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Enthalpy and Hess's Law Overview

Aug 6, 2025

Overview

This lecture explains the concept of enthalpy, its role as a state function in chemistry, and introduces Hess's Law for calculating the heat of chemical reactions.

Energy and State Functions

  • Energy is necessary for work, heat, and is present in all chemical bonds.
  • Internal energy can be transferred as heat (q) or work (w), but the split is path dependent.
  • State functions depend only on initial and final states, not the path taken (e.g., energy change).
  • The total energy in a molecule is hard to measure, but changes in energy are measurable.

Introduction to Enthalpy

  • Enthalpy (H) is the internal energy plus the energy needed to displace the environment at constant pressure and volume.
  • We focus on the change in enthalpy (ΔH), not the absolute value.
  • At constant pressure, and assuming only pressure-volume work occurs, ΔH equals the heat gained or lost by the system.
  • Enthalpy is more practical than internal energy for reactions at constant pressure.

Measuring Enthalpy: Calorimetry

  • Calorimetry measures temperature changes in an insulated vessel to determine heat changes (ΔH) during reactions.
  • Scientists have compiled standard enthalpy changes for many compounds, making predictions possible without repeating experiments.

Hess's Law and Standard Enthalpy of Formation

  • Hess’s Law states that the total enthalpy change for a reaction depends only on the initial and final states, not the path taken.
  • Standard state: 25°C and one atmosphere; elements in their most stable form at standard state have enthalpy defined as zero.
  • Standard enthalpy of formation (ΔHf) is the heat change when one mole of a compound forms from its elements in standard states.
  • The enthalpy change for a reaction: ΔH = Σ(np·ΔHf,products) – Σ(nr·ΔHf,reactants).
  • Number of moles must be factored in for each substance in the reaction.

Example: Hand Warmer Reaction

  • Iron powder reacts with oxygen to form Iron(III) Oxide (Feâ‚‚O₃), releasing heat (exothermic).
  • ΔHf for Fe and Oâ‚‚ are zero; ΔHf for Feâ‚‚O₃ = -826 kJ/mol.
  • For 4 moles of Fe, ΔH = -1652 kJ; this heat warms hands in hand warmers.

Key Terms & Definitions

  • State function — Property depending only on initial and final states, not the path (e.g., enthalpy, energy change).
  • Enthalpy (H) — Internal energy plus pressure-volume energy; measures heat at constant pressure.
  • Calorimetry — Technique to measure heat changes during chemical reactions.
  • Hess’s Law — The enthalpy change for a reaction is path-independent, depending only on reactants and products.
  • Standard state — Defined as 25°C and 1 atm for chemicals; most stable form for elements.
  • Standard enthalpy of formation (ΔHf) — Heat change when one mole of a compound forms from its elements at standard state.

Action Items / Next Steps

  • Review calorimetry techniques for measuring enthalpy changes.
  • Practice using Hess’s Law and standard enthalpy tables to calculate reaction heats.
  • Balance chemical equations before performing enthalpy calculations.