How To Calculate The Percent Yield and Theoretical Yield

The Organic Chemistry Tutor
11 Aug 201717:01
EducationalLearning
32 Likes 10 Comments

TLDRThis educational video script explains the concept of theoretical and percent yield in chemical reactions. It uses the example of iron reacting with oxygen to form iron oxide, calculating the theoretical yield based on the limiting reactant and then determining the percent yield by comparing the actual yield to the theoretical yield. The script also explores a hypothetical scenario with vanadium and ozone, illustrating the process of finding the limiting reactant and calculating the theoretical yield. The video aims to clarify these chemical principles with step-by-step calculations and clear explanations.

Takeaways
  • πŸ§ͺ The video explains how to calculate theoretical and percent yields in chemical reactions.
  • πŸ“ A balanced chemical equation is essential for determining the theoretical yield of a reaction.
  • πŸ€” Theoretical yield is the maximum amount of product that can be produced from a given amount of reactants.
  • βš–οΈ To find the theoretical yield, convert grams of the limiting reactant to moles, then use the molar ratio to find moles of product, and finally convert back to grams.
  • πŸ“‰ The percent yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100.
  • πŸ”’ The actual yield is the amount of product actually produced in the reaction, which should be less than or equal to the theoretical yield.
  • πŸ“Š To calculate the actual yield if given a percent efficiency, multiply the theoretical yield by the decimal equivalent of the percentage.
  • πŸ”„ The process involves converting grams to moles using molar masses, using molar ratios to find the product, and converting moles of product back to grams.
  • 🌐 The script uses the reaction of iron with oxygen to form iron oxide (Fe3O4) as an example to illustrate the calculation process.
  • πŸ”¬ Another example provided involves the reaction of vanadium with ozone to produce vanadium pentoxide (V2O5), highlighting the concept of limiting and excess reactants.
  • πŸ“š The video emphasizes the importance of understanding the relationship between theoretical yield, actual yield, and percent yield in chemical reactions.
Q & A
  • What is the main topic of the video?

    -The main topic of the video is to explain how to calculate the theoretical yield and the percent yield in chemical reactions.

  • What is the balanced chemical equation for the reaction between iron metal and oxygen gas to produce iron oxide?

    -The balanced chemical equation is 3Fe + 2O2 β†’ Fe3O4.

  • What is the theoretical yield in a chemical reaction?

    -The theoretical yield is the maximum amount of product that can be produced in a chemical reaction, based on the limiting reactant.

  • How is the theoretical yield used to calculate the percent yield?

    -The percent yield is calculated by dividing the actual yield by the theoretical yield and then multiplying by 100.

  • What is the actual yield in the given example of iron reacting with oxygen?

    -The actual yield in the example is 58.1 grams of iron oxide (Fe3O4).

  • How is the molar mass of Fe3O4 calculated in the video?

    -The molar mass of Fe3O4 is calculated by adding 3 times the molar mass of iron (Fe) to 4 times the molar mass of oxygen (O), which is 3 * 55.85 + 4 * 16 = 231.55 grams/mole.

  • What is the theoretical yield of Fe3O4 in the example given in the video?

    -The theoretical yield of Fe3O4 is calculated to be 62.5 grams.

  • What is the percent yield of the reaction between iron and oxygen in the video?

    -The percent yield of the reaction is approximately 93%.

  • How can you determine the limiting reactant in a chemical reaction?

    -The limiting reactant is the reactant that is completely consumed in a chemical reaction and determines the maximum amount of product that can be formed. It is usually determined by comparing the moles of each reactant converted to the product.

  • In the second example with vanadium and ozone, how is the theoretical yield determined?

    -The theoretical yield is determined by converting the grams of each reactant to the grams of the product (V2O5) and comparing the results. The lower of the two results is the theoretical yield because it represents the amount that can be produced by the limiting reactant.

  • What is the percent yield of the reaction between vanadium and ozone in the video?

    -The percent yield of the reaction is 72.8%, which is calculated using the actual yield of 65 grams of V2O5 and the theoretical yield of 89.26 grams.

  • How can you calculate the actual yield if a reaction is 75% efficient, using the theoretical yield?

    -To calculate the actual yield for a 75% efficient reaction, you multiply the theoretical yield by 75 (or 0.75 as a decimal).

Outlines
00:00
πŸ§ͺ Calculating Theoretical and Percent Yields

This paragraph introduces the concept of calculating theoretical and percent yields in a chemical reaction. It uses the example of iron metal reacting with oxygen to produce iron oxide (Fe3O4). The process involves writing a balanced chemical equation, determining the limiting reactant, converting grams to moles, using the molar ratio to find moles of the product, and then converting back to grams to calculate the theoretical yield. The theoretical yield is the maximum amount of product that can be produced in a reaction. The paragraph also explains how to calculate the percent yield using the formula: (actual yield / theoretical yield) * 100.

05:02
πŸ“Š Understanding Actual Yield and Percent Efficiency

The second paragraph delves into the actual yield of a chemical reaction, which is the amount of product actually produced, and contrasts it with the theoretical yield. It uses the same iron and oxygen reaction to explain how to calculate the percent yield when the actual yield is known. The paragraph also discusses the concept of reaction efficiency, providing an example where the reaction is not 100% efficient, and shows how to calculate the actual yield based on a given percent efficiency. The importance of matching the units and substances when calculating yields is emphasized.

10:04
πŸ” Determining the Limiting Reactant and Theoretical Yield

In this paragraph, the focus shifts to identifying the limiting reactant in a reaction where both reactants are initially present in equal amounts. The example given involves vanadium and ozone reacting to form vanadium pentoxide (V2O5). The process requires converting the mass of each reactant to moles, using the molar ratio to find the theoretical yield of the product, and then comparing the results to determine the limiting reactant. The theoretical yield is established as the lower of the two possible yields, and the corresponding reactant is identified as the limiting reactant.

15:05
πŸ“‰ Calculating Percent Yield and Actual Yield at Different Efficiencies

The final paragraph explains how to calculate the percent yield when the actual yield and theoretical yield are known, using the formula: (actual yield / theoretical yield) * 100. It provides an example calculation for the vanadium and ozone reaction, revealing the reaction's efficiency. The paragraph also explores a hypothetical scenario where the reaction is more efficient, demonstrating how to calculate the actual yield based on a different percent efficiency. The summary concludes with a general explanation of how to interpret efficiency percentages in the context of chemical reactions.

Mindmap
Keywords
πŸ’‘Theoretical Yield
Theoretical yield refers to the maximum amount of product that can be produced in a chemical reaction, assuming 100% efficiency and that the limiting reactant is completely consumed. In the video, it is calculated by converting grams of the limiting reactant to moles, using the molar ratio to find moles of the product, and then converting back to grams of the product. The script uses the example of iron reacting with oxygen to produce iron oxide, where the theoretical yield is 62.5 grams of iron oxide.
πŸ’‘Percent Yield
Percent yield is the ratio of the actual yield (the amount of product actually produced in a reaction) to the theoretical yield, expressed as a percentage. It measures the efficiency of a chemical reaction. In the script, the percent yield is calculated by dividing the actual yield of iron oxide (58.1 grams) by the theoretical yield (62.5 grams) and multiplying by 100, resulting in a 92.96% yield.
πŸ’‘Limiting Reactant
A limiting reactant is the reactant that is completely consumed in a chemical reaction and thus determines the maximum amount of product that can be formed. In the video, iron is identified as the limiting reactant in the reaction with oxygen because it is the reactant that will run out first, limiting the amount of iron oxide that can be produced.
πŸ’‘Excess Reactant
An excess reactant is a reactant that remains after a chemical reaction has completed because it is present in a greater amount than necessary to react with the limiting reactant. In the script, oxygen is described as the excess reactant in the reaction with iron, meaning it is present in more than enough quantity to react with all the iron available.
πŸ’‘Molar Mass
Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is used to convert between mass and the number of moles of a substance. In the video, the molar masses of iron (Fe), iron oxide (Fe3O4), and vanadium pentoxide (V2O5) are used to calculate the theoretical yield of the reactions.
πŸ’‘Balanced Chemical Equation
A balanced chemical equation is an equation that has an equal number of atoms for each element on both sides, ensuring the law of conservation of mass is obeyed. The script describes how to balance the equation for the reaction between iron and oxygen to form iron oxide, and between vanadium and ozone to form vanadium pentoxide.
πŸ’‘Molar Ratio
Molar ratio is the ratio of the amounts of substances involved in a chemical reaction, usually expressed in moles. It is used to convert between the moles of reactants and products. In the video, the molar ratio of iron to iron oxide (3:1) and vanadium to vanadium pentoxide (6:3) is used to find the theoretical yield.
πŸ’‘Actual Yield
Actual yield is the amount of product that is actually produced in a chemical reaction. It is compared to the theoretical yield to calculate the percent yield. In the script, the actual yield of iron oxide is given as 58.1 grams, which is used to determine the percent yield of the reaction.
πŸ’‘Efficiency
In the context of chemical reactions, efficiency refers to how well a reaction proceeds towards the formation of products, often measured by the percent yield. The script discusses what the yield would be if a reaction were 75% or 90% efficient, using the theoretical yield to calculate the expected actual yield under these conditions.
πŸ’‘Gram to Gram Conversion
Gram to gram conversion is the process of converting the mass of one substance to the mass of another in a chemical reaction, based on their respective molar masses and the stoichiometry of the reaction. The script demonstrates this process in the calculation of the theoretical yield for both iron oxide and vanadium pentoxide.
Highlights

Introduction to calculating theoretical yield and percent yield.

Explanation of a chemical reaction involving iron metal and oxygen gas to produce iron oxide (Fe3O4).

Writing a balanced chemical equation for the reaction.

Understanding the concept of theoretical yield in terms of product quantity.

Conversion of grams of iron (Fe) to moles using molar mass.

Utilization of molar ratio to convert moles of Fe to moles of Fe3O4.

Conversion of moles of Fe3O4 back to grams using molar mass to find theoretical yield.

Calculation of the theoretical yield of Fe3O4 as 62.5 grams.

Introduction to the concept of percent yield and its formula.

Calculation of the actual yield from the given 58.1 grams of Fe3O4 produced.

Determination of the percent yield as approximately 93 percent.

Exploration of a hypothetical scenario with 75 percent efficiency in the reaction.

Calculation of the actual yield if the reaction was 75 percent efficient.

Introduction to a second example involving vanadium and ozone to produce vanadium pentoxide.

Balancing the chemical equation for the reaction of vanadium with ozone.

Method to determine the limiting reactant and theoretical yield by comparing conversions of reactants to product.

Calculation of theoretical yield for vanadium pentoxide as 89.26 grams.

Explanation of how to calculate percent yield given the actual yield of 65 grams of vanadium pentoxide.

Determination of the process efficiency as 72.8 percent.

Calculation of vanadium pentoxide production at 90 percent efficiency.

Conclusion summarizing the importance of understanding theoretical and percent yields in chemical reactions.

Transcripts
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