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the Dulong and Petit law empirical relationship for the product of atomic mass a

ID: 967748 • Letter: T

Question

the Dulong and Petit law empirical relationship for the product of atomic mass and specific heat, (Mm)(Cp) = 25. indicates that the specific heat is inversely proportional to the atomic mass or proportional to the number of moles of particles as with colligative properties. For use of the equation with molecules rather than atoms, the number 25 should be multiplied by the numbers of atoms per molecule.Is the value 4.184joules/g deg.for water consistent with this oversimplified approach? Explain your answer(Note that there is a threshold temperature below which this approach will have significant error).

Explanation / Answer

Mm x Cp = 25

Applying for water, H2O

18 x Cp = 25 x 3

Cp = 75 / 18 = 4.17 which very close to 4.184 J/g. deg.