Manganese forms nonstoichiometric oxides having the general formula MnOn. Find the value of n for the compound that analysed 63.7% Mn.

Explanation

To find the value of \( n \) in the compound \( \text{MnO}_n \) that contains 63.7% manganese, we can follow these steps:

### Step 1: Set up the equation for the percentage of manganese.
The percentage of manganese in the compound can be expressed as:
\[ \text{Percentage of Mn} = \frac{\text{mass of Mn}}{\text{molar mass of } \text{MnO}_n} \times 100 \]
Given that the atomic mass of manganese (Mn) is approximately 55 g/mol and the atomic mass of oxygen (O) is approximately 16 g/mol, the molar mass of \( \text{MnO}_n \) can be expressed as:
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