Final answer:
The change in energy is negative.
Step-by-step explanation:
The amount of energy in the form of heat produced when a volume of 3.81 L of SO₂ is converted to 3.81 L of SO₃ can be calculated using the given information. Since the reaction is exothermic, it releases energy in the form of heat. The heat released is proportional to the amount of substance undergoing the reaction. In this case, the heat released can be calculated by multiplying the number of moles of SO₂ by the energy change for the reaction (AH) per mole of SO₂:
Energy released = 3.81 L × (1 mol SO₂/22.4 L) × (-198 kJ/2 mol SO₂)
Therefore, the change in energy is negative, option (b).