Questions: What is the mass percent of Cl in ZnCl3?

Transcript text: What is the mass percent of Cl in $\mathrm{ZnCl}_{3}$ ?

Solution

Solution Steps

Step 1: Determine the Molar Mass of $\mathrm{ZnCl}_3$

To find the mass percent of Cl in $\mathrm{ZnCl}_3$, we first need to calculate the molar mass of $\mathrm{ZnCl}_3$. The molar masses of the elements are approximately:

Zn: 65.38 g/mol
Cl: 35.45 g/mol

Since there are three chlorine atoms in $\mathrm{ZnCl}_3$, the molar mass of $\mathrm{ZnCl}_3$ is calculated as follows:

\[ \text{Molar mass of } \mathrm{ZnCl}_3 = 65.38 + 3 \times 35.45 = 171.73 \, \text{g/mol} \]

Step 2: Calculate the Total Mass of Chlorine in $\mathrm{ZnCl}_3$

The total mass of chlorine in one mole of $\mathrm{ZnCl}_3$ is:

\[ 3 \times 35.45 = 106.35 \, \text{g/mol} \]

Step 3: Calculate the Mass Percent of Chlorine

The mass percent of chlorine in $\mathrm{ZnCl}_3$ is given by the formula:

\[ \text{Mass percent of Cl} = \left( \frac{\text{Total mass of Cl}}{\text{Molar mass of } \mathrm{ZnCl}_3} \right) \times 100\% \]

Substituting the values we calculated:

\[ \text{Mass percent of Cl} = \left( \frac{106.35}{171.73} \right) \times 100\% \approx 61.95\% \]

Final Answer

The mass percent of Cl in $\mathrm{ZnCl}_3$ is $\boxed{61.95\%}$.

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