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General Overview
- Thermal expansion is the tendency of materials to expand or contract with changes in temperature.
- It is a crucial factor in the design of various structures and devices to prevent damage or failure.
- The phenomenon is applied in engineering, construction, and daily life to ensure safety and functionality.
Applications in Railway Tracks
- Railway tracks are made of steel, which expands during hot weather and contracts during
General Overview
- Thermal expansion refers to the increase in the size (length, area, or volume) of a material due to an increase in temperature.
- The extent of expansion depends on the material properties and the degree of temperature change.
- The coefficient of expansion is a measure of how much a material expands per degree change in temperature.
Coefficient of Linear Expansion
- The coefficient of linear expansion (α) describes the change
General Concepts of Thermal Expansion
- Thermal expansion is the increase in the size (length, area, or volume) of a substance when its temperature is increased.
- It occurs due to an increase in the kinetic energy of particles, which increases the separation between them.
- Thermal expansion is observed in solids, liquids, and gases.
- The degree of expansion depends on the material properties and the amount of temperature change
Heat Engines
- A heat engine is a device that converts heat energy into mechanical work.
- It operates between a hot reservoir and a cold reservoir.
- The working principle is based on the First and Second Laws of Thermodynamics.
- The efficiency of a heat engine is given by η = W/Q₁, where:
- W is the work output.
- Q₁ is the heat absorbed from the hot reservoir.
Entropy
- Entropy is a measure of the disorder or randomness of a system.
- The symbol for entropy is S, and its SI unit is joules per kelvin (J/K).
- It quantifies the unavailability of a system's energy to perform useful work.
- The Second Law of Thermodynamics states that entropy always increases in a spontaneous process.
- ΔS = Q/T, where:
- ΔS is the change in entropy.
- Q is the heat exchanged.
Zeroth Law of Thermodynamics
- The Zeroth Law of Thermodynamics defines the concept of thermal equilibrium.
- If two systems are each in thermal equilibrium with a third system, they are in thermal equilibrium with each other.
- This law provides the foundation for the definition of temperature.
- Thermometers work based on the Zeroth Law.
First Law of Thermodynamics
- The First Law of Thermodynamics is a statement of the conservat
- Thermal conductivity is a material's ability to conduct heat.
- It is denoted by the symbol k or λ.
- The SI unit of thermal conductivity is watt per meter per kelvin (W/m·K).
- Fourier's Law describes heat conduction: Q = -kA(dT/dx), where:
- Q is the heat transfer rate.
- k is the thermal conductivity.
- A is the cross-sectional area.
- dT/dx is the temperature gradient.
- Heat transfer is the movement of thermal energy from a region of higher temperature to a region of lower temperature.
- There are three primary modes of heat transfer: conduction, convection, and radiation.
Conduction
- Conduction is the transfer of heat through a material without the movement of the material itself.
- It occurs mainly in solids, where particles are tightly packed.
- The rate of conduction is described by Fourier’s Law: Q = -kA(dT/dx)
- Heat capacity is the amount of heat energy required to raise the temperature of a body by 1 degree Celsius or Kelvin.
- The SI unit of heat capacity is joule per kelvin (J/K).
- Specific heat capacity is the amount of heat energy required to raise the temperature of 1 kilogram of a substance by 1 degree Celsius or Kelvin.
- The formula for specific heat capacity is c = Q / (m × ΔT), where:
- Q is the heat energy supplied.
- m is the mass of the substance.
- Temperature is a measure of the average kinetic energy of the particles in a substance.
- Heat is the transfer of thermal energy between systems due to a temperature difference.
- There are three primary temperature scales used in thermodynamics: Celsius, Fahrenheit, and Kelvin.
- The Celsius scale (°C) is widely used in most parts of the world and in scientific work.
- In the Celsius scale, the freezing point of water is 0°C an