Chemistry Examples

$2 (H_{2} S O_{4})$

Step 1

To find the mass of $1$ mole of $2 (H_{2} S O_{4})$ 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 $2 (H_{2} S O_{4})$ $=$ $2 (mass of H)$ + $(mass of S)$ + $4 (mass of O)$

Step 2

Fill in the atomic masses from the periodic table.

mass of $1$ mole of $2 (H_{2} S O_{4})$ $=$ $2 (1.00999999)$ + $(32.06999969)$ + $4 (16)$

Step 3

Simplify the result.

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Step 3.1

Remove parentheses.

mass of $1$ mole of $2 (H_{2} S O_{4}) = 2 (1.00999999) + 32.06999969 + 4 (16) g$

Step 3.2

Simplify each term.

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Step 3.2.1

Multiply $2$ by $1.00999999$ .

mass of $1$ mole of $2 (H_{2} S O_{4}) = 2.01999998 + 32.06999969 + 4 (16) g$

Step 3.2.2

Multiply $4$ by $16$ .

mass of $1$ mole of $2 (H_{2} S O_{4}) = 2.01999998 + 32.06999969 + 64 g$

Step 3.3

Simplify by adding numbers.

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Step 3.3.1

Add $2.01999998$ and $32.06999969$ .

mass of $1$ mole of $2 (H_{2} S O_{4}) = 34.08999967 + 64 g$

Step 3.3.2

Add $34.08999967$ and $64$ .

mass of $1$ mole of $2 (H_{2} S O_{4}) = 98.08999967 g$

Step 4

Find the mass percentage of $H$ .

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Step 4.1

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

Mass percentage of $H = \frac{2.02}{98.08999967} \cdot 100$

Step 4.2

Divide $2.02$ by $98.08999967$ .

$0.02059333 \cdot 100$

Step 4.3

Multiply $0.02059333$ by $100$ .

$2.05933327$

Step 4.4

Set the number as a percent.

Mass percentage of $H = 2.05933327 %$

Step 5

Find the mass percentage of $S$ .

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Step 5.1

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

Mass percentage of $S = \frac{32.07}{98.08999967} \cdot 100$

Step 5.2

Divide $32.07$ by $98.08999967$ .

$0.32694464 \cdot 100$

Step 5.3

Multiply $0.32694464$ by $100$ .

$32.69446437$

Step 5.4

Set the number as a percent.

Mass percentage of $S = 32.69446437 %$

Step 6

Find the mass percentage of $O$ .

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Step 6.1

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

Mass percentage of $O = \frac{64}{98.08999967} \cdot 100$

Step 6.2

Divide $64$ by $98.08999967$ .

$0.65246202 \cdot 100$

Step 6.3

Multiply $0.65246202$ by $100$ .

$65.24620268$

Step 6.4

Set the number as a percent.

Mass percentage of $O = 65.24620268 %$

Step 7

Find the mass percentage of each element in the molecule.

Mass percentage of $H = 2.05933327 %$

Mass percentage of $S = 32.69446437 %$

Mass percentage of $O = 65.24620268 %$