The given reaction is:
Mg(s) + 2HNO3 (aq) → Mg(NO3)2(aq) + H2(g)
The heat lost is given as:
q = mc(T2-T1) = 0.00500 mol * 12 g.mol-1 * 4.18 J/gC (30.5-25)C = 1.379 J
The volume of solution = 100 ml
Density = 1 g/ml
Mass of Mg(NO3)2 solution = 100 g
Molar mass of Mg(NO3)2 = 148 g/mol
# moles Mg(NO3)2 = 100/148 = 0.6756 moles
ΔH(rxn) = 1.379 J/0.6756 moles = 2.041 J/mol