Answer
The energy transfer rate in battery 2 is $~~16~W$
Work Step by Step
In part (a), we found that the current in battery 2 is $i = 2.0~A$
We can find the energy transfer rate in battery 2:
$P = i~\mathscr{E}_2$
$P = (2.0~A)(8.0~V)$
$P = 16~W$
The energy transfer rate in battery 2 is $~~16~W$