$7-$If the capacity of a full Li$-$ion battery is determined by LiMn$204/$graphite electrode, assume the weight of LiMn$204$ cathode is $200$g$,($a$-1)$Determine the specific capacity for LiMn$20.$ and graphite; $($a$-2)$ what is actual capacity $($Ah$)$ of this battery $($b$)$ how much weight of graphite anode needs to prepare to match with?; $($c$)$ What charge current $($A$)$ should be used when this battery wants to be charged in $15$ min and $4$h$,$ respectively, $($d$)$ assume this battery has a constant OCV of $4\mathrm{.}0$V and internal resistance of $0\mathrm{.}2$ ohm, if you want to charge this battery in $10$h$,$ and $15$ min, using constant$-$current mode, respectively, determine the applied voltage needed. $($atomic weight for Li$=6\mathrm{.}9.$Mn$=55)$