When a high - temperature source supplies a heat engine with 13 kJ of energy. The heat engine rejects 8 kJ of ene rgy to a low-temperature sink. How much work does the heat engine produce?

The work produced by the heat engine can be calculated using the first law of thermodynamics, which states that the work done (W) is equal to the energy supplied (Q_in) minus the energy rejected (Q_out). In this case, W = Q_in - Q_out = 13 kJ - 8 kJ = 5 kJ. Therefore, the heat engine produces 5 kJ of work.