Kinetic theory of gases
The model explaining macroscopic gas behavior (temperature, pressure) in terms of the motion and collisions of individual atoms or molecules.
Kinetic Theory
Temperature
A measure of the average translational kinetic energy of the particles in a substance. Must be measured in kelvin for gas-law calculations.
Kinetic Theory
Pressure
Force per unit area exerted on a surface, caused at the molecular level by countless particle collisions with the container walls.
Kinetic Theory
Ideal gas
A theoretical gas whose particles have negligible volume, exert no forces on each other except during collisions, and collide elastically. Real gases approximate this at low pressure and high temperature.
Ideal Gas Law
Ideal gas law
PV = nRT = Nk_BT — relates pressure, volume, amount of gas (moles or molecules), and temperature for an ideal gas.
Ideal Gas Law
Boltzmann's constant (k_B)
A fundamental constant relating the energy of individual particles to temperature; used in the molecular form of the ideal gas law.
Ideal Gas Law
Thermal equilibrium
The condition reached when two objects in contact have the same temperature and no net heat flows between them.
Heat Transfer
Zeroth law of thermodynamics
If A is in thermal equilibrium with B, and B with C, then A is in thermal equilibrium with C. This makes temperature a consistent, transitive property.
Heat Transfer
Conduction
Heat transfer through direct contact, as faster-moving particles collide with and transfer energy to slower ones.
Heat Transfer
Convection
Heat transfer via the bulk movement of a fluid (liquid or gas), carrying thermal energy from one place to another.
Heat Transfer
Radiation (thermal)
Heat transfer via electromagnetic waves; the only mechanism of heat transfer that requires no medium (e.g., sunlight warming the Earth through the vacuum of space).
Heat Transfer
Internal energy (U)
The total kinetic (and for real gases, potential) energy of all the particles in a system. For an ideal gas, it depends only on temperature.
First Law
First law of thermodynamics
ΔU = Q − W. The change in internal energy of a system equals heat added to the system minus work done by the system — a statement of energy conservation.
First Law
PV diagram
A graph of pressure (y-axis) versus volume (x-axis) used to track a gas through a thermodynamic process. The area under the curve equals work.
First Law
Isothermal process
A process occurring at constant temperature; on a PV diagram, follows a curve where PV is constant.
First Law
Isobaric process
A process occurring at constant pressure; appears as a horizontal line on a PV diagram. Work = PΔV.
First Law
Isochoric process
A process occurring at constant volume; appears as a vertical line on a PV diagram. No work is done (ΔV = 0).
First Law
Adiabatic process
A process in which no heat is exchanged with the surroundings (Q = 0); any internal energy change comes entirely from work.
First Law
Specific heat capacity
The amount of heat required to raise the temperature of one unit mass of a substance by one degree. Used in Q = mcΔT.
Heat & Calorimetry
Calorimetry
The technique of measuring heat transfer between substances by tracking temperature changes until thermal equilibrium is reached.
Heat & Calorimetry
Thermal conductivity
A material property describing how readily heat conducts through it; metals have high thermal conductivity, insulators have low thermal conductivity.
Heat & Calorimetry
Entropy
A measure of the disorder, or number of possible microscopic arrangements, of a system. Higher entropy corresponds to more disorder.
Entropy
Second law of thermodynamics
The total entropy of an isolated system never decreases — it increases for real (irreversible) processes and stays constant for ideal reversible ones.
Entropy
Heat engine
A device that converts thermal energy into mechanical work by moving heat from a hot reservoir to a cold one, represented as a clockwise loop on a PV diagram.
Entropy
Engine efficiency
The ratio of net work output to heat input (W_net / Q_in) for a heat engine. Always less than 100% because of the second law.
Entropy