Heat capacity (Cp) is an extensive property but specific heat (c) is an intensive property. What will be the relation between Cp and c for 1 mole of water?

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Holden Flowers · Accepted Answer

Heat capacity (Cp) of a substance is the amount of heat energy required in order to raise its temperature by       1    ∘    C.  C  p  =      q                  Δ            T       ………….(1)The specific heat is the amount of heat required to raise the temperature of 1 g of substance by       1    ∘    C.  C  =      q                  Δ            T      ×      m       ………….(2)1 mole of water =18 gTherefore, m=18 gOn substituting value of m in equation (2)  c  =      q                  Δ            T      ×      18      Now, relating this equation with equation(1),  c  =            C      p        18  Hence,   C  p  =  c  ×  18 (for 1 mol of water)Heat capacity   =  18  × specific heat.

Heat capacity (Cp) is an extensive property but specific heat (c) is an intensive property. What will be the relation between Cp and c for 1 mole of water?

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