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Why is the theoretical yield of a reaction determined only by the amount of the limiting reactant?

Short Answer

Expert verified
The limiting reactant controls the maximum product amount, hence determines theoretical yield.

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01

Understanding Theoretical Yield

The theoretical yield of a chemical reaction is the maximum amount of product that can be produced from the given reactants, assuming complete conversion of the limiting reactant into the desired product.
02

Identifying the Limiting Reactant

In any chemical reaction, the limiting reactant is the one that is completely consumed first, limiting the extent of the reaction and determining the maximum amount of product that can be formed.
03

Connection Between Limiting Reactant and Theoretical Yield

Since the limiting reactant is consumed completely when the reaction goes to completion, the theoretical yield of a reaction is calculated based entirely on the amount of limiting reactant present. Other reactants are in excess and do not influence the maximum possible amount of product.

Key Concepts

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

Limiting Reactant
In a chemical reaction, not all reactants are used up simultaneously. One of these reactants is consumed quicker than the others, preventing more product from being formed. This reactant is known as the limiting reactant. It essentially determines the endpoint of the reaction. If you think of a reaction like a recipe, the limiting reactant is like the ingredient you run out of first, which stops you from baking any more cookies. Understanding which reactant is the limiting one is crucial because it limits the amount of product that is formed. Without it, no more reaction can take place, much like you can't bake without flour if you're making cookies. This means that the limiting reactant directly impacts the maximum yield, or the maximum amount of product possible in any chemical reaction.
Chemical Reaction
A chemical reaction is a process where reactants are transformed into products. This happens through the breaking and forming of bonds between atoms, which results in a new substance. Reactions can be as simple as combining hydrogen and oxygen to form water, or they can be much more complex, involving multiple steps and reactants. It is important to balance equations that represent chemical reactions. Balanced equations ensure that you abide by the law of conservation of mass, which states that matter cannot be created or destroyed. This balance allows us to predict the amounts of reactants and products involved and ensures that all atoms in the reactants account for atoms in the products.
Product Formation
The formation of a product in a chemical reaction directly stems from the reactants involved. But crucially, it's the limiting reactant that dictates how much product we get. Once all of the limiting reactant is used up, the reaction stops, and the maximum amount of product has been formed. This culmination is what is referred to as the theoretical yield. Sometimes, reactions don't go to completion or are impaired by side reactions, which can lead to a lower yield than theoretically possible. Yet, understanding the relationship between limiting reactants and product formation is vital in achieving maximum efficiency in any chemical industry processes.
Stoichiometry
Stoichiometry is the quantitative study of reactants and products in a chemical reaction. It's essentially like a chemical cookbook, helping you calculate how much of each ingredient (or reactant) is required and what amounts of product will result. This involves using a balanced chemical equation to find the mole ratios of reactants and products. These ratios allow you to convert between quantities of different substances. For instance, if you have 2 moles of hydrogen and need to know how much water you can produce, stoichiometry helps you make that conversion. It is invaluable for scientists and engineers, ensuring reactants mix in proper amounts without excess or deficit, which is cost-effective and environmentally friendly.

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Most popular questions from this chapter

Propane \(\left(\mathrm{C}_{3} \mathrm{H}_{8}\right)\) is a minor component of natural gas and is used in domestic cooking and heating. (a) Balance the following equation representing the combustion of propane in air: $$ \mathrm{C}_{3} \mathrm{H}_{8}+\mathrm{O}_{2} \longrightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O} $$ (b) How many grams of carbon dioxide can be produced by burning 3.65 mol of propane? Assume that oxygen is the excess reactant in this reaction.

In combustion analysis, is the combined mass of the products \(\left(\mathrm{CO}_{2}\right.\) and \(\mathrm{H}_{2} \mathrm{O}\) ) less than, equal to, or greater than the combined mass of the compound that is combusted and the \(\mathrm{O}_{2}\) that reacts with it? Explain.

Nickel carbonyl can be prepared by the direct combination of nickel metal with carbon monoxide gas according to the following chemical equation: $$ \mathrm{Ni}(s)+4 \mathrm{CO}(g) \longrightarrow \mathrm{Ni}(\mathrm{CO})_{4}(s) $$ Determine the mass of nickel carbonyl that can be produced by the combination of \(50.03 \mathrm{~g} \mathrm{Ni}(s)\) with \(78.25 \mathrm{~g} \mathrm{CO}(g)\). Which reactant is consumed completely? How much of the other reactant remains when the reaction is complete?

A sample of \(10.0 \mathrm{~g}\) of sodium reacts with oxygen to form \(13.83 \mathrm{~g}\) of sodium oxide \(\left(\mathrm{Na}_{2} \mathrm{O}\right)\) and sodium peroxide \(\left(\mathrm{Na}_{2} \mathrm{O}_{2}\right) .\) Calculate the percent composition of the product mixture.

The following is a crude but effective method for estimating the order of magnitude of Avogadro's number using stearic acid \(\left(\mathrm{C}_{18} \mathrm{H}_{36} \mathrm{O}_{2}\right)\). When stearic acid is added to water, its molecules collect at the surface and form a monolayer; that is, the layer is only one molecule thick. The cross-sectional area of each stearic acid molecule has been measured to be \(0.21 \mathrm{nm}^{2}\). In one experiment, it is found that \(1.4 \times 10^{-4} \mathrm{~g}\) of stearic acid is needed to form a monolayer over water in a dish of diameter \(20 \mathrm{~cm}\). Based on these measurements, what is Avogadro's number? (The area of a circle of radius \(r\) is \(\pi r^{2}\).)

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