Thermochemistry & ThermodynamicsEnergy and HeatContent level: Core 18 min

Energy, Heat and the First Law

What you'll be able to do: Define the system and surroundings for a chemical change and assign the correct sign to heat transferred.

Introduction

Almost every thermochemistry mistake is a sign mistake, and almost every sign mistake comes from not deciding what the system is. This lesson sets up that vocabulary once so the calculations later stay clean.

These are recommended, not required. You can start this lesson at any time.

Learning objectives

  • Identify the system and the surroundings in a chemical experiment
  • Apply the sign convention for heat to exothermic and endothermic changes
  • Distinguish heat, temperature and thermal energy
  • State the first law of thermodynamics and use it qualitatively

Lesson

System and surroundings

The system is the part of the universe you are studying, normally the chemicals reacting. The surroundings are everything else that can exchange energy with it: the solvent, the container, the air. Deciding this first is what fixes every sign that follows.

In a coffee-cup experiment the dissolved reaction is the system and the water is the surroundings. The water is not part of the system even though it is in the same cup.

The first law

Energy cannot be created or destroyed, only moved or converted. For a chemical change this means the energy released by breaking and forming bonds has to appear somewhere else, usually as warmer water. Written out, the internal energy change of the system equals the heat added plus the work done on it.

DE = q + w

Sign conventions

Signs are written from the point of view of the system. Heat entering the system is positive, so an endothermic change has q > 0 and the surroundings cool. Heat leaving the system is negative, so an exothermic change has q < 0 and the surroundings warm.

If the thermometer in the water goes up, the reaction released heat, so the reaction q is negative even though the measured temperature change is positive.

Heat is not temperature

Temperature is an intensive property, the average kinetic energy of the particles. Heat is an amount of energy transferred. A bathtub of warm water at 40 C holds far more thermal energy than a cup at 90 C even though the cup is hotter.

Where the energy comes from

Breaking bonds always costs energy and forming bonds always releases it. A reaction is exothermic when the bonds formed in the products are collectively stronger than the bonds broken in the reactants. That single idea will return in the bond enthalpy lesson.

Key ideas

Definition
System

The chemicals or process under study; everything else is the surroundings.

Definition
Heat (q)

Energy transferred because of a temperature difference, measured in joules.

Rule
Sign convention

q is positive when heat flows into the system and negative when heat flows out.

Key concept
Exothermic

The system releases heat, q(system) < 0, and the surroundings get warmer.

Key concept
Endothermic

The system absorbs heat, q(system) > 0, and the surroundings get cooler.

Equation
First law of thermodynamics

DE = q + w

  • DE = change in internal energy of the system, in J
  • q = heat added to the system, in J
  • w = work done on the system, in J
Equation
Energy conservation in a calorimeter

q(system) = -q(surroundings)

  • q(surroundings) = heat absorbed by the water and calorimeter

Worked examples

Worked example 1

A solid dissolves in water and the water temperature falls from 22.0 C to 18.4 C. Is dissolving endothermic or exothermic, and what is the sign of q for the dissolving process?

Try it first: Decide which part is the system before looking at the thermometer.

    0 of 4 steps revealed.

    Worked example 2

    Burning 1.00 g of methane in a calorimeter raises the water temperature. State the signs of q(reaction) and q(water), and explain why they differ.

      0 of 3 steps revealed.

      Common mistakes

      Quoting the reaction enthalpy as positive because the temperature went up.

      Why it's wrong: A rising thermometer describes the surroundings, not the system.

      Check instead: Water warms means the reaction released heat, so the reaction q is negative.

      Treating heat and temperature as the same quantity.

      Why it's wrong: Temperature is intensive; heat depends on how much material there is.

      Check instead: Ask whether the quantity would change if you doubled the sample.

      Including the water as part of the system in a coffee-cup experiment.

      Why it's wrong: The water is the measuring device, it is what absorbs the released heat.

      Check instead: System equals the reacting species only.

      Saying an endothermic reaction feels warm.

      Why it's wrong: It draws heat out of its surroundings, including your hand.

      Check instead: Endothermic feels cold to the touch.

      Practice this skill

      No practice questions are available for this topic yet. You can still practice the whole unit.

      What you should now know

      Energy is conserved: whatever the system loses, the surroundings gain. The system is the reacting chemicals, the surroundings are everything else, usually the water and the calorimeter. Heat flowing into the system is positive, heat flowing out is negative. An exothermic reaction releases heat, so q(system) is negative while the surrounding water warms up. Endothermic is the reverse. Temperature measures average kinetic energy; heat is energy in transit because of a temperature difference. The two are not the same thing.

      • Name the system before assigning any sign
      • Heat into the system is positive, heat out is negative
      • Exothermic warms the surroundings, endothermic cools them
      • Heat is transferred energy; temperature is average kinetic energy
      • Energy released by the system is exactly the energy gained by the surroundings

      Sources and further reading

      • Chemistry 2e, Section 5.1: Energy Basics
        Paul Flowers, Klaus Theopold, Richard Langley, William R. Robinson · OpenStax, Rice University · Chapter 5.1
        View source

        Chemistry 2e, OpenStax, Rice University, licensed CC BY 4.0. License