Find the Mass Percentages Ca(SO_4)

$C a (S O_{4})$

Step 1

To find the mass of $1$ mole of $C a (S O_{4})$ 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 $C a (S O_{4})$ $=$ $(mass of Ca)$ + $(mass of S)$ + $4 (mass of O)$

Step 2

Fill in the atomic masses from the periodic table.

mass of $1$ mole of $C a (S O_{4})$ $=$ $(40.08000183)$ + $(32.06999969)$ + $4 (16)$

Step 3

Simplify the result.

Remove parentheses.

mass of $1$ mole of $C a (S O_{4}) = 40.08000183 + 32.06999969 + 4 (16) g$

Multiply $4$ by $16$ .

mass of $1$ mole of $C a (S O_{4}) = 40.08000183 + 32.06999969 + 64 g$

Add $40.08000183$ and $32.06999969$ .

mass of $1$ mole of $C a (S O_{4}) = 72.15000152 + 64 g$

Add $72.15000152$ and $64$ .

mass of $1$ mole of $C a (S O_{4}) = 136.15000152 g$

Step 4

Find the mass percentage of $C a$ .

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

Mass percentage of $C a = \frac{40.08}{136.15000152} \cdot 100$

Divide $40.08$ by $136.15000152$ .

$0.29438119 \cdot 100$

Multiply $0.29438119$ by $100$ .

$29.43811939$

Set the number as a percent.

Mass percentage of $C a = 29.43811939 %$

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 $S = \frac{32.07}{136.15000152} \cdot 100$

Divide $32.07$ by $136.15000152$ .

$0.23554902 \cdot 100$

Multiply $0.23554902$ by $100$ .

$23.55490241$

Set the number as a percent.

Mass percentage of $S = 23.55490241 %$

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 $O = \frac{64}{136.15000152} \cdot 100$

Divide $64$ by $136.15000152$ .

$0.47006977 \cdot 100$

Multiply $0.47006977$ by $100$ .

$47.00697707$

Set the number as a percent.

Mass percentage of $O = 47.00697707 %$

Step 7

Find the mass percentage of each element in the molecule.

Mass percentage of $C a = 29.43811939 %$

Mass percentage of $S = 23.55490241 %$

Mass percentage of $O = 47.00697707 %$

Find the Mass Percentages Ca(SO_4)

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