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Specific Heat Capacity

Specific Heat Capacity

Specific heat capacity is a fundamental concept in thermodynamics that describes how much heat energy a material can absorb. It plays a crucial role in various applications, from industrial processes to everyday activities. In this blog, we'll explore specific heat capacity, how it's calculated, and its relevance for different materials.

1.0What is Specific Heat Capacity?

Specific heat capacity is defined as the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius (or one Kelvin). It reflects a material's ability to store thermal energy. The unit of specific heat capacity is J/g°C (joules per gram per degree Celsius) or J/gK.

2.0Calculating Specific Heat Capacity

To calculate specific heat capacity, we use the formula:

q = m × c × ΔTq  

Where:

  • q is the heat energy (in joules),
  • m is the mass of the substance (in grams),
  • c is the specific heat capacity (J/g°C),
  • ΔT is the temperature change (in °C or K).

By rearranging this formula, we can solve for specific heat capacity:

This allows us to calculate the specific heat capacity of a substance if we know the amount of heat added, the mass, and the temperature change.

3.0Specific Heat Capacity in Gases

Gases tend to have higher specific heat capacities compared to solids due to the movement of their molecules. For instance, the specific heat capacity of gases like air varies depending on whether the process is conducted at constant pressure (Cp) or constant volume (Cv). For example, the specific heat capacity of dry air at constant pressure is around 1.005 J/g°C.

Specific Heat Capacity at Constant Pressure (Cp)

The specific heat capacity of a gas at constant pressure (Cp) is typically higher than at constant volume. This is because, at constant pressure, the gas can expand, doing work on its surroundings and requiring additional energy.

4.0Difference between Heat Capacity and Specific Heat Capacity

Property

Heat Capacity

Specific Heat Capacity

Definition

Total heat required to raise the temperature of an entire object by 1°C or 1 K

Heat required to raise the temperature of 1 gram of a substance by 1°C or 1 K

Depends On

Mass and material of the object

Intrinsic property of the material (independent of mass)

Units

J/°C or J/K

J/g°C or J/gK

Formula

C=q/ΔTC = q / \Delta TC=q/ΔT (q = heat, ΔT = temperature change)

c=q/(m×ΔT)c = q / (m \times \Delta T)c=q/(m×ΔT) (m = mass)

Example

Heat capacity of an entire metal rod

Specific heat capacity of water: 4.18 J/g°C

5.0Units of Specific Heat Capacity

The standard unit for specific heat capacity is joules per gram per degree Celsius (J/g°C) or joules per gram per Kelvin (J/gK). These units reflect the energy required to raise one gram of a substance by one degree Celsius or Kelvin.

Specific heat capacities for different substances:

Substance

Specific Heat Capacity (J/g°C)

Specific Heat Capacity for Water

4.18

Specific Heat Capacity of Copper

0.385

Specific Heat Capacity of Ice

2.1

Specific Heat Capacity of Iron

0.449

Specific Heat Capacity of Lead

0.128

Specific Heat Capacity of Solid

Lower than liquids (varies)

Specific Heat Capacity of Steam

2.0

Frequently Asked Questions

The SI unit of specific heat capacity is Joules per kilogram per degree Celsius (J/kg°C) or Joules per kilogram per Kelvin (J/kg·K).

Yes, the specific heat capacity of a material can change with temperature, especially for gases. For most solids and liquids, however, the change is small and often considered constant within a certain temperature range.

Specific heat capacity refers to the heat capacity per unit mass of a substance. Heat capacity is the total amount of heat required to change the temperature of an object or substance, without consideration of its mass.

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