If you compress a gas (work done on the system, so W is negative), the internal energy increases unless heat transfer removes that energy. If you add heat, the system can use that energy to do work (e.g., expand a piston) or store it as internal energy. For a steady-flow device (like a turbine or compressor), the First Law incorporates flow work to become:
The most profound difference is the . Work is high-grade energy that can be fully utilized to produce other forms of energy (e.g., electricity, lifting a weight). Heat is low-grade energy; only a portion of it can be converted into work, as dictated by the Carnot efficiency. Part 5: The First Law of Thermodynamics – The Link Between Work and Heat Work and heat are not independent; they are two sides of the same coin—energy. The First Law of Thermodynamics is the principle of conservation of energy, and it explicitly links work, heat, and the change in a system’s internal energy. For a Closed System: [ \Delta U = Q - W ] engineering thermodynamics work and heat transfer
To the novice, work and heat might seem like simple, everyday terms. However, in the rigorous world of engineering thermodynamics, they have precise, technical meanings that are fundamental to analyzing any system—from a jet engine’s turbine to a laptop’s cooling fan. Understanding the distinction, the sign conventions, and the countless modes of work and heat transfer is not just an academic exercise; it is the key to designing efficient, safe, and powerful thermal systems. If you compress a gas (work done on
Together, they are the only ways a closed system can exchange energy with its surroundings. They are path-dependent, interchangeable to a degree (friction turns work into heat), yet fundamentally limited in their convertibility by the Second Law. Work is high-grade energy that can be fully
[ \dotQ - \dotW = \dotm \left[ (h_2 - h_1) + \frac12(V_2^2 - V_1^2) + g(z_2 - z_1) \right] ]
Or in differential form: [ dU = \delta Q - \delta W ]