Yes ,The enthalpy of neutralization of strong acid- strong base reaction should be same within the experimental error.
Any neutralisation reaction between strong acid and strong
alkali( base) actually comes down to the same thing i.e. H+ + OH- =
H2O, as all the other ions present are spectator ions and so don't
play an active part in the reaction. As the overall reaction is
always the same irrespective of the acid or alkali the enthalpy
change will also be the same.
If a weak acid is used the enthalpy change will be less exothermic
as some of the energy evolved will be cancelled out by the energy
needed to complete the dissociation of the incompletely dissociated
acid during the reaction
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