Excellent working and answer by Shootme.
In absolute terms, both cases generate the same,
double, amount of heat (compared to before the
doubling). . However, in terms of observable temperature
rise, only the latter case will register greater
temperature change (compared to before the
doubling).
Conceptually, this is due to the fact that when you double the
volume of solution, the greater volume of water will absorb
the greater amount of heat evolved, resulting in no further
temperature change (compared to before the
doubling). Mathematical working-wise, by Shootme has provided the proof.
Any further question, Chemi lee?