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Answer :
Sure! Let's solve this step-by-step.
We need to determine the actual yield of a reaction given:
- The percent yield is 68.0%.
- The theoretical yield is 0.526 grams.
### Step-by-Step Solution
1. Understand the Percent Yield Formula:
The formula to calculate the actual yield from percent yield and theoretical yield is:
[tex]\[
\text{Actual yield} = \left( \frac{\text{Percent yield}}{100} \right) \times \text{Theoretical yield}
\][/tex]
2. Convert Percent Yield to Decimal:
Percent yield is given as 68.0%. To use it in the formula, we first need to convert it to a decimal:
[tex]\[
\text{Percent yield} = \frac{68.0}{100} = 0.68
\][/tex]
3. Plug the Values into the Formula:
Now substitute the decimal form of the percent yield and the theoretical yield into the formula:
[tex]\[
\text{Actual yield} = 0.68 \times 0.526
\][/tex]
4. Calculate the Actual Yield:
Perform the multiplication:
[tex]\[
\text{Actual yield} = 0.68 \times 0.526 = 0.35768 \text{ grams}
\][/tex]
5. Match the Result with Provided Options:
From the options given:
- 35.8 grams
- 0.774 grams
- 0.358 grams
- 1.29 grams
The value [tex]\(0.35768 \text{ grams}\)[/tex] is closest to [tex]\(0.358 \text{ grams}\)[/tex].
### Conclusion
The actual yield of the reaction is:
\[
0.358 \text{ grams}
\
We need to determine the actual yield of a reaction given:
- The percent yield is 68.0%.
- The theoretical yield is 0.526 grams.
### Step-by-Step Solution
1. Understand the Percent Yield Formula:
The formula to calculate the actual yield from percent yield and theoretical yield is:
[tex]\[
\text{Actual yield} = \left( \frac{\text{Percent yield}}{100} \right) \times \text{Theoretical yield}
\][/tex]
2. Convert Percent Yield to Decimal:
Percent yield is given as 68.0%. To use it in the formula, we first need to convert it to a decimal:
[tex]\[
\text{Percent yield} = \frac{68.0}{100} = 0.68
\][/tex]
3. Plug the Values into the Formula:
Now substitute the decimal form of the percent yield and the theoretical yield into the formula:
[tex]\[
\text{Actual yield} = 0.68 \times 0.526
\][/tex]
4. Calculate the Actual Yield:
Perform the multiplication:
[tex]\[
\text{Actual yield} = 0.68 \times 0.526 = 0.35768 \text{ grams}
\][/tex]
5. Match the Result with Provided Options:
From the options given:
- 35.8 grams
- 0.774 grams
- 0.358 grams
- 1.29 grams
The value [tex]\(0.35768 \text{ grams}\)[/tex] is closest to [tex]\(0.358 \text{ grams}\)[/tex].
### Conclusion
The actual yield of the reaction is:
\[
0.358 \text{ grams}
\
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