Daley_Student_Abbrev_Unit_I_2025_Chem152

Thermodynamics I: Energy

Chapter Overview

  • Focus on the system, surroundings, and the universe.

Kinetic and Potential Energy

  • Kinetic Energy: Energy of motion or energy that is being transferred.

    • Thermal Energy: A type of kinetic energy associated with temperature.

  • Potential Energy: Energy stored in an object or energy associated with an object's composition and position.

    • Chemical Energy: A type of potential energy due to atomic structure, attachments, and positions relative to each other.

  • Energy can only be transferred, not created or destroyed.

First Law of Thermodynamics

  • The energy of the universe is constant: ∆E_universe = 0 Joules.

  • First Law of Thermodynamics: Law of Conservation of Energy states that total energy is unchanging; it can only change forms (absorbed or released) but cannot be created or destroyed.

  • The energy change of a system (∆E_system) plus the change of its surroundings (∆E_surroundings) must equal 0 J.

  • Equation: ∆E_universe = ∆E_system + ∆E_surroundings

    • Energy release from the system is equal to energy absorption by surroundings, and vice versa.

Understanding Thermodynamic Systems

  • System: Matter and associated energy under study (reaction mixture).

  • Surroundings: Everything else (flask, room, universe).

  • The energy can flow between the system and surroundings:

    • System drops in energy = Surroundings gain energy.

    • System gains energy = Surroundings lose energy.

Energy Terms and Signs

  • Magnitude: Proportional to the size of the energy value; larger values indicate more energy.

  • Absorption or Emission: Indicated by the signs:

    • Positive (+) indicates energy is absorbed into the system.

    • Negative (–) indicates energy is emitted from the system.

Heat and Work

  • Heat (q): Thermal energy exchanged with surroundings, measured in joules (J).

  • Work (w): Energy used to move an object against a force; depends on force magnitude and distance.

  • Work done on or by the system:

    • w_surroundings = – w_system

State Functions vs. Path Functions

  • State Function: Describes a specific state or change in states, independent of the path taken.

  • Path Function: Dependent on the process taken to move between states.

  • Internal Energy: The sum of the kinetic and potential energies of all particles in a system.

    • Change in internal energy (∆E) is given by ∆E = E_final – E_initial.

Energy Diagrams and Reaction Enthalpy

  • Energy is a state function; heat and work are path functions.

  • Example Reaction: CH4 (g) + 2O2 (g) → CO2 (g) + 2H2O (g)

  • The change in internal energy relates to the energy of the products and reactants.

Quick Summary of Internal Energy

  • Internal energy analogy to a bank account:

    • Withdrawals (energy out) indicated by negative signs.

    • Deposits (energy in) indicated by positive signs.

  • If reactants have higher internal energy than products, ΔE_system is negative (energy flows out).

Gas Expansion and Contraction Work

  • Gas Expansion Work: System does work on surroundings, energy/volume changes cause negative w_system.

  • Gas Contraction Work: Surrounds do work on the system, resulting in positive w_system.

Specific Heat and Heat Transfer

  • Heat transfer from hot to cold materials until thermal equilibrium is reached:

    m_metal × C_s,metal × ΔT_metal = − (m_water × C_s,water × ΔT_water)

  • Relationship defined through calorimetry.

Quantitating Heat and Work

  • Heat (q) related through:

    • q = C × ΔT (where C is heat capacity).

    • Specific heat (C_s) indicates energy needed to raise temp of 1 g substance by 1 °C.

Measuring ΔE

  • ΔE can be determined from q + w where work can equal zero at constant volume.

  • In practice, differences in surrounding temperatures are observed, typically utilizing bomb calorimetry for measurements.

Thermochemical Concepts

  • Enthalpy (H): Sum of internal energy and PV (pressure-volume) product.

  • ΔH of a reaction signifies heat at constant pressure.

  • ΔH can generally replace q in ΔE = q + w.

Heat of Formation Reactions

  • Formation reactions create 1 mole of products from elemental forms at 25°C.

  • Standard heat of formation denoted as ΔH_f°.

Enthalpy Calculation Examples

  • Utilize ΔH values from balanced chemical equations to determine reaction heat changes.

  • Calculate based on stoichiometry of reactions and standardized values for formation heats.

Review of Key Thermochemistry Points

  1. Universe = System + Surroundings

  2. First Law of Thermodynamics: ΔE_universe = 0

  3. ΔE = q + w

  4. Enthalpy Change: ΔH = q_p

  5. Hess's Law: Heat of reaction is fixed and independent of the path.

  6. Adjust enthalpy values to account for balanced equations.

  7. Bond energies can provide insights into enthalpy changes.

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