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Beantwortet: Zerfallgesetz radioaktiver Substanzen N(t) = N_0*e^(λ*t)

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a)

Halbwertszeit r

0.5^(t/r) = EXP(LN(0.5^(t/r))) = EXP(t/r*LN(0.5)) --> λ = LN(0.5) / r

b)

0.5^(t/30) = 0.1 --> t = 99.66 Jahre

λ = LN(0.5) / 30 = - 0.02310


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