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Thermal Physics

Temperature

Thermal equilibrium describes the equal transfer of thermal energy in and out of a system.

The absolute scale of temperature is Kelvin. You convert from Celsius to Kelvin by adding 273 to the Celsius number. This is because -273 Celsius (0K) is absolute zero, which is the theoretical lowest possible temperature at which particles have an internal energy of 0J, causing zero movement and zero pressure.

Solids, Liquids, and Gases

Property Solid Liquid Gas
Shape Definite shape. Indefinite shape (depends on container). Indefinite shape (depends on container).
Volume Definite volume. Definite volume. Indefinite volume (depends on container).
Particle arrangement Particles are fixed close together in a regular lattice. (Edge case exceptions like glass, where they are arranged in an irregular lattice.) Particles are close together, but not in a regular lattice - rather, in a random arrangement. Particles are very far apart in a random arrangement.
Particle movement Particles vibrate in place. Particles are constantly moving close to each other, flowing over other particles. Particles are constantly moving in straight lines in directions influenced by collisions with other particles.
Intermolecular forces Strong. Moderate. Weak, often negligible.
Compressibility Almost incompressible. Almost incompressible. Highly compressible.
Fluidity Cannot flow. Flows easily. Flows easily.
Density Generally high. Generally moderate. Generally very low.

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Internal energy is defined as the sum of the random distribution of kinetic and potential energies of all molecules in a system.

Potential energy is defined as the energy stored within a system due to the relative positions and intermolecular forces between molecules in a system.

When the temperature around a material increases, there is a positive temperature gradient, so thermal energy from the surroundings transfers to the kinetic energy stores of its particles, increasing its internal energy. This enables it to change state from solid to liquid (melting) to gas (evaporating).

Conversely, reduction of temperature causes a negative temperature gradient, so the opposite happens, causing a change in state from gas to liquid (condensing) to solid (freezing).

During a change in state, the temperature of the material remains constant, so kinetic energy doesn't change. However, due to the increased spacing between particles, potential energy becomes less negative, so internal energy increases regardless.

Specific Heat Capacity

Specific heat capacity is the amount of energy to increase the temperature of 1 unit mass of a substance by 1 unit of temperature. It is calculated with:

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... where delta Q is the change in energy, m is the mass, c is the specific heat capacity, and delta T is the change in temperature.

Specific Latent Heat

Specific latent heat is the amount of energy required to change the state of 1 unit mass of a substance. It is calculated with:

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... where Q is energy, m is mass, and L is specific latent heat.

Brownian Motion

Brownian motion describes the observed random motion of particles suspended in a fluid due to the bombardment of smaller particles.

Amount of Substance

The mole is a unit used to measure the amount of a substance. Each mole of a substance contains 6.02e+23 atoms. From this, mass and mass/mol can be calculated using the formula:

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... where n is amount of substance, m is mass, and Mr is mass per unit amount.

The Kinetic Theory

Investigating Gases

The Ideal Gas Equation

The Boltzmann Constant