A particular metallic element, M, has a heat capacity of 0.36J*g*K, and it forms

Question

A particular metallic element, M, has a heat capacity of 0.36J*g*K, and it forms an oxide that contains 2.90 grams of M per gramof oxygen.

(a) Using the law of Dulong and Petit (Cp x M = 25 J*mol*K),estimate the molar mass of the metal M [Answer: _____ g/mol]

(b) From the composition of the oxide (2.90 g M/g O) and the molarmass of oxygen (16 g/mol), determine the mass of M that combineswith each mole of oxygen [Answer: _____ g M/mol O]

(c) Use your estimate of the atomic mass from question (a) and theinformation from question (b) to determine the empirical formula ofthe oxide (the moles of M that combine with each mole of O)[Answer: _____]

(d) Now that you know the composition of the oxide and its formula,what is the accurate value of the atomic mass of the metal M? Whatis the identity of M? [Answer: _____ g/mol]

Explanation / Answer

(a) 69.44 g/mol
(b) 46.4 g M/mol O
46.4/69.4 = 0.668 = moles M
16/16 = 1 mole O
(c) M2O3
d) Chromium which has a 51.9 amu

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