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4.
A dead alkaline battery is found to contain a compound of manganese and oxygen. Its percentage composition
is 70.0% Mn and 30.0% O. What is the empirical formula of this substance?


Sagot :

The dead battery with a percentage composition of 70.0% Mn and 30.0% O has the empirical formula Mn₂O₃.

What is an empirical formula?

An empirical formula is the minimal relationship between the atoms in a chemical formula.

A dead alkaline battery is 70.0 % Mn and 30.0 % O. To find the empirical formula, we will divide each percentage by the molar mass of the element.

  • Mn: 70.0/54.94 = 1.27
  • O:   30.0/16.00 = 1.88

Then, we divide both numbers by the smallest one.

  • Mn: 1.27/1.27 = 1
  • O:   1.88/1.27 ≈ 1.5

Finally, we multiply both numbers by 2 so that they are whole numbers.

  • Mn: 1 × 2 = 2
  • O:   1.5 × 2 = 3

The empirical formula of the compound is Mn₂O₃.

The dead battery with a percentage composition of 70.0% Mn and 30.0% O has the empirical formula Mn₂O₃.

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