Final answer:
The change in internal energy of the system is 1000 J, which is calculated using the first law of thermodynamics with the formula ∆U = Q - W.
Step-by-step explanation:
The question involves the first law of thermodynamics, which relates the change in internal energy of a system to the heat added to the system and the work done on or by the system. According to this law, the change in internal energy (∆U) is equal to the heat added to the system (Q) minus the work done by the system (W). The formula is expressed as ∆U = Q - W. Applying this formula to the given scenario:
∆U = 3000 J - 2000 J
The total change in internal energy of the system is therefore 1000 J.