Step-by-step explanation:
We need to use the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat (q) added to the system minus the work (w) done by the system:
ΔU = q - w
First, we need to convert the units of work from kcal to kJ:
375 kcal × 4.184 J/kcal = 1570.5 J = 1.5705 kJ
Now we can plug in the values we have:
ΔU = (5.00×10² kJ) - (1.5705 kJ)
ΔU = 498.4295 kJ
Therefore, the change in internal energy of the system is ΔU = 498.4295 kJ.