Answer
$\Delta E = +322 J$
Endothermic
Work Step by Step
The bar of gold absorbs 322J of heat. Since it is absorbing heat, heat is entering the system, so it is positive. This means that q = + 322J. Since $\Delta E = q + w$ then we have
$\Delta E = +322J + 0 = 322 J $
Since this is positive, it means it is endothermic