Samples of two radioactive nuclides, X and Y, each have equal activity $$A0$$ at time t $$=$$ $$0$$. X has $$half-life$$ of $$24$$ years and Y a $$half-life$$ of $$16$$ years. The samples are mixed together. What will be the total activity of the mixture at t $$=$$ $$48$$ years ?

Question

Samples of two radioactive nuclides, X and Y, each have equal activity $$A0$$ at time t $$=$$ $$0$$. X has $$half-life$$ of $$24$$ years and Y a $$half-life$$ of $$16$$ years. The samples are mixed together. What will be the total activity of the mixture at t $$=$$ $$48$$ years ?

Infinity Learn · Accepted Answer

GivenX has activity $$A0$$ at t $$=$$ $$0$$  and its $$half-life$$ is $$24$$ years.Y has activity $$A0$$ at t $$=$$ $$0$$  and its $$half-life$$ is $$16$$ years.At t $$=$$ $$24$$ years ⇒activity of $$X=12A0At$$ t $$=$$ $$48$$ years ⇒activity of $$X=14A0At$$ t $$=$$ $$16$$ years ⇒activity of $$Y=12A0At$$ t $$=$$ $$32$$ years ⇒activity of $$Y=14A0At$$ t $$=$$ $$48$$ years ⇒activity of $$Y=18A0Thus$$ total activity of the mixture of X and Y at t $$=$$ $$48$$ years is $$14A0+18A0=X=38A0$$

Samples of two radioactive nuclides, X and Y, each have equal activity $A_{0}$ at time t = 0. X has half-life of 24 years and Y a half-life of 16 years. The samples are mixed together. What will be the total activity of the mixture at t = 48 years ?

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Samples of two radioactive nuclides, X and Y, each have equal activity A0 at time t = 0. X has half-life of 24 years and Y a half-life of 16 years. The samples are mixed together. What will be the total activity of the mixture at t = 48 years ?

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Samples of two radioactive nuclides, X and Y, each have equal activity $A_{0}$ at time t = 0. X has half-life of 24 years and Y a half-life of 16 years. The samples are mixed together. What will be the total activity of the mixture at t = 48 years ?