1g of metal M with specific heat 0.06 combines with oxygen to form 1.08g of its oxide. What is the atomic weight of metal?

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Solution

Formula relating specfic heat of an element with its atomic mass according to Dulong and petit's law is Dulong and Petit’s law says that, for a given solid element, molar mass (M) (g/mol) x specific heat (c) (J/g.K) = 25 J/mol. K Molar mass of metal = 25 J/mol. K / specific heat specific heat is given in cal/g we will convert it into J /K 0.06 cal/g/ C = 0.25 J/g/K So, molar atomic mass of given metal = 25 J/mol. K / 0.25 J/g.K = 100 g mol-1

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