Final answer:
The change in internal energy of a system can be calculated by subtracting the work done on the system from the heat transferred to the system. In this case, the change in internal energy is -105 kJ.
Step-by-step explanation:
The change in internal energy of a system can be calculated using the equation: ΔU = Q - W, where ΔU is the change in internal energy, Q is the heat transferred to the system, and W is the work done on the system.
In this case, the system releases 380 kJ of heat (Q = -380 kJ) and has 275 kJ of work done on it (W = -275 kJ). Substituting these values into the equation, we get: ΔU = -380 kJ - (-275 kJ) = -105 kJ.
Therefore, the change in internal energy of the system is -105 kJ.