Heat transferred through the battery is given by
[tex]Heat = Power \times time[/tex]
now we know that power due to battery is given by product of voltage and current
so here we will have
[tex]P = V \times i[/tex]
here we will have
we know that
[tex]V = 12 volts[/tex]
[tex] i = 5 A[/tex]
now we will have
[tex]P = 12\times 5 = 60 watt[/tex]
now this system is used for t = 5 min
so total energy transferred is given by
[tex]E = P\times t[/tex]
[tex]E = 60 \times (5\times 60)[/tex]
[tex]E = 18000 J[/tex]
now we have
[tex]E = 18 kJ[/tex]
so the energy would be 18 kJ