Find the Mass Percentages C_18H_36O_2

$C_{18} H_{36} O_{2}$

Step 1

To find the mass of $1$ mole of $C_{18} H_{36} O_{2}$ 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 $C_{18} H_{36} O_{2}$ $=$ $18 (mass of C)$ + $36 (mass of H)$ + $2 (mass of O)$

Step 2

Fill in the atomic masses from the periodic table.

mass of $1$ mole of $C_{18} H_{36} O_{2}$ $=$ $18 (12.01000022)$ + $36 (1.00999999)$ + $2 (16)$

Step 3

Simplify the result.

Simplify each term.

Multiply $18$ by $12.01000022$ .

mass of $1$ mole of $C_{18} H_{36} O_{2} = 216.18000411 + 36 (1.00999999) + 2 (16) g$

Multiply $36$ by $1.00999999$ .

mass of $1$ mole of $C_{18} H_{36} O_{2} = 216.18000411 + 36.35999965 + 2 (16) g$

Multiply $2$ by $16$ .

mass of $1$ mole of $C_{18} H_{36} O_{2} = 216.18000411 + 36.35999965 + 32 g$

Simplify by adding numbers.

Add $216.18000411$ and $36.35999965$ .

mass of $1$ mole of $C_{18} H_{36} O_{2} = 252.54000377 + 32 g$

Add $252.54000377$ and $32$ .

mass of $1$ mole of $C_{18} H_{36} O_{2} = 284.54000377 g$

Step 4

Find the mass percentage of $C$ .

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

Mass percentage of $C = \frac{216.18}{284.54000377} \cdot 100$

Divide $216.18$ by $284.54000377$ .

$0.75975257 \cdot 100$

Multiply $0.75975257$ by $100$ .

$75.9752573$

Set the number as a percent.

Mass percentage of $C = 75.9752573 %$

Step 5

Find the mass percentage of $H$ .

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

Mass percentage of $H = \frac{36.36}{284.54000377} \cdot 100$

Divide $36.36$ by $284.54000377$ .

$0.12778519 \cdot 100$

Multiply $0.12778519$ by $100$ .

$12.77851954$

Set the number as a percent.

Mass percentage of $H = 12.77851954 %$

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 $O = \frac{32}{284.54000377} \cdot 100$

Divide $32$ by $284.54000377$ .

$0.11246221 \cdot 100$

Multiply $0.11246221$ by $100$ .

$11.24622182$

Set the number as a percent.

Mass percentage of $O = 11.24622182 %$

Step 7

Find the mass percentage of each element in the molecule.

Mass percentage of $C = 75.9752573 %$

Mass percentage of $H = 12.77851954 %$

Mass percentage of $O = 11.24622182 %$

Find the Mass Percentages C_18H_36O_2

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