Final answer:
The change in internal energy (ΔE) of the system is +0.400 kJ, indicating that more energy entered the system than left. The process is therefore endothermic.
Step-by-step explanation:
To determine the change in internal energy (ΔE) of the system given that 0.300 kJ of heat is released (q = -0.300 kJ) and 0.700 kJ of work is performed on it (w = +0.700 kJ), we use the first law of thermodynamics:
ΔE = q + w
Here, a negative value for q indicates heat is released by the system, and a positive value for w indicates work is done on the system. Substituting the given values:
ΔE = (-0.300 kJ) + (+0.700 kJ) = +0.400 kJ
Since the value of ΔE is positive, more energy is entering the system than leaving it, which means the change is endothermic.