Find the Mass Percentages KMnO_4

$K M n O_{4}$

Step 1

To find the mass of $1$ mole of $K M n O_{4}$ look up the atomic mass of each element and multiply it by the number of atoms contained in each element in the molecule.

mass of $1$ mole of $K M n O_{4}$ $=$ $(mass of K)$ + $(mass of Mn)$ + $4 (mass of O)$

Step 2

Fill in the atomic masses from the periodic table.

mass of $1$ mole of $K M n O_{4}$ $=$ $(39.09999847)$ + $(54.93999862)$ + $4 (16)$

Step 3

Simplify the result.

Remove parentheses.

mass of $1$ mole of $K M n O_{4} = 39.09999847 + 54.93999862 + 4 (16) g$

Multiply $4$ by $16$ .

mass of $1$ mole of $K M n O_{4} = 39.09999847 + 54.93999862 + 64 g$

Add $39.09999847$ and $54.93999862$ .

mass of $1$ mole of $K M n O_{4} = 94.0399971 + 64 g$

Add $94.0399971$ and $64$ .

mass of $1$ mole of $K M n O_{4} = 158.0399971 g$

Step 4

Find the mass percentage of $K$ .

The mass composition percentage is the mass of $K$ divided by the mass of the entire molecule converted to a percentage.

Mass percentage of $K = \frac{39.1}{158.0399971} \cdot 100$

Divide $39.1$ by $158.0399971$ .

$0.24740572 \cdot 100$

Multiply $0.24740572$ by $100$ .

$24.74057246$

Set the number as a percent.

Mass percentage of $K = 24.74057246 %$

Step 5

Find the mass percentage of $M n$ .

The mass composition percentage is the mass of $M n$ divided by the mass of the entire molecule converted to a percentage.

Mass percentage of $M n = \frac{54.94}{158.0399971} \cdot 100$

Divide $54.94$ by $158.0399971$ .

$0.34763351 \cdot 100$

Multiply $0.34763351$ by $100$ .

$34.76335168$

Set the number as a percent.

Mass percentage of $M n = 34.76335168 %$

Step 6

Find the mass percentage of $O$ .

The mass composition percentage is the mass of $O$ divided by the mass of the entire molecule converted to a percentage.

Mass percentage of $O = \frac{64}{158.0399971} \cdot 100$

Divide $64$ by $158.0399971$ .

$0.40496077 \cdot 100$

Multiply $0.40496077$ by $100$ .

$40.49607768$

Set the number as a percent.

Mass percentage of $O = 40.49607768 %$

Step 7

Find the mass percentage of each element in the molecule.

Mass percentage of $K = 24.74057246 %$

Mass percentage of $M n = 34.76335168 %$

Mass percentage of $O = 40.49607768 %$

Find the Mass Percentages KMnO_4

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