Questions: Calculate the percent composition by mass of each element in KClO3.

Transcript text: Calculate the percent composition by mass of each element in $\mathrm{KClO}_{3}$.

Solution

Solution Steps

Step 1: Determine the Molar Mass of KClO$_3$

To find the percent composition by mass of each element in KClO$_3$, we first need to calculate its molar mass. The molar masses of the elements are approximately:

Potassium (K): 39.10 g/mol
Chlorine (Cl): 35.45 g/mol
Oxygen (O): 16.00 g/mol

The molar mass of KClO$_3$ is calculated as follows:

\[ \text{Molar mass of KClO}_3 = 39.10 + 35.45 + 3 \times 16.00 = 122.55 \, \text{g/mol} \]

Step 2: Calculate the Percent Composition of Each Element

Percent Composition of Potassium (K)

The percent composition of potassium is calculated by dividing the molar mass of potassium by the molar mass of KClO$_3$ and multiplying by 100:

\[ \% \, \text{K} = \left( \frac{39.10}{122.55} \right) \times 100 = 31.91\% \]

Percent Composition of Chlorine (Cl)

The percent composition of chlorine is calculated similarly:

\[ \% \, \text{Cl} = \left( \frac{35.45}{122.55} \right) \times 100 = 28.93\% \]

Percent Composition of Oxygen (O)

The percent composition of oxygen is calculated by considering all three oxygen atoms:

\[ \% \, \text{O} = \left( \frac{3 \times 16.00}{122.55} \right) \times 100 = 39.16\% \]

Final Answer

\[ \boxed{\% \, \text{K} = 31.91\%} \]

\[ \boxed{\% \, \text{Cl} = 28.93\%} \]

\[ \boxed{\% \, \text{O} = 39.16\%} \]

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