A compound has a percent composition of 24.74% potassium (molar mass = 39.10 g/mol), 34.76% manganese (molar mass = 54.94 g/mol), and 40.50% oxygen (molar mass = 16.00 g/mol). Assuming that the mass of the compound is 100 g, what is the compound’s empirical formula?

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Answer:

The empirical formua is KMnO4

Explanation:

Step 1: Data given

Mass of the compound = 100 grams

24.74%  = potassium

Molar mass of K = 39.10 g/mol)

34.76%  = manganese

Molar mass of Mn= 54.94 g/mol

40.50%  = oxygen

Molar mass = 16.00 g/mol

Step 2: Calculate moles of potassium

Moles K = mass K / molar mass K

Moles K = 24.74 grams / 39.10 g/mol

Moles K = 0.6327 moles

Step 3: Calculate moles of Mn

Moles Mn = 34.76 grams / 54.94 g/mol

Moles Mn = 0.6327 moles

Step 4: Calculate moles of O

Moles O = 40.50 grams / 16.00 g/mol

Moles O = 2.53

Step 5: Calculate the mol ratio

We divide by the smallest amount of mol

K: 0.6327 / 0.6327 = 1

Mn: 0.6327/0.6327 = 1

O: 2.53 / 0.6327 = 4

The empirical formua is KMnO4

The empirical formula of the given compound is [tex]\bold {KMnO_4}[/tex]. The empirical formula is the simplest ratios of the elements in the compound.

What is empirical formula?

The formula that is written as the simplest ratio of the elements in the compounds.

First calculate the moles of elements,

[tex]K =\dfrac { 24.74 }{ 39.10}\\\\K = 0.6327 \rm \ moles[/tex]

Moles of Mn,

[tex]Mn = \dfrac {34.76} {54.94}\\\\Mn = 0.6327 \rm \ moles[/tex]

Moles of Oxygen:

[tex]O = \dfrac {40.50}{ 16.00} \\\\O = 2.53 \rm \ moles[/tex]

Now calculate the molar ratios by dividing from smallest number.

[tex]\bold {Potassium = \dfrac {0.6327}{ 0.6327} = 1}[/tex]

[tex]\bold {Manganese = \dfrac {0.6327}{ 0.6327} = 1}[/tex]

[tex]\bold {Oxygen = \dfrac {2.43}{ 0.6327} = 4}[/tex]

Therefore, the empirical formula of the given compound is [tex]\bold {KMnO_4}[/tex].

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