When 1.3584 g of sodium acetate trihydrate was mixed into 100.0 cm3 of 0.2000 m HCl(aq) at 25°C in a solution calorimeter, its temperature fell by 0.397°C on account of the reaction:
H3O+(aq) + NaCH3CO2 · 3 H2O(s)
→Na+(aq) + CH3COOH(aq) + 4 H2O(l).
The heat capacity of the calorimeter is 91.0 J K-1 and the heat capacity density of the acid solution is 4.144 J K-1 cm-3. Determine the standard enthalpy of formation of the aqueous sodium cation. The standard enthalpy of formation of sodium acetate trihydrate is -1064 kJ mol-1.