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Ch.5 - Thermochemistry
Chapter 5, Problem 46c

At one time, a common means of forming small quantities of oxygen gas in the laboratory was to heat KClO3: 2 KClO3(s) → 2 KCl(s) + 3 O2(g) ΔH = -89.4 kJ c. Now consider the reverse reaction, in which KClO3 is formed from KCl and O2. What is Δ𝐻 for the formation of 19.1 g KClO3 from KCl and O2?

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Identify the given reaction: 2 KClO_3(s) \rightarrow 2 KCl(s) + 3 O_2(g) with \Delta H = -89.4 \text{ kJ}.
Recognize that the reverse reaction is being considered: 2 KCl(s) + 3 O_2(g) \rightarrow 2 KClO_3(s).
For the reverse reaction, the enthalpy change (\Delta H) will be the opposite sign of the forward reaction, so \Delta H = +89.4 \text{ kJ} for the formation of 2 moles of KClO_3.
Calculate the molar mass of KClO_3: K (39.10 g/mol) + Cl (35.45 g/mol) + 3 \times O (16.00 g/mol) = 122.55 g/mol.
Determine the \Delta H for the formation of 19.1 g of KClO_3 by using the ratio: \Delta H = \left(\frac{19.1 \text{ g}}{2 \times 122.55 \text{ g/mol}}\right) \times 89.4 \text{ kJ}.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Thermochemistry

Thermochemistry is the study of the heat energy associated with chemical reactions and changes of state. It involves understanding how energy is absorbed or released during reactions, which is quantified as enthalpy change (ΔH). In this context, the ΔH value indicates whether a reaction is exothermic (releases heat) or endothermic (absorbs heat), which is crucial for calculating the energy changes in the formation of KClO3.
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Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows chemists to calculate the amounts of substances consumed and produced in a reaction based on balanced chemical equations. In this question, stoichiometry is essential for determining how much KClO3 can be formed from a given mass of KCl and O2, using the coefficients from the balanced equation.
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Reverse Reactions and Hess's Law

Hess's Law states that the total enthalpy change for a reaction is the same, regardless of the number of steps taken to complete the reaction. This principle is particularly useful when considering reverse reactions, as the ΔH for the reverse process is equal in magnitude but opposite in sign to that of the forward reaction. In this case, calculating the ΔH for the formation of KClO3 from KCl and O2 requires applying Hess's Law to the given reaction.
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Related Practice
Textbook Question

When solutions containing silver ions and chloride ions are mixed, silver chloride precipitates Ag+(aq) + Cl-(aq) → AgCl(s) H = -65.5 kJ (a) Calculate H for the production of 0.450 mol of AgCl by this reaction. (b) Calculate H for the production of 9.00 g of AgCl. (c) Calculate H when 9.25⨉10-4 mol of AgCl dissolves in water.

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Textbook Question

At one time, a common means of forming small quantities of oxygen gas in the laboratory was to heat KClO3: 2 KClO3(s) → 2 KCl(s) + 3 O2(g) ΔH = -89.4 kJ For this reaction, calculate H for the formation of (a) 1.36 mol of O2

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Textbook Question

At one time, a common means of forming small quantities of oxygen gas in the laboratory was to heat KClO3: 2 KClO3(s) → 2 KCl(s) + 3 O2(g) ΔH = -89.4 kJ For this reaction, calculate H for the formation of (b) 10.4 g of KCl.

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Textbook Question

Consider the combustion of isopropanol, C3H7OH(l), which is the primary component of rubbing alcohol: C3H7OH(l) + 9/2 O2(g) → 3 CO2(g) + 4 H2O(l) ΔH = -2248 kJ a. What is the enthalpy change for the reverse reaction?

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Textbook Question

Consider the combustion of isopropanol, C3H7OH(l), which is the primary component of rubbing alcohol: C3H7OH(l) + 9/2 O2(g) → 3 CO2(g) + 4 H2O(l) ΔH = -2248 kJ (b) Balance the forward reaction with whole-number coefficients. What is ΔH for the reaction represented by this equation?

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Textbook Question

Consider the decomposition of liquid benzene, C6H6(l), to gaseous acetylene, C2H2(g): C6H6(l) → 3 C2H2(g) ΔH = +630 kJ (a) What is the enthalpy change for the reverse reaction?

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