In order to determine the enthalpy change of the reaction, we first calculate the amount of energy that was liberated by the reaction. This is given by:
Q = mcΔT
For water, the specific heat capacity of water (c) is 4.184 Joules per gram
Q = 189 * 4.184 * (24.7 - 21)
Q = 2925.87 Joules
The enthalpy of a reaction is the energy change per mole of reactants, so the enthalpy change is:
2,925.87 / 2 = 1462.935
The enthalpy change of the reaction is -1462.94 Joules per mole.