Answer
Yes, it fits.
Work Step by Step
The first law of thermodynamics which is also known as the law of conservation of energy, states that energy cannot be created or destroyed, only converted from one form to another.
And in heat engines, energy is input into the engine in the form of heat, and this energy is converted into work and waste heat.
The total amount of energy input must equal the total amount of energy output, with some of the input energy being converted into work and some being lost as waste heat. Therefore, the saying "You can't even break even" is accurate in the sense that the total amount of useful work that a heat engine can produce is always less than the total amount of energy put into the engine.
And the second law of thermodynamics introduces the concept of entropy, which is a measure of the disorder or randomness of a system.
The second law states that the total entropy of a closed system always increases over time which means that the system becomes more disordered.
And in heat engines, some of the input energy will always be lost as waste heat
which increases the entropy of the surroundings.
The energy that is lost as waste heat cannot be converted into useful work, so the efficiency of a heat engine is always less than 100%.
Therefore, the saying "You can't win" is accurate in the sense that it is impossible to convert all of the energy put into a heat engine into useful work without also producing waste heat and increasing the entropy of the surroundings.
