Question

9. Determine the percent compositions for each of the following compound. C. Fe(C2H3O2)3

Answer 1

The percent composition of Fe = 26.73%

The percent composition of C = 22.99%

The percent composition of H = 4.34%

The percent composition of O = 45.94%

Step-by-step explanation

Given:

The compound is Fe(C₂H₃O₂)₃

What to find:

The percent composition of each of the elements in Fe(C₂H₃O₂)₃

Step-by-step solution:

Step 1: Calculate the total of Fe(C₂H₃O₂)₃ using the atomic masses of each of the elements in the periodic table.

Atomic mass of: (H = 1.008, C = 12.01, O = 15.999, Fe = 55.845)

Total mass of Fe(C₂H₃O₂)₃ = Fe + 4(C) + 9(H) + 6(O)

Total mass of Fe(C₂H₃O₂)₃ = 55.845 + 4(12.01) + 9(1.008) + 6(15.999)

Total mass of Fe(C₂H₃O₂)₃ = 55.845 + 48.04 + 9.072 + 95.994

Total mass of Fe(C₂H₃O₂)₃ = 208.951

Step 2: Determine the percent composition of Fe in Fe(C₂H₃O₂)₃

Mass of Fe in Fe(C₂H₃O₂)₃ = 55.845

`\begin{gathered} Percent\text{ }composition\text{ }of\text{ }Fe=\frac{Mass\text{ }of\text{ }Fe}{Total\text{ }mass}*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }Fe=(55.845)/(208.951)*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }Fe=26.73\% \end{gathered}`

The percent composition of Fe = 26.73%

Step 3: Determine the percent composition of C in Fe(C₂H₃O₂)₃

Mass of C in Fe(C₂H₃O₂)₃ = 4(C) = 48.04

`\begin{gathered} Percent\text{ }composition\text{ }of\text{ }C=\frac{Mass\text{ }of\text{ }C}{Total\text{ }mass}*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }C=(48.04)/(208.951)*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }C=22.99\% \end{gathered}`

The percent composition of C = 22.99%

Step 4: Determine the percent composition of H in Fe(C₂H₃O₂)₃

Mass of H in Fe(C₂H₃O₂)₃ = 9(H) = 9.072

`\begin{gathered} Percent\text{ }composition\text{ }of\text{ }H=\frac{Mass\text{ }of\text{ }H}{Total\text{ }mass}*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }H=(9.072)/(208.951)*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }H=4.34\% \end{gathered}`

The percent composition of H = 4.34%

Step 5: Determine the percent composition of O in Fe(C₂H₃O₂)₃

Mass of O in Fe(C₂H₃O₂)₃ = 6(O) = 95.994

`\begin{gathered} Percent\text{ }composition\text{ }of\text{ }O=\frac{Mass\text{ }of\text{ }O}{Total\text{ }mass}*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }O=(95.994)/(208.951)*100\% \\ \\ Percent\text{ }composition\text{ }of\text{ }O=45.94\% \end{gathered}`

The percent composition of O = 45.94%