To find the percent yield of sodium chloride (NaCl) from the given reaction, we need to use the actual yield and the theoretical yield provided in the problem. Here's a step-by-step solution:
1. Identify the actual yield and theoretical yield:
- Actual yield: [tex]\(6.4 \, \text{g}\)[/tex]
- Theoretical yield: [tex]\(7.42 \, \text{g}\)[/tex]
2. Understand the formula for percent yield:
The percent yield is calculated using the following formula:
[tex]\[
\text{Percent yield} = \left( \frac{\text{Actual yield}}{\text{Theoretical yield}} \right) \times 100
\][/tex]
3. Substitute the given values into the formula:
- Actual yield = [tex]\(6.4 \, \text{g}\)[/tex]
- Theoretical yield = [tex]\(7.42 \, \text{g}\)[/tex]
[tex]\[
\text{Percent yield} = \left( \frac{6.4}{7.42} \right) \times 100
\][/tex]
4. Calculate the fraction:
[tex]\[
\frac{6.4}{7.42} \approx 0.8625336927223721
\][/tex]
5. Multiply by 100 to get the percent yield:
[tex]\[
0.8625336927223721 \times 100 \approx 86.25336927223721
\][/tex]
6. Round to a reasonable number of significant figures:
[tex]\[
\text{Percent yield} \approx 86\%
\][/tex]
Hence, the percent yield of sodium chloride is approximately 86%. Therefore, the correct answer is:
[tex]\[
\boxed{86 \%}
\][/tex]
