50mL of 0.1M Sulphuric Acid solution was mixed with 50mL of 0.1M Barium Hydroxide solution. The rise in temperature of the mixture was found to be T1. Will the rise in temperature of the mixture be (1) equal to T1 or (2) more than T1 or (3) less than T1, if 100mL of both the solutions of same concentrations are mixed?
Answer:
The enthalphy of neutralization is the amount of heat released when one equivalent of and acid is neutralized with one equivalent of a base. It is a constant and at 298K its value is -57.3 kJ/mol.
Sulphuric acid is a dibasic acid and Barium Hydroxide is a diacidic base. So, equal moles of them is also same as equal equivalents. In the first case 5 millimoles (or equivalents) of both the acid and base are mixed. This neutralization reaction will release some amount of heat which will be used to increase the temperature of 100mL of the solution. In the second case 10 millimoles (or equivalents) of both the acid and the base are mixed. This neutralization reaction will release twice the amount of heat released in the first case but will now be used to increase the temperature of 200mL of the solution.
In both the cases, the heat per mL of the solution is the same and hence temperature rise will also be the same and equal to T1.
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