Specific Heat Capacity

*️⃣ Specific heat capacity is the amount of heat absorbed by a substance per unit mass per unit temperature change.

$$c = \dfrac{Q}{m \Delta T}$$

where $c$ is the specific heat capacity of the substance (in J kg-1 $\degree$C-1),
$Q$ is the heat transfer or energy absorbed (in J),
$m$ is the mass of the substance (in kg), and
$\Delta T$ is the change in temperature (in $\degree$C or K)

It is an intrinsic property of the material and is independent of the amount of substance. Different substances have different specific heat capacities, which reflect how much energy is required to change their temperatures. The following is a table of some of the commonly known specific heat capacities.

Substance Specific Heat Capacity (J kg-1°C-1)
Water 4186
Ice 2100
Aluminum 897
Iron 450
Copper 385
Lead 128
Air 1005
Ethanol 2440

To calculate the amount of thermal transfer $Q$ needed to raise a substance of specific heat capacity $c$ and mass $m$ by a temperature change of $\Delta T$, we can use this formula: $$Q = mc\Delta T$$

Heat capacity, $C$, is the amount of energy needed to raise the temperature of an object by 1 $\degree$C or 1 K. Unlike specific heat capacity, heat capacity depends on the mass of the object. For an object of mass $m$ made of a substance with specific heat capacity $c$, its heat capacity is given by $$C = mc$$

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