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Zorluk: OrtaHeat Capacity and Specific Heat Capacity

If two solid blocks are manufactured from the exact same uniform metal but one has twice the mass of the other, the block with the larger mass will have a higher heat capacity, even though both blocks have the same specific heat capacity.

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The statement is true because specific heat capacity is an intensive property depending solely on the material, while heat capacity is an extensive property proportional to mass.
Specific heat capacity (cc) is a characteristic property of a substance (J kg−1 K−1\text{J kg}^{-1}\text{ K}^{-1}) and is independent of sample size. Heat capacity (C=mcC = mc) measures total thermal energy required per unit temperature rise (J K−1\text{J K}^{-1}) and scales directly with mass. Therefore, a larger mass of the same metal has a higher heat capacity while maintaining an identical specific heat capacity.

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1
Define specific heat capacity and identify its nature.
Specific heat capacity (c=QmΔTc = \frac{Q}{m\Delta T}) is an intensive property, meaning it remains constant for any sample of the same material regardless of mass.
Intensive properties do not depend on the quantity of matter present.
2
Define heat capacity and relate it to mass and specific heat capacity.
Heat capacity (C=QΔT=mcC = \frac{Q}{\Delta T} = mc) is an extensive property and is directly proportional to mass (mm).
Extensive properties scale with the size or mass of the system.
3
Compare the two blocks.
Since both blocks are made of the same metal, cc is identical for both. However, because C=mcC = mc, the block with greater mass has a higher heat capacity.
Doubling mass doubles total heat capacity while leaving specific heat capacity unchanged.

Anahtar Kavram

Distinction between Intensive (Specific Heat Capacity) and Extensive (Heat Capacity) Thermal Properties
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Konular

Heat Capacity and Specific Heat Capacity

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