Consider the unbalanced equation for the neutralization of acetic acid: HC2H3O2(aq) + Ba(OH)2(aq) → H2O(l) + Ba(C2H3O2)2(aq) Balance the equation and determine how many moles of Ba(OH)2 are required to completely neutralize 0.461 mole of HC2H3O2.
Ch.4 - Chemical Quantities & Aqueous Reactions
Chapter 4, Problem 27a
Calculate how many moles of NO2 form when each quantity of reactant completely reacts. 2 N2O5( g) → 4 NO2(g) + O2(g) a. 2.5 mol N2O5

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Start by identifying the balanced chemical equation: 2 \text{N}_2\text{O}_5 (g) \rightarrow 4 \text{NO}_2 (g) + \text{O}_2 (g)
Determine the mole ratio between \text{N}_2\text{O}_5 and \text{NO}_2 from the balanced equation. The ratio is 2:4, which simplifies to 1:2.
Use the mole ratio to set up a conversion factor. For every 1 mole of \text{N}_2\text{O}_5, 2 moles of \text{NO}_2 are produced.
Multiply the given moles of \text{N}_2\text{O}_5 by the conversion factor to find the moles of \text{NO}_2.
Perform the calculation: 2.5 \text{ mol N}_2\text{O}_5 \times \frac{2 \text{ mol NO}_2}{1 \text{ mol N}_2\text{O}_5}.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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 how much of each substance will be produced or consumed based on balanced chemical equations. In this case, the stoichiometric coefficients from the balanced equation indicate that 2 moles of N2O5 produce 4 moles of NO2.
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Mole Concept
The mole concept is a fundamental principle in chemistry that defines the amount of substance. One mole is equivalent to 6.022 x 10^23 entities (atoms, molecules, etc.). This concept is crucial for converting between grams and moles, allowing for calculations of how many moles of products can be formed from a given number of moles of reactants.
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Balanced Chemical Equation
A balanced chemical equation represents a chemical reaction with equal numbers of each type of atom on both sides of the equation. It ensures the law of conservation of mass is upheld. In the provided reaction, the balanced equation shows that 2 moles of N2O5 yield 4 moles of NO2, which is essential for determining the amount of NO2 produced from a specific quantity of N2O5.
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