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In a certain hypothetical radioactive decay process, species A
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In a certain hypothetical radioactive decay process, species A decays into species B and species B decays into species C according to the reactions: A→2B+particles+energy B→3C+particles+energy The decay constant for species is λ1=1sec−1 and that for the species B is λ2=100sec−1. Initially 104moles of species of A were present while there was none of B and C. It was found that species B reaches its maximum number of moles of B.

A
1

B
2

C
5

D
4

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In a certain hypothetical radioactive decay process, species A decays into species B and species B decays into species C according to the reactions: A→2B+particles+energy B→3C+particles+energy The decay constant for species is λ1=1sec−1 and that for the species B is λ2=100sec−1. Initially 104moles of species of A were present while there was none of B and C. It was found that species B reaches its maximum number of moles of B.
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[b] dNAdt=−λ1NA,dNBdt=2λ1NA−λ2NB, NB= maximum ⇒dNBdt=0 ⇒2λ1NA=λ2NBmax⇒NBmax=2λ1λ2NA ⇒NBmax=2λ1λ2N0e−λ1t=2
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Question Text
In a certain hypothetical radioactive decay process, species A decays into species B and species B decays into species C according to the reactions: A→2B+particles+energy B→3C+particles+energy The decay constant for species is λ1=1sec−1 and that for the species B is λ2=100sec−1. Initially 104moles of species of A were present while there was none of B and C. It was found that species B reaches its maximum number of moles of B.
Answer TypeText solution:1
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