In a certain hypothetical radioactive decay process, species A decays into species B and species B decays into species C according to the reactions
$A \to 2 B + p a r t i c l e s + e n e r g y$
$B \to 2 C + p a r t i c l e s + e n e r g y$
The decay constant for species A is $λ_{1} = 1 s^{- 1}$ and that for species B is $λ_{2} = 100 s^{- 1}$ . Initially, $10^{4}$ moles of species of A were present while there was none of B and C. It was found that while there was none of B and C. It was found that species B reaches its maximum number at a time $t_{0} = 2 l n (10) s$ . Calculate the value of maximum number of moles of B

Question

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 \to 2 B + p a r t i c l e s + e n e r g y

B \to 2 C + p a r t i c l e s + e n e r g y

The decay constant for species A is

λ_{1} = 1 s^{- 1}

and that for species B is

λ_{2} = 100 s^{- 1}

. Initially,

10^{4}

moles of species of A were present while there was none of B and C. It was found that while there was none of B and C. It was found that species B reaches its maximum number at a time

t_{0} = 2 l n (10) s

. Calculate the value of maximum number of moles of B

Toppr Admin · Accepted Answer