A 1.90-g sample of an oxide of bromine is converted to 3.188 g of AgBr. Calculate the empirical formula of the oxide. (molar mass for AgBr =187.78 g/mol) a. BrO
b. Br2O
c. BrO
d. BrO3
e. None of these

e. None of these

Explanation:

The oxide of Bromine (BrₐOₓ) produce "a" moles of Br that are equal to "a" moles of AgBr. The moles of AgBr are:

Moles AgBr:

3.188g AgBr * (1mol / 187.78g) = 0.01698 moles of AgBr = Moles of Br

These moles of Br weighs (Molar mass: 79.9g/mol):

0.01698 moles of Br * (79.9g / mol) = 1.36g of Br

Mass of Oxygen must be:

1.90g - 1.36g Br = 0.54g oxygen. In moles:

0.54g O * (1mol / 16g) = 0.03375 moles of O

Empirical formula is the simplest ratio of atoms in the molecule. Dividing in the moles of Br:

Br:  0.01698 moles of Br / 0.01698 moles = 1

O: 0.03375 moles of O / 0.01698 moles = 1.99 ≅ 2

That means empirical formula is:

BrO₂

And right option is:

b is the correct answer

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the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3