Topic 2_Ch 4_"Energy"

Topic 2: Energy and Radiation Balances

Chapter 4: Energy

  • Introduction

    • Energy: The capacity to do work

      • Perceived as light

      • Felt as heat

      • Experienced through movement

    • Law of Conservation of Energy: Energy can neither be created nor destroyed; it can transform from one form to another or transfer between objects.

Energy Transfer Methods

  • Energy Transfer Types:

    1. As Heat: Flow of energy from warmer to colder objects.

      • Conduction: Transfer of energy between molecules in contact.

      • Convection: Transfer of energy via vertical fluid motion.

      • Radiation: Transfer via electromagnetic waves.

    2. As Work: Involves mechanical energy transfer, such as adiabatic heating/cooling in the atmosphere through expansion or contraction.

Page 2: Heat

  • Definition of Heat: Energy transferred due to a temperature difference.

  • Effects of Heat:

    • Increases molecular movement leading to higher kinetic energy.

  • Temperature: Measures the average speed of molecules.

Internal Energy

  • Total Energy: Comprises both thermal and potential energy.

    • Thermal Energy: Increases kinetic energy leading to temperature changes (sensible heat transfers).

    • Potential Energy: Alters molecular attractive forces, resulting in phase changes (latent heat transfers).

Sensible Heat

  • Definition: Heat transfers resulting in temperature changes.

    • Objects feel warmer or colder.

    • Different substances warm differently under the same heating conditions.

  • Heat Flow Calculation:

    • Q = heat flow in joules, m = mass in kg, ΔT = temperature change in Kelvin or Celsius, c = specific heat.

Page 3: Sensible Heat and Latent Heat

Specific Heat

  • Defined as the amount of energy needed to raise the temperature of a unit mass by one degree K.

Latent Heat

  • Definition: Heat absorbed or released during phase changes without temperature change (energy is “hidden”).

  • Processes that Absorb Latent Heat:

    • Melting, Evaporation, Sublimation.

  • Processes that Release Latent Heat:

    • Freezing, Condensation, Deposition.

Phase Changes of Water

  • Visual Aid: Figure 4.2 shows phase changes of water.

Page 4: Gases and Work

  • Work Definition: Energy transfer through mechanical means.

    • Example: A person pushing a shopping cart.

  • Gas Expansion:

    • Expanding gas does work on surroundings leading to decreased internal energy.

  • Gas Compression:

    • Requires work on the gas, increasing internal energy.

  • Work Calculation:

    • W = F Δx, W = PA Δx, W = P ΔV.

Page 5: The First Law of Thermodynamics

  • Temperature Increase Methods:

    1. Adding heat.

    2. Doing work on the gas.

  • Internal Energy Relation:

    • Q = heat transferred, U = change in internal energy, W = work done.

    • Energy relation in terms of internal energy: m c ΔT (heat) and P ΔV (work).

  • Understanding internal energy: All heat transferred must result in a temperature change, work, or both.

Constant Volume Processes

  • Air confined at constant volume: All added heat leads to temperature rise.

  • Specific Heat Constant for Volume Process (cv): 717 J ∙ kg–1 ∙ K–1.

Page 6: Constant Pressure & Adiabatic Processes

Constant Pressure Processes

  • Unconfined air (constant pressure): Some heat contributes to expansion, increasing both temperature and volume.

  • Specific Heat Constant for Pressure Process (cp): 1004 J ∙ kg–1 ∙ K–1.

Adiabatic Processes

  • Definition: Temperature change without heat transfer, driven by work.

  • Examples: Air rising (cooling due to expansion) or descending (heating due to compression).

  • Adiabatic Process Equation:

    • cp ΔT represents internal energy change, ΔP/ρ represents work from gas expansion/compression.

Page 7: Atmospheric Adiabatic Processes

  • Behavior of Air:

    • Pressure decreases with height; air expands while rising or contracts when descending.

    • Changes in pressure cause adiabatic heating/cooling.

  • Diabatic Processes:

    • Heat transfer processes include conduction, convection, radiation, and phase changes.

    • Real-world processes often involve a combination of both adiabatic and diabatic transfers.

Page 8: Heat Transfers

Conduction

  • Definition: Heat transfers from one molecule to another directly.

    • Faster molecules share energy with slower ones.

    • Conductivity generally highest in solids.

  • Boundary Layer:

    • Laminar boundary layer of air in contact with the ground warms by conduction and transfers heat upward through convection.

    • Surface heats ground by conduction during the day, reversing at night.

Convection

  • Definition: Heat transfer through liquid and gas movement (fluids).

  • Types of Convection:

    1. Thermal Convection (free convection): Driven by density differences; warm air rises due to lower density.

    2. Mechanical Convection (forced convection): Driven by mechanical forces such as wind.

Radiation

  • Definition: Energy travels as electromagnetic waves (light, microwaves, radio).

  • Emission and Absorption:

    • Hotter substances emit more radiation than cooler substances.

Page 9: Heat Transfers at Earth's Surface

  • Daytime Heat Transfer: Solar radiation warms the surface, heat is transferred upwards into the atmosphere and downwards into the ground.

  • Night-time Heat Transfer: Emission of radiation cools the surface. Heat is transferred down from the atmosphere to the surface and upwards from the ground.

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