To determine the percent yield for the reaction, we can follow these steps:
1. Understand the given data:
- The theoretical yield of [tex]\( NO_2 \)[/tex] is [tex]\( 38.33 \)[/tex] grams. The theoretical yield represents the maximum amount of product that can be generated from the given amounts of reactants based on the stoichiometry of the balanced chemical equation.
- The actual yield of [tex]\( NO_2 \)[/tex] is [tex]\( 19.5 \)[/tex] grams. The actual yield is the amount of product actually obtained from the reaction.
2. Formula for percent yield:
The percent yield can be calculated using the formula:
[tex]\[
\text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100
\][/tex]
3. Substitute the values into the formula:
[tex]\[
\text{Percent Yield} = \left( \frac{19.5 \text{ g }}{38.33 \text{ g }} \right) \times 100
\][/tex]
4. Perform the division:
[tex]\[
\frac{19.5}{38.33} \approx 0.508
\][/tex]
5. Multiply by 100 to convert to a percentage:
[tex]\[
0.508 \times 100 = 50.87398904252544
\][/tex]
Therefore, the percent yield for the reaction is approximately [tex]\( 50.87398904252544\% \)[/tex].
