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Ch.4 - Chemical Reactions and Chemical Quantities
Tro - Chemistry: A Molecular Approach 5th Edition
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Tutti i libri di testoTro 5th EditionCh.4 - Chemical Reactions and Chemical QuantitiesProblema 40
Capitolo 4, Problema 40

Calculate the theoretical yield of product (in moles) for each initial amount of reactants.
3 Mn(s) + 2 O2(g) → Mn3O4(s)
a. 3 mol Mn, 2 mol O2
b. 4 mol Mn, 7 mol O2
c. 27.5 mol Mn, 43.8 mol O2

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Identify the balanced chemical equation: 3 \(\text{ Mn}\)(s) + 2 \(\text{ O}\)_2(g) \(\rightarrow\) \(\text{ Mn}\)_3\(\text{O}\)_4(s)
Determine the molar ratio between reactants and product from the balanced equation: 3 \(\text{ mol Mn}\) : 2 \(\text{ mol O}\)_2 : 1 \(\text{ mol Mn}\)_3\(\text{O}\)_4
Calculate the theoretical yield of Mn_3O_4 based on the amount of Mn: \(\frac{4 \text{ mol Mn}\)}{3 \(\text{ mol Mn}\)} \(\times\) 1 \(\text{ mol Mn}\)_3\(\text{O}\)_4
Calculate the theoretical yield of Mn_3O_4 based on the amount of O_2: \(\frac{7 \text{ mol O}\)_2}{2 \(\text{ mol O}\)_2} \(\times\) 1 \(\text{ mol Mn}\)_3\(\text{O}\)_4
Identify the limiting reactant by comparing the theoretical yields from Mn and O_2, and use the smaller yield as the theoretical yield of Mn_3O_4.

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Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between reactants and products in a chemical reaction. It allows chemists to predict the amounts of substances consumed and produced in a given reaction based on balanced chemical equations. Understanding stoichiometry is essential for calculating theoretical yields, as it provides the mole ratios needed to determine how much product can be formed from specific amounts of reactants.
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Stoichiometry Concept

Limiting Reactant

The limiting reactant is the substance that is completely consumed first in a chemical reaction, thus determining the maximum amount of product that can be formed. Identifying the limiting reactant is crucial for yield calculations, as it dictates the extent of the reaction. In the given question, one must compare the mole ratios of the reactants to find which one limits the formation of Mn3O4.
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Limiting Reagent Concept

Theoretical Yield

Theoretical yield is the maximum amount of product that can be generated from a given amount of reactants, assuming complete conversion and no losses. It is calculated using stoichiometric relationships derived from the balanced chemical equation. The theoretical yield is important for evaluating the efficiency of a reaction and is often compared to the actual yield obtained in practice to determine the reaction's success.
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Percent Yield in Reactions
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