J.R. S. answered 06/28/22
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
The enthalpy of fusion is the amount of heat needed to melt or freeze 1 mole of a substance at it's freezing/melting point. For aluminum (Al), this is 10.9 kJ / mole. So we need to find how many moles of Al we have in 9.875 g of Al.
mols Al = 9.875 g Al x 1 mol Al / 26.98 g = 0.3660 mols Al
heat required to melt this at the melting point = 0.3660 mols x 10.9 kJ / mol = 3.99 kJ