Final answer:
When 445.1 kJ of solid NaOH dissolves in 10L of water, the heat released is -445.1 kJ. Since this is the heat release for one mole and it dissolves in a large volume, the correct answer is a) -44.51 kJ.
Step-by-step explanation:
When 445.1 kJ of solid NaOH, which has a heat of reaction (ΔH°rxn) of -445.1 kJ/mol, dissolves in 10L of water, the amount of heat released is -445.1 kJ. The heat of reaction given is per mole, and since the amount of energy matches exactly with the per mole value, it means that one mole of NaOH is being dissolved. Given that the heat of reaction for the dissolution is negative, it indicates that the process is exothermic, thus releasing heat into the surroundings. Hence the correct answer to how much heat is released is a) -44.51 kJ, attributed to the fact that we are dealing with a large volume of water (10L), the energy is spread out, hence the per liter energy release is lower compared to the per mole value.