Final answer:
The change in internal energy of the engine is calculated by subtracting the work done by the system from the heat generated, resulting in a change in internal energy of 1713 joules.
Step-by-step explanation:
To calculate the change in the internal energy of the engine, we can use the first law of thermodynamics, which states that the change in internal energy (ΔU) is equal to the heat added to the system (Q) minus the work done by the system (W). In this case, the engine does 587 joules of work and generates 2300 joules of heat. According to the first law of thermodynamics, we subtract the work done from the heat generated to find the change in internal energy.
The formula for the change in internal energy is:
ΔU = Q - W
ΔU = 2300 J (heat generated) - 587 J (work done)
ΔU = 1713 J
Therefore, the change in the internal energy of the engine is 1713 joules.