The French chemists, Pierre L. Dulong and Alexis T. Petit, noted in 1819 that the molar heat capacity of many solids at ordinary temperatures is proportional to the number of atoms per formula unit of the solid. They quantified their observations in what is known as Dulong and Petit's rule, which says that the molar heat capacity, Cp, of a solid can be expressed as Cp = N 3R where N is the number of atoms per formula unit and R is the universal gas constant. The observed heat capacity per gram of a compound containing rubidium and oxygen is 0.64 J. K-¹ .g-¹. Use Dulong and Petit's rule to determine the empirical formula of the compound. empirical formula: Rb50 Incorrect

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Chapter4: Energy And Chemical Reactions
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If the formula is RbxOy, then N = x + y, so
Cp = (x + y). 3R
The molar heat capacity is Cp = (0.64 J · K¯¹ · g¯¹) × (formula mass), where
formula mass = (85.5x + 16.0y).
-1
Also, you know that R = 8.3145 J. K-¹ · mol-¹, so 3R ≈ 25.
-1
(0.64) (85.5x + 16.0y) = 25 (x + y)
To simplify the math, start by assuming x = 1, then solve for y.
Transcribed Image Text:Feedback If the formula is RbxOy, then N = x + y, so Cp = (x + y). 3R The molar heat capacity is Cp = (0.64 J · K¯¹ · g¯¹) × (formula mass), where formula mass = (85.5x + 16.0y). -1 Also, you know that R = 8.3145 J. K-¹ · mol-¹, so 3R ≈ 25. -1 (0.64) (85.5x + 16.0y) = 25 (x + y) To simplify the math, start by assuming x = 1, then solve for y.
The French chemists, Pierre L. Dulong and Alexis T. Petit, noted in 1819 that the molar heat capacity of many solids at ordinary
temperatures is proportional to the number of atoms per formula unit of the solid. They quantified their observations in what is
known as Dulong and Petit's rule, which says that the molar heat capacity, Cp, of a solid can be expressed as
Cp = N. 3R
where N is the number of atoms per formula unit and R is the universal gas constant.
-1
The observed heat capacity per gram of a compound containing rubidium and oxygen is 0.64 J · K¯¹ . g¯¹. Use Dulong and
Petit's rule to determine the empirical formula of the compound.
empirical formula:
Rb5O
Incorrect
Transcribed Image Text:The French chemists, Pierre L. Dulong and Alexis T. Petit, noted in 1819 that the molar heat capacity of many solids at ordinary temperatures is proportional to the number of atoms per formula unit of the solid. They quantified their observations in what is known as Dulong and Petit's rule, which says that the molar heat capacity, Cp, of a solid can be expressed as Cp = N. 3R where N is the number of atoms per formula unit and R is the universal gas constant. -1 The observed heat capacity per gram of a compound containing rubidium and oxygen is 0.64 J · K¯¹ . g¯¹. Use Dulong and Petit's rule to determine the empirical formula of the compound. empirical formula: Rb5O Incorrect
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