Thermal Properties of Materials: Heat Capacity & Thermal Stress

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Jasmine Grover

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Thermal properties of materials refer to how a material behaves under different temperature conditions. The matter is anything that has mass and takes up space. It is composed of atoms, which are the basic units of matter. Matter exists in different states - solid, liquid, and gas - depending on the arrangement of its atoms and the strength of the forces between them. 

  • The properties of matter include physical properties like density, volume, and mass, and chemical properties like reactivity and flammability. 
  • Thermal conductivity is the ability of a material to conduct heat.
  • Specific heat capacity is the amount of heat required to raise the temperature of a unit mass of a material by one degree Celsius. 
  • Thermal expansion is the tendency of a material to expand or contract when exposed to changes in temperature.

Key Terms: Thermal Properties of Materials, Matter, Atoms, Thermal Conductivity, Heat Capacity, Temperature


What are the thermal properties of materials?

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Thermal properties of materials are the properties that describe how materials respond to changes in temperature. These properties are important for various applications, including building construction, thermal management of electronic devices, and material processing.

Some of the most important thermal properties of materials include:

Thermal conductivity

  • Thermal conductivity is a measure of how well a material conducts heat. 
  • Materials with high thermal conductivity can transfer heat quickly, while those with low thermal conductivity transfer heat more slowly.

Specific heat capacity

  • Specific heat capacity measures how much heat energy is required to raise the temperature of a given amount of material by a certain amount. 
  • Materials with high specific heat capacity require more energy to raise their temperature, while those with low specific heat capacity require less energy.

Thermal expansion

  • Thermal expansion is the tendency of a material to expand or contract in response to changes in temperature. 
  • Materials with high thermal expansion coefficients expand significantly when heated, while those with low coefficients expand less.

Melting and boiling point

  • The melting point is the temperature at which a solid material melts and becomes a liquid, while the boiling point is the temperature at which a liquid material boils and becomes a gas. 
  • These properties are important for material processing and manufacturing.

Heat capacity

  • Heat capacity is the amount of heat energy required to raise the temperature of a material by one degree Celsius. 
  • Materials with high heat capacity can absorb more heat energy before their temperature increases significantly.

What is Heat Capacity?

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Heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree Celsius (or one Kelvin).

  • Heat capacity is often denoted by the symbol "C" and is measured in units of joules per degree Celsius (J/°C) or joules per Kelvin (J/K).
  • The heat capacity of a substance depends on its mass and the specific heat capacity of the material, which is the amount of energy required to raise the temperature of one gram of the material by one degree Celsius. 
  • The specific heat capacity of a substance depends on its chemical composition, structure, and phase.
  • The heat capacity of a substance is important for understanding how it will respond to changes in temperature. 

Substances with high heat capacity can absorb or release a large amount of heat energy without a significant change in temperature, while substances with low heat capacity will experience a larger change in temperature for the same amount of heat energy added or removed.

Heat Capacity Formula

The formula for heat capacity is represented as follows –

C = Q / ΔT

  • where C is the heat capacity of the substance, 
  • Q is the amount of heat energy added or removed from the substance 
  • ΔT is the change in temperature of the substance.

The heat capacity is typically measured in units of joules per degree Celsius (J/°C) or joules per Kelvin (J/K), while the heat energy and temperature change are measured in joules (J) and degrees Celsius (°C) or Kelvin (K), respectively.

The formula can also be written as:

C = m * c

  • where m is the mass of the substance
  • c is the specific heat capacity of the material, which is the amount of energy required to raise the temperature of one gram of the material by one degree Celsius.

This formula is often used to calculate the heat energy required to raise the temperature of a given amount of material by a certain amount or to calculate the change in temperature resulting from the addition or removal of a certain amount of heat energy.

Here is a table of the specific heat capacity of some common materials at 25°C:

Material Specific Heat Capacity (kJ/kg K)
Water 4.18
Aluminum 0.9
Copper 0.39
Iron 0.45
Lead 0.13
Glass 0.84
Concrete 0.88
Air 1.005
Mercury 0.14
Gold 0.129

The specific heat capacity of a material can vary depending on its temperature and other factors, such as its phase (solid, liquid, or gas).


Major Components of Thermal Properties

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The thermal properties of a material describe its ability to conduct, store, and transfer heat energy. The major components of thermal properties are as follows - 

Thermal Expansion

Thermal expansion is the tendency of a material to expand or contract in response to changes in temperature. 

  • When a material is heated, its atoms or molecules vibrate more rapidly, causing them to take up more space and resulting in an increase in volume. 
  • Conversely, when a material is cooled, its atoms or molecules move more slowly, causing them to take up less space and resulting in a decrease in volume. 
  • The degree of thermal expansion is determined by the material's coefficient of thermal expansion (CTE), which is the amount by which the material's dimensions change per unit change in temperature.

Thermal Conductivity

Thermal conductivity is a measure of a material's ability to conduct heat. 

  • Materials with high thermal conductivity can transfer heat quickly, while those with low thermal conductivity transfer heat more slowly. 
  • Thermal conductivity depends on factors such as the material's composition, structure, and temperature.

Thermal Stress

Thermal stress is the stress that results from changes in temperature in a material. 

  • When a material is heated or cooled, its dimensions change and this can cause internal stresses to develop within the material. 
  • These stresses can cause the material to deform, crack, or even fracture if they exceed the material's strength. 
  • Understanding thermal stress is important for designing materials and structures that can withstand the stresses caused by temperature changes.

Things to Remember

  • Thermal properties of materials refer to their behaviour when subjected to changes in temperature.
  • These properties include thermal expansion, thermal conductivity, and specific heat capacity.
  • Thermal expansion is the tendency of a material to expand or contract when heated or cooled, while thermal conductivity is the measure of its ability to conduct heat.
  • Specific heat capacity is the amount of heat energy required to raise the temperature of a given amount of material by one degree Celsius or Kelvin.
  • Different materials have different thermal properties, and the selection of materials for a particular application depends on their ability to meet the specific thermal requirements of that application.
  • Specific Heat Capacity determines how much heat energy a material can store and how much heat it will release when its temperature changes.

Sample Questions

Ques. What are the thermal properties of materials and why are they important? (5 marks)

Ans. Thermal properties of materials refer to their ability to conduct, store, and exchange heat energy when subjected to temperature changes. These properties include thermal expansion, thermal conductivity, and specific heat capacity. 

  • The thermal properties of materials are important for designing materials and structures that can withstand temperature changes and thermal stresses. 
  • For example, materials with high thermal conductivity may be preferred for applications such as heat sinks or radiators, while materials with low thermal expansion coefficients may be preferred for applications that require dimensional stability over a wide range of temperatures. 
  • Similarly, materials with high specific heat capacity may be preferred for applications where thermal energy storage is important, such as in heating and cooling systems.

Ques. How does thermal expansion affect the behaviour of materials when subjected to temperature changes? (5 marks)

Ans. Thermal expansion is the tendency of a material to expand or contract when heated or cooled. When a material is heated, its molecules move faster, causing the material to expand. Conversely, when a material is cooled, its molecules slow down, causing the material to contract. This expansion and contraction can lead to changes in the dimensions and shape of the material, which can have significant effects on its behavior when subjected to temperature changes.

  • In some cases, thermal expansion can be desirable, such as when it is used to make temperature-sensitive switches or thermostats. 
  • However, in other cases, thermal expansion can cause problems, such as in pipelines, where it can cause the pipes to buckle or leak. 
  • To mitigate the effects of thermal expansion, engineers and designers may use materials with low thermal expansion coefficients or design structures with expansion joints that allow for movement without causing damage.

Ques. What is thermal conductivity and how does it vary between different materials? (5 marks)

Ans. Thermal conductivity is the measure of a material's ability to conduct heat. It describes how quickly heat energy can be transferred through a material. Materials with high thermal conductivity can transfer heat energy quickly, while materials with low thermal conductivity transfer heat energy more slowly.

  • The thermal conductivity of a material depends on various factors such as its density, specific heat capacity, and atomic/molecular structure. 
  • Generally, metals have high thermal conductivity due to the presence of free electrons that can easily transfer heat energy. 
  • Non-metallic materials such as ceramics, on the other hand, tend to have lower thermal conductivity due to the absence of free electrons.

The thermal conductivity of a material can also vary with temperature, pressure, and other factors. For example, the thermal conductivity of some materials, such as metals, tends to decrease with increasing temperature due to an increase in phonon scattering, while the thermal conductivity of some non-metallic materials may increase with temperature due to the enhanced contribution of higher energy phonons.

Ques. What is specific heat capacity and how is it measured? (5 marks)

Ans. Specific heat capacity is the amount of heat energy required to raise the temperature of one unit of mass of a material by one degree Celsius (or one Kelvin). It is a measure of the material's ability to store thermal energy. Specific heat capacity is typically expressed in units of J/(kg·K) or J/(kg·°C).

  • The specific heat capacity of a material can be measured using a calorimeter.
  • A Calorimeter is a device that is used to measure the amount of heat absorbed or released during a chemical or physical process. 
  • To measure the specific heat capacity of a material, a sample of the material with a known mass is heated to a specific temperature and then placed in a calorimeter containing a known amount of water. 
  • The temperature of the water is then measured over time, and the change in temperature is used to calculate the amount of heat energy absorbed by the water. 
  • By knowing the mass of the material and the amount of heat energy absorbed, the specific heat capacity of the material can be calculated using the formula:

Specific heat capacity = (heat energy absorbed)/(mass of material x change in temperature)

Ques. What are some common materials that exhibit high thermal conductivity, and what applications are they used in? (5 marks)

Ans. Some common materials that exhibit high thermal conductivity include metals such as copper, aluminum, silver, and gold. These metals have high thermal conductivity due to the presence of free electrons that can easily transfer heat energy. Other materials with high thermal conductivity include diamond, which has a very high thermal conductivity due to its rigid crystal lattice structure.

  • These materials are commonly used in a variety of applications that require efficient heat transfer. 
  • For example, copper and aluminum are often used in heat sinks for electronics, where they help to dissipate heat away from the sensitive electronic components. 
  • Silver and gold are used in thermal interface materials, which are used to improve the transfer of heat between two surfaces, such as between a microchip and a heat sink. 
  • Diamond is used in applications that require high thermal conductivity, such as in cutting tools, heat spreaders, and electronic substrates.

Ques. How can thermal stresses affect the behavior of materials when subjected to temperature changes? (5 marks)

Ans. Thermal stresses can have a significant impact on the behavior of materials when they are subjected to temperature changes. When a material is heated or cooled, it expands or contracts, respectively. If the temperature change is sudden or significant, this expansion or contraction can create stresses within the material. These stresses can cause deformation or even fracture of the material if they exceed the material's strength.

  • When a material is heated, it expands, and if it is constrained from expanding, it will experience compressive stress. 
  • Conversely, when it is cooled, it contracts, and if it is constrained from contracting, it will experience tensile stress. 
  • These thermal stresses can be additive to other mechanical stresses in the material, which can lead to a significant increase in stress levels.

To prevent the negative effects of thermal stresses on materials, it is important to design materials with appropriate coefficients of thermal expansion and to use appropriate manufacturing and assembly techniques. 

Ques. How do the thermal properties of materials vary with temperature and pressure? (5 marks)

Ans. The thermal properties of materials can vary significantly with changes in temperature and pressure. 

  • Thermal conductivity is a measure of how well a material can conduct heat. 
  • In general, the thermal conductivity of most materials decreases with increasing temperature and increases with increasing pressure. 
  • This is because, at higher temperatures, the phonons (vibrations that transport heat) in the material are more strongly scattered, reducing the thermal conductivity. 
  • At higher pressures, the atoms in the material are closer together, which increases the number of phonons and enhances the thermal conductivity.
  • Specific heat capacity is the amount of heat required to raise the temperature of a unit mass of a material by one degree Celsius. 
  • Specific heat capacity generally decreases with increasing temperature and pressure. 
  • This is because at higher temperatures and pressures, the atomic vibrations in the material become more energetic and the atoms are more tightly packed, making it more difficult to add energy to the system and therefore resulting in a lower specific heat capacity.

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