The empirical formula of the compound : RbO₂
Dulong and Petit's rule's rule, which says that the molar heat capacity, Cp, of a solid can be expressed as
[tex]\large{\boxed{\bold{Cp=N(3R)}}[/tex]
Where N is the number of atoms per formula unit and R is the universal gas constant
While the value of R is:
R = 8.3144621 J / K · mol
then:
3R = 24.94 J / K · mol
Heat capactiy per gram of a compound containing rubidium and oxygen is 0.64 J · K⁻¹ · g⁻¹
We try the possible empirical formula from the composition of Rb and O
So the number of atoms: 3 (Rb = 2 atoms, O = 1 atom)
Then the value of the Cp:
Molar mass Rb₂O = 2.85.5 + 1.16 = 187 g/mol
[tex]\displaystyle Cp=N(3R)\\\\0.64=\frac{3.24.94}{187}\\\\0.64\neq0.4[/tex]
Then this empirical formula Rb₂O is not appropriate
So the number of atoms: 3 (Rb = 1 atom, O = 2 atoms)
Then the value of the Cp:
Molar mass RbO₂ = 1.85.5 + 2.16 = 117.5 g / mol
[tex]\displaystyle Cp=N(3R)\\\\0.64=\frac{3.24.94}{117.5}\\\\0.64=0.64[/tex]
Then this empirical formula RbO₂ is appropriate
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Keywords: an empirical formula,compound, gas constant, Dulong and Petit's rule,the molar heat capacity
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