An enclosed ideal gas undergoes a state change from to via two separate paths: Path A is completely — Thermodynamics and Thermochemistry Chemistry Question
Question
An enclosed ideal gas undergoes a state change from $(P_1, V_1, T_1)$ to $(P_2, V_2, T_2)$ via two separate paths: Path A is completely reversible, while Path B is highly irreversible. Which of the following thermodynamic values will ultimately be identical for both paths?
💡 Solution & Explanation
Thermodynamic variables fall into two distinct categories: State functions and Path functions. Internal energy ($U$) and Enthalpy ($H$) are strict state functions; their changes depend purely on the initial and final macroscopic states, rendering $\Delta U$ and $\Delta H$ identical regardless of path reversibility. Contrastingly, heat ($q$) and work ($w$) are path-dependent functions whose exact magnitudes are determined by the specific mechanical and thermal process trajectory used.