Let’s use the formula for radioactive decay:
N=N0e−λt,here, N0=90.3g is the initial amount of Yttrium-91, N is the amount of Yttrium-91 that will remain after 324 days, λ=0.693/T1/2 is the decay rate, T1/2=59days is the half-life of Yttrium-91 and t=324days is the time elapsed.
Then, we get:
N=N0e−λt=90.3g⋅e−59days0.693⋅324days=2.0g.Answer:
N=2.0g.
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