Final answer:
The heat transfer can be calculated using the first law of thermodynamics; the heat transfer is 200 J.
Step-by-step explanation:
The heat energy transferred can be determined using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat transfer into the system minus the work done by the system:
Change in internal energy = Heat transfer - Work
In this case, the internal energy of the system decreases by 300 J and 500 J of work is done on the system. Therefore, we can calculate the heat transfer as follows:
Heat transfer = Change in internal energy + Work
Heat transfer = -300 J + 500 J = 200 J