Find the Mass Percentages Na_2SO_4

$N a_{2} S O_{4}$

Step 1

To find the mass of $1$ mole of $N a_{2} S O_{4}$ 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 $N a_{2} S O_{4}$ $=$ $2 (mass of Na)$ + $(mass of S)$ + $4 (mass of O)$

Step 2

Fill in the atomic masses from the periodic table.

mass of $1$ mole of $N a_{2} S O_{4}$ $=$ $2 (22.98999977)$ + $(32.06999969)$ + $4 (16)$

Step 3

Simplify the result.

Remove parentheses.

mass of $1$ mole of $N a_{2} S O_{4} = 2 (22.98999977) + 32.06999969 + 4 (16) g$

Simplify each term.

Multiply $2$ by $22.98999977$ .

mass of $1$ mole of $N a_{2} S O_{4} = 45.97999954 + 32.06999969 + 4 (16) g$

Multiply $4$ by $16$ .

mass of $1$ mole of $N a_{2} S O_{4} = 45.97999954 + 32.06999969 + 64 g$

Simplify by adding numbers.

Add $45.97999954$ and $32.06999969$ .

mass of $1$ mole of $N a_{2} S O_{4} = 78.04999923 + 64 g$

Add $78.04999923$ and $64$ .

mass of $1$ mole of $N a_{2} S O_{4} = 142.04999923 g$

Step 4

Find the mass percentage of $N a$ .

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

Mass percentage of $N a = \frac{45.98}{142.04999923} \cdot 100$

Divide $45.98$ by $142.04999923$ .

$0.32368884 \cdot 100$

Multiply $0.32368884$ by $100$ .

$32.36888436$

Set the number as a percent.

Mass percentage of $N a = 32.36888436 %$

Step 5

Find the mass percentage of $S$ .

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

Mass percentage of $S = \frac{32.07}{142.04999923} \cdot 100$

Divide $32.07$ by $142.04999923$ .

$0.22576557 \cdot 100$

Multiply $0.22576557$ by $100$ .

$22.57655767$

Set the number as a percent.

Mass percentage of $S = 22.57655767 %$

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 $O = \frac{64}{142.04999923} \cdot 100$

Divide $64$ by $142.04999923$ .

$0.45054558 \cdot 100$

Multiply $0.45054558$ by $100$ .

$45.05455849$

Set the number as a percent.

Mass percentage of $O = 45.05455849 %$

Step 7

Find the mass percentage of each element in the molecule.

Mass percentage of $N a = 32.36888436 %$

Mass percentage of $S = 22.57655767 %$

Mass percentage of $O = 45.05455849 %$

Find the Mass Percentages Na_2SO_4

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