A $12\mathrm{.}0-$V emf automobile battery has a terminal voltage of $16\mathrm{.}0$ V when being charged by a current of $10\mathrm{.}0$ A$.($a$)$ What is the battery$$s internal resistance? $($b$)$ What power is dissipated inside the battery? $($c$)$ At what rate $($in $$C$/$min$$C$/$min$)$ will its temperature increase if its mass is $20\mathrm{.}0$ kg and it has a specific heat of $0\mathrm{.}300$kcal$/$kg$$C$0\mathrm{.}300$kcal$/$kg$$C$,$ assuming no heat escapes?