Relate the output of energy from a heat engine to the energy put into the heat engine considering the second law of thermodynamics. you're answer would be greatly appreciated.

Considering the II law of thermodynamics

From the figure

Out put of energy:

Heat supplied from the source/ reservoir  (Q₁) - Heat rejected to the surroundings from the system (Q) = Q₁ - Q₂. Also known as Net work done on the system.

Input of energy:

Amount of heat energy supplied to the system from the source (Q₁ ).

Efficiency (H.E) = η = Output÷ Input

                             η  = (Q₁ - Q₂) ÷ Q₁

                      OR η = Wnet ÷ Q₁ ;        since Wnet = (Q₁ - Q₂)

c. magnitude and direction