3. The specific heat of a metal was found to be 0.38 J/g.°C. When 0.5007 g of th

Question

3. The specific heat of a metal was found to be 0.38 J/g.°C. When 0.5007 g of this metal was heated in a stream of chlorine gas, it produced 1.0586 g of a metal the metal first. a. Determine the formula of the metal chloride and the accurate atomic chloride, MCL, Use the law of Dulong and Petit to estimate the molar mass of weight of the metal. What is the color of the chloride? (Consult the Handbook of Chemistry and Physics, Physical Constants of Inorganic Compounds, available in the library reference section.) b.

Explanation / Answer

a)   As per Law of Dulong and Petit

Specific Heat (C) = 3 * R / M or

M = 3 * R / C                                                                                                        ( R (= 8.134 J/K * mol)

M = (3 * 8.134) / 0.38 = 64.21 g/mol

Molar mass of metal ( atomic weight ) = 64.21 g/mol

Mass of metal = 0.5007 g

mass of metal chloride = 1.0586 g

mass of chlorine = 1.0586 g - 0.5007 = 0.5579 g

moles of chlorine = mass of chlorine / atomic mass chlorine = 0.5579 / 71

= 7.85 *10^-3 moles

moles of metal = mass /molar mass metal = 0.5007/ 64.21 = 7.79 *10^-3 moles

moles ratio of metal : chlorine = 7.79 *10^-3 moles : 7.85 *10^-3 moles

ratio = 7.79 / 7.85 : 7.85 /7.85 = 0.99 : 1 = 1:1

so formula of metal chloride = MCl

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