life of bismuth-210, 210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount…

A: a) Given  N15 (amount remaining after 15 days) = 200(0.5)^15/5= 200(0.5)^3 = 200 × 0.125 = 25 mg

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.