A student isolated 25 g of a compound following a procedure that would theoretically yield 81 g. What was his percent yield?

Short Answer

Expert verified
The student's percent yield is approximately 30.86%.

Step by step solution

01

Understand Percent Yield

Percent yield is calculated by comparing the actual yield of a reaction to the theoretical yield and then converting this to a percentage. The formula is: Percent Yield = (Actual Yield / Theoretical Yield) * 100.
02

Identify Actual and Theoretical Yield

From the exercise, the actual yield is 25 grams and the theoretical yield is 81 grams.
03

Calculate Percent Yield

Plug the actual yield and the theoretical yield into the percent yield formula: Percent Yield = (25 g / 81 g) * 100.
04

Perform the Calculation

Carrying out the calculation gives: Percent Yield = (25 / 81) * 100 Percent Yield ≈ 30.86%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Actual Yield
In the context of a chemical reaction, the actual yield refers to the measured amount of a product obtained from the reaction. It's the quantity you actually obtain after performing the experiment and taking into account all losses due to factors like incomplete reactions, side reactions, or product recovery mistakes. For instance, if a student conducts a lab experiment and ends up with 25 grams of a compound, that 25 grams represents the actual yield.

When discussing actual yield, it's essential to remember that it is often less than the theoretical yield due to the practical limitations of the experimental method. It is also a key factor in calculating percent yield because it represents the reality of the experimental results, which can be compared to the ideal or calculated outcomes.
Theoretical Yield Explained
The theoretical yield is the quantity of a product that could be formed in a chemical reaction under perfect conditions, based on stoichiometric calculations from the balanced chemical equation. It's a vital concept in stoichiometry, as it serves as a benchmark for determining the efficiency of a reaction. The theoretical yield assumes that every molecule of reactants converts to products, which rarely happens due to practical constraints.

For example, if stoichiometric calculations predict that a reaction could produce 81 grams of a compound, that amount is the theoretical yield. It is purely hypothetical and based on ideal conditions without any losses. The comparison between theoretical yield and actual yield leads to determining the percent yield of the reaction.
Stoichiometry and Chemical Reactions
Stoichiometry is a section of chemistry that involves calculating the amounts of reactants and products in chemical reactions. It is based on the conservation of mass and the balanced chemical equation that represents the reaction. Stoichiometry takes into account the mole ratios of the substances involved to predict how much of each substance is needed or produced.

When you perform stoichiometric calculations, you're dealing with ideal situations that don't account for real-world inefficiencies. These calculations help estimate the theoretical yield. However, the actual yield is what is practically obtained and is often lower due to various factors affecting the reaction process. Understanding stoichiometry is crucial for predicting the theoretical yields, which in turn are used to calculate percent yields in chemical experiments.
Chemical Reaction Efficiency
Chemical reaction efficiency is quantitatively evaluated using the percent yield, which is the ratio of the actual yield to the theoretical yield, multiplied by 100. Percent yield provides insight into how efficient a chemical process is and is an important metric in both academic and industrial settings.

A high percent yield, close to 100%, indicates that the reaction has been highly efficient, with minimal losses. A lower percent yield suggests the presence of significant losses, impurities, or side reactions that prevented the reaction from proceeding to completion. The percent yield can help chemists to optimize reaction conditions and troubleshoot any issues in the experimental design. In our example, the student's percent yield of approximately 30.86% would be considered low, indicating room for improving the reaction's efficiency.

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Most popular questions from this chapter

Toluene, \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{3}\), is oxidized by air under carefully controlled conditions to benzoic acid, \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{H}\), which is used to prepare the food preservative sodium benzoate, \(C_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{Na} .\) What is the percent yield of a reaction that converts 1.000 kg of toluene to 1.21 kg of benzoic acid? \(2 \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{3}+3 \mathrm{O}_{2} \longrightarrow 2 \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{H}+2 \mathrm{H}_{2} \mathrm{O}\)

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