In a certain hypothentical radioactive decay process, species A decays into species B and species B decays into species C according to the reactions :

$A\underset{ }{\to 2B+ particles +energy}$

$B\underset{ }{\to 2C+ particles +energy}$

The decay constant for species is ${\lambda }_1=1{\sec }^{-1}$ and that for the species B is  ${\lambda }_2=100{\sec }^{-1}$ .Initially ${10}^4$ moles of species of A were present while there was none of B and C. It was found that species B reaches its maximum number at a time $t_0=2\text{\hspace{0.17em}l}n\left(10\right)\sec .$ Calculate the value of maximum number of moles of B.