Change in enthalpy is -1000kJ.
According to the first law of thermodynamics,
ΔU = q + w
w = 0.
Heat (q) generated by 0.5 mole of sugar = -2000 kJ
So, 1 mole of sugar will generate amount of heat is
= -2000kJ * 0.5
= -1000 kJ
So, putting the values into the formula
ΔU = q + w
= -1000 kJ + 0
= -1000 kJ
Additionally, in accordance with the definition of enthalpy, enthalpy and internal energy have the following relationships.
ΔH = ΔU + PΔV
As change in volume is 0.
ΔH = ΔU
= -1000 kJ
As a result, we may say that the system's change in enthalpy (ΔH) is -1000 kJ.
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