Answer
Heat removed $=418.136\text{ J}$
Work Step by Step
Mass of Ga $=5\text{ g}$
Moles of Ga $=mass/molarmass$
Moles of Ga $=5/69.732=0.071712\text{ moles}$
Heat removed $=mass\times specific$-$heat\times temperature$-$change + moles\times heat$-$fusion$
Heat removed $= 5\times0.374\times(29.76-20.00)+0.071712\times5.576\times1000$
$=418.136\text{ J}$