Physical Chemistry The First Law

Chemical change

Topic overview

Start with the big picture

The First Law expresses the change in a system’s internal energy as ΔU = q + w, with heat and work positive when energy enters the system. In chemical reactions, volume changes can produce pressure–volume work. Calorimetry connects reaction heat to energy changes: at constant volume, q_v = ΔU; at constant pressure, q_p = ΔH. Enthalpy, defined as H = U + PV, is therefore useful for reactions at constant pressure. Negative reaction enthalpy denotes an exothermic change, while positive reaction enthalpy denotes an endothermic one. Because ΔU and ΔH are state functions, reaction enthalpies can be combined using Hess’s law. The lesson also introduces standard enthalpy changes, heat capacity, gas-phase relationships, and cyclic or adiabatic processes.

Learning objectives

What you'll learn

  • Relate heat, work, and internal-energy change using the First Law.
  • Distinguish constant-volume and constant-pressure calorimetry.
  • Interpret reaction enthalpy signs for exothermic and endothermic changes.
  • Explain how state functions support Hess’s law.
  • Identify how heat capacity and gas changes relate to reaction energetics.
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