<u>Answer:</u> The mass percentage of carbon element is 63.57 %, hydrogen element is 5.96 %, nitrogen element is 9.28 % and oxygen element is 21.19 %
<u>Explanation:</u>
We are given:
A chemical compound having chemical formula of
. This compound is made by the combination of carbon, hydrogen, nitrogen and oxygen elements.
1 mole of acetaminophen contains 8 moles of carbon atom, 9 moles of hydrogen atom, 1 mole of nitrogen atom and 2 moles of oxygen atom
Mass of carbon element = ![(8\times 12)=96g/mol](https://tex.z-dn.net/?f=%288%5Ctimes%2012%29%3D96g%2Fmol)
Mass of hydrogen element = ![(9\times 1)=9g/mol](https://tex.z-dn.net/?f=%289%5Ctimes%201%29%3D9g%2Fmol)
Mass of nitrogen element = ![(1\times 14)=14g/mol](https://tex.z-dn.net/?f=%281%5Ctimes%2014%29%3D14g%2Fmol)
Mass of oxygen element = ![(2\times 16)=32g/mol](https://tex.z-dn.net/?f=%282%5Ctimes%2016%29%3D32g%2Fmol)
Mass of the compound = 151 g/mol
To calculate the percentage composition of an element in a compound, we use the equation:
........(1)
- <u>For carbon element:</u>
Putting values in equation 1, we get:
![\% \text{ composition of carbon element}=\frac{96}{151}\times 100\\\\\% \text{ composition of carbon element}=63.57\%](https://tex.z-dn.net/?f=%5C%25%20%5Ctext%7B%20composition%20of%20carbon%20element%7D%3D%5Cfrac%7B96%7D%7B151%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7B%20composition%20of%20carbon%20element%7D%3D63.57%5C%25)
- <u>For hydrogen element:</u>
Putting values in equation 1, we get:
![\% \text{ composition of hydrogen element}=\frac{9}{151}\times 100\\\\\% \text{ composition of hydrogen element}=5.96\%](https://tex.z-dn.net/?f=%5C%25%20%5Ctext%7B%20composition%20of%20hydrogen%20element%7D%3D%5Cfrac%7B9%7D%7B151%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7B%20composition%20of%20hydrogen%20element%7D%3D5.96%5C%25)
- <u>For nitrogen element:</u>
Putting values in equation 1, we get:
![\% \text{ composition of nitrogen element}=\frac{14}{151}\times 100\\\\\% \text{ composition of nitrogen element}=9.28\%](https://tex.z-dn.net/?f=%5C%25%20%5Ctext%7B%20composition%20of%20nitrogen%20element%7D%3D%5Cfrac%7B14%7D%7B151%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7B%20composition%20of%20nitrogen%20element%7D%3D9.28%5C%25)
- <u>For oxygen element:</u>
Putting values in equation 1, we get:
![\% \text{ composition of oxygen element}=\frac{32}{151}\times 100\\\\\% \text{ composition of oxygen element}=21.19\%](https://tex.z-dn.net/?f=%5C%25%20%5Ctext%7B%20composition%20of%20oxygen%20element%7D%3D%5Cfrac%7B32%7D%7B151%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7B%20composition%20of%20oxygen%20element%7D%3D21.19%5C%25)
Hence, the mass percentage of carbon element is 63.57 %, hydrogen element is 5.96 %, nitrogen element is 9.28 % and oxygen element is 21.19 %