Final answer:
The percent yield is calculated by dividing the actual yield by the theoretical yield and then multiplying by 100%. Based on the provided weights and stoichiometry, we calculated the percent yield as 26.9%, which does not match any of the provided choices, suggesting there might be an error in the calculation or the proposed answer choices.
This correct answer is none of the above.
Step-by-step explanation:
To calculate the percent yield of a chemical reaction, we need to compare the actual yield to the theoretical yield. The theoretical yield is the maximum amount of product that can be formed from the given amounts of reactants. We'll need to use stoichiometry based on the balanced equation to find the theoretical yield first.
The balanced chemical equation for the reaction between sodium (Na) and bromine (Br) to form sodium bromide (NaBr) is:
2 Na + Br2 → 2 NaBr
First, let's find the mole ratio between Na and NaBr from the balanced equation, which is 2:2 or 1:1. Then, we calculate the number of moles of Na:
49.1 g Na (1 mol Na/22.99 g Na) = 2.14 mol Na
Now, let's convert the moles of Na to moles of NaBr (using the 1:1 mole ratio):
2.14 mol Na → 2.14 mol NaBr
Next, convert moles of NaBr to grams:
2.14 mol NaBr (102.89 g NaBr/mol NaBr) = 220.2 g NaBr (theoretical yield)
Finally, we calculate the percent yield:
Percent Yield = (Actual Yield / Theoretical Yield) x 100%
Percent Yield = (59.3 g NaBr / 220.2 g NaBr) x 100% = 26.9%
However, this percentage doesn't match any of the proposed answer choices, which indicates there might be a mistake in the calculation or the provided choices. If we assume that the actual yield is correct, and the theoretical yield is the maximum possible yield without any errors, the percent yield calculation needs to match one of the given options.
This correct answer is none of the above.