A 20.38 gram sample of cobalt is heated in the presence of excess sulfur. A metal sulfide is formed with a mass of 31.47 g. Determine the empirical formula of the metal sulfide.

The empirical formula of the metal sulfide is .

Explanation:

Given: Mass of metal = 20.38 g

Mass of metal sulfide = 31.47 g

Moles is the mass of a substance divided by its molar mass.

So, moles of cobalt (molar mass = 59 g/mol) are as follows.

Moles of bromine (molar mass = 80 g/mol) are as follows.

Now, the ratio of number of moles of cobalt and number of moles of bromine are as follows.

Moles of Co : Moles of Br = 1 : 2

Hence, the empirical formula is .

Thus, we can conclude that the empirical formula of the metal sulfide is .

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