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What is the actual yield of a reaction? What is the percent yield of a reaction? How do the actual yield and the percent yield differ from the theoretical yield?

Short Answer

Expert verified
Actual yield is the amount of product actually obtained from a chemical reaction, while theoretical yield is the maximum amount that can be produced according to the stoichiometry of the reaction. Percent yield is a measure of the efficiency of the reaction, comparing the actual yield to the theoretical yield, calculated as: Percent Yield = \(\frac{Actual Yield}{Theoretical Yield}\) × 100. Theoretical yield is always equal to or greater than actual yield due to factors like side reactions and losses. Actual yield is determined through experiments, while theoretical yield is calculated using stoichiometry and the balanced chemical equation. Percent yield aids in evaluating the efficiency of a chemical reaction and identifying factors responsible for low yields.

Step by step solution

01

Definition of Actual Yield

Actual yield is the amount of product actually obtained from a chemical reaction, usually measured in grams or moles. It is often less than the theoretical yield due to various factors that cause the reaction to be incomplete or losses that occur during the process.
02

Definition of Percent Yield

Percent yield is the ratio of actual yield to theoretical yield, expressed as a percentage. It is a measure of the efficiency of a chemical reaction, with higher percent yields indicating more efficient reactions. Mathematically, it can be calculated as follows: Percent Yield = \(\frac{Actual Yield}{Theoretical Yield}\) × 100.
03

Definition of Theoretical Yield

Theoretical yield is the maximum amount of product that can be produced in a chemical reaction, assuming that the reaction is complete and no losses occur. It is calculated using stoichiometry, which involves the balanced chemical equation, molar masses of reactants and products and the limiting reactant.
04

Differences between Actual Yield, Percent Yield and Theoretical Yield

1. Actual yield is the real amount of a product obtained from a chemical reaction, while theoretical yield is the maximum amount that can be produced according to the stoichiometry of the reaction. Percent yield is a measure of the efficiency of the reaction, comparing the actual yield to the theoretical yield. 2. Theoretical yield is always equal to or greater than the actual yield, as it assumes that the reaction is complete with no losses, which is rarely the case in real-life experiments. 3. Actual yield can be determined only through experiments, while theoretical yield can be calculated using stoichiometry and the balanced chemical equation. 4. Percent yield is useful for evaluating the efficiency of a chemical reaction and can help identify factors that may be responsible for low yields, such as side reactions, incomplete reactions, or losses during the process.

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Key Concepts

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

Actual Yield
The actual yield is a fundamental term in chemistry, representing the quantity of product that is actually obtained from a chemical reaction. Unlike the theoretical yield, which is based on stoichiometric calculations, the actual yield is determined empirically – that is, through experimentation and measurement. This number might be lower than the theoretical prediction for several reasons, such as incomplete reactions, side reactions that produce different products, or loss of product during recovery and purification steps. For example, if we react two chemicals expecting to get 10 grams of a product but only retrieve 8 grams, the actual yield would be 8 grams.

Understanding the actual yield is essential for assessing the practicality of an industrial process. If the actual yield is consistently low, it could imply that the process is inefficient or too costly, potentially leading researchers to improve the reaction conditions or seek alternative methods. In educational laboratories, actual yield helps students understand the differences between idealized reactions in textbooks versus real-world conditions in the lab.
Percent Yield
Percent yield is a key indicator of the efficiency of a chemical reaction. It is a comparison between the actual yield and the theoretical yield, expressed in percentage form. This metric helps chemists understand how 'successful' a reaction has been in converting reactants into the desired products. The formula for percent yield is:
Percent Yield = \(\frac{Actual Yield}{Theoretical Yield}\) \times 100

If a reaction's percent yield is close to 100%, we can infer that the procedure was quite efficient and that the reactants were largely converted into the desired products. On the other hand, a low percent yield may suggest there were issues such as the presence of impurities, an incorrect reaction setup, or factors leading to product loss. Suppose you've obtained the aforementioned 8 grams of product; if the theoretical yield was 10 grams, the percent yield would be \((\frac{8}{10}) \times 100 = 80%\). This statistic is invaluable in both research and industry for process optimization, comparison, and economic evaluation.
Theoretical Yield
The theoretical yield is a concept representing the quantity of a product that could be obtained from a reaction under perfect conditions, according to stoichiometric calculations. To compute the theoretical yield, one must consider the balanced chemical equation and the quantities of all reactants used. It operates on the premise that every molecule of reactant is converted into product without any loss, which is rarely achieved in practice due to the myriad factors affecting real-world reactions.

Calculating the theoretical yield requires a solid understanding of stoichiometry, which is the quantitative relationship between reactants and products in a balanced chemical reaction. For instance, if the balanced equation indicates that 1 mole of a reactant gives 1 mole of product, then by knowing the amount of reactant used, you can predict the maximum possible amount of product that could be formed. This calculated value is essential for planning and evaluating chemical experiments and processes, allowing chemists to estimate how much product to expect and how to scale reactions accordingly.
Stoichiometry
Stoichiometry is a central principle in chemistry that quantifies the relationships between reactants and products in a chemical equation. It is what enables chemists to predict the amounts of substances consumed and produced in a reaction. By utilizing the coefficients of a balanced chemical equation, stoichiometry allows for the calculation of theoretical yields, as just mentioned, and informs critical decisions regarding the necessary amounts of reactants.

To effectively use stoichiometry, one must first ensure that the chemical equation is balanced, meaning that the same number of atoms of each element is present on both sides of the equation. Then, using the molar masses of the substances involved, chemists can convert between mass, moles, and number of particles, providing a comprehensive picture of the reaction's quantitative aspects. This stoichiometric understanding is pivotal for successful laboratory experiments and industrial chemical production, as it serves as the foundation for procuring materials and determining the appropriate reaction scale.
Limiting Reactant
The limiting reactant in a chemical reaction is akin to the weakest link in a chain – it is the substance that gets consumed first and thus determines the amount of product that can be formed. In simple terms, once the limiting reactant is used up, the reaction stops, and no additional product can be created, regardless of the quantities of other reactants present.

Identifying the limiting reactant is a crucial step in predicting theoretical yield and requires a comparison between the molar amounts of each reactant used and the stoichiometry of the balanced chemical equation. It is important to calculate the limiting reactant accurately to optimize the use of materials and minimize waste. In essence, the limiting reactant is the 'governor' of the reaction, and understanding which reactant fulfills this role is an essential part of planning and executing chemical syntheses both on a laboratory scale and in large-scale chemical manufacturing.

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Most popular questions from this chapter

If sodium peroxide is added to water, elemental oxygen gas is generated: $$\mathrm{Na}_{2} \mathrm{O}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{NaOH}(a q)+\mathrm{O}_{2}(g)$$ Suppose \(3.25 \mathrm{g}\) of sodium peroxide is added to a large excess of water. What mass of oxygen gas will be produced?

What does it mean to say a reactant is present "in excess" in a process? Can the limiting reactant be present in excess? Does the presence of an excess of a reactant affect the mass of products expected for a reaction?

If steel wool (iron) is heated until it glows and is placed in a bottle containing pure oxygen, the iron reacts spectacularly to produce iron(III) oxide. $$\mathrm{Fe}(s)+\mathrm{O}_{2}(g) \rightarrow \mathrm{Fe}_{2} \mathrm{O}_{3}(s)$$ If \(1.25 \mathrm{g}\) of iron is heated and placed in a bottle containing 0.0204 mol of oxygen gas, what mass of iron(III) oxide is produced?

Many metals occur naturally as sulfide compounds; examples include \(\mathrm{ZnS}\) and \(\mathrm{CoS}\). Air pollution often accompanies the processing of these ores, because toxic sulfur dioxide is released as the ore is converted from the sulfide to the oxide by roasting (smelting). For example, consider the unbalanced equation for the roasting reaction for zinc: $$\mathrm{ZnS}(s)+\mathrm{O}_{2}(g) \rightarrow \mathrm{ZnO}(s)+\mathrm{SO}_{2}(g)$$ How many kilograms of sulfur dioxide are produced when \(1.0 \times 10^{2} \mathrm{kg}\) of \(\mathrm{ZnS}\) is roasted in excess oxygen by this process?

Hydrogen peroxide is used as a cleaning agent in the treatment of cuts and abrasions for several reasons. It is an oxidizing agent that can directly kill many microorganisms; it decomposes upon contact with blood, releasing elemental oxygen gas (which inhibits the growth of anaerobic microorganisms); and it foams upon contact with blood, which provides a cleansing action. In the laboratory, small quantities of hydrogen peroxide can be prepared by the action of an acid on an alkaline earth metal peroxide, such as barium peroxide. $$\mathrm{BaO}_{2}(s)+2 \mathrm{HCl}(a q) \rightarrow \mathrm{H}_{2} \mathrm{O}_{2}(a q)+\mathrm{BaCl}_{2}(a q)$$ What amount of hydrogen peroxide should result when \(1.50 \mathrm{g}\) of barium peroxide is treated with 25.0 mL of hydrochloric acid solution containing \(0.0272 \mathrm{g}\) of HCl per mL?

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