Heat Engines

A heat engine consists of three essential components: a hot reservoir that serves as the heat source, a working substance that transfers heat during cyclic operation, and a cold reservoir acting as the heat sink. The working substance absorbs heat from the hot reservoir, converts part of it into useful mechanical work, and rejects the remaining heat to the cold reservoir.

Thermal efficiency is defined as the ratio of useful work output to the total heat absorbed from the hot reservoir during each cycle. It represents what we get out divided by what we put in. In practical heat engines, efficiency is always less than unity because it is impossible to convert all absorbed heat into work; some heat is always lost to the cold reservoir.

According to the first law of thermodynamics, in an ideal reversible heat engine, the change in internal energy is zero. This means the heat absorbed must equal the work done plus the heat rejected. Therefore, some heat must always be transferred to the cold reservoir, making it thermodynamically impossible to achieve 100% efficiency or convert all heat into mechanical work.

An ideal reversible heat engine operates with zero change in internal energy and represents the theoretical maximum efficiency. Practical heat engines always have efficiency less than this ideal value due to irreversibilities such as friction, heat losses through engine walls, and incomplete combustion. Real engines like power plants and internal combustion engines cannot achieve the theoretical efficiency of reversible engines.

Power plants use steam generated at high temperatures to drive electric generators, then release waste heat to the atmosphere or water bodies as the cold reservoir. Internal combustion engines use a hot gas-air mixture to push pistons and produce mechanical work, similarly rejecting heat to the surrounding atmosphere. Both extract heat from a high-temperature source and convert part of it into useful work.

The hot reservoir at temperature Th provides the heat energy Qh that drives the engine, while the cold reservoir at temperature Tc receives the rejected heat Qc. The temperature difference between these reservoirs enables the engine to perform work W. Without both reservoirs at different temperatures, no net work can be extracted from the system.

The first law of thermodynamics states that energy is conserved: the heat absorbed from the source equals the work output plus the heat rejected to the sink. For an ideal reversible heat engine, the internal energy change is zero, confirming this energy balance. This fundamental principle explains why efficiency must always be less than unity in any real heat engine.