Physical Chemistry The First Law

Internal energy and enthalpy

Topic overview

Start with the big picture

Internal energy, U, represents a system’s microscopic kinetic and potential energy and depends on its state. The First Law expresses its change as ΔU = q + w, with heat absorbed and work done on the system taken as positive under the chemistry convention. For pressure–volume work, expansion gives a negative work term; at constant volume, ΔU equals the heat exchanged. Enthalpy is defined as H = U + PV, and at constant pressure its change equals the heat exchanged. The topic also introduces ideal-gas relations between ΔH and ΔU, heat capacities, reaction enthalpy, and the distinction between extensive and intensive properties. Together, these ideas help identify what can be inferred from a process’s conditions and which quantities depend on its path.

Learning objectives

What you'll learn

  • Apply the First Law using the chemistry sign convention for heat and work.
  • Distinguish state functions from path functions in thermodynamic processes.
  • Relate internal energy and enthalpy changes to constant-volume and constant-pressure heat.
  • Interpret the roles of PV work and ideal-gas relations in energy changes.
  • Identify how heat capacities and reaction enthalpy describe thermodynamic changes.
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