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Suggest ways (with appropriate equations) that would enable you to measure the \(\Delta H_{\mathrm{f}}^{\circ}\) values of \(\mathrm{Ag}_{2} \mathrm{O}(s)\) and \(\mathrm{CaCl}_{2}(s)\) from their elements. No calculations are necessary.

Short Answer

Expert verified
Use formation reactions: 2Ag(s) + 1/2O2(g) -> Ag2O(s) and Ca(s) + Cl2(g) -> CaCl2(s), measured via calorimetry.

Step by step solution

01

Understand the Concept

Enthalpy of formation, represented as \( \Delta H_{\mathrm{f}}^{\circ} \), is the change in enthalpy when one mole of a compound is formed from its elements in their standard states. We need to identify the reactions for the formation of each compound from elements in their standard states.
02

Write the Formation Equation for Ag2O(s)

The formation equation for silver oxide \( \text{Ag}_2\text{O}(s) \) from its elements in standard states is: \[ 2 \text{Ag}(s) + \dfrac{1}{2} \text{O}_2(g) \rightarrow \text{Ag}_2\text{O}(s) \]. This reaction represents the formation of 1 mole of \( \text{Ag}_2\text{O} \) from silver metal and oxygen gas.
03

Write the Formation Equation for CaCl2(s)

The formation equation for calcium chloride \( \text{CaCl}_2(s) \) from its elements in standard states is: \[ \text{Ca}(s) + \text{Cl}_2(g) \rightarrow \text{CaCl}_2(s) \].This reaction involves the formation of 1 mole of \( \text{CaCl}_2 \) from calcium metal and chlorine gas.
04

Outline Methods for Measurement

The \( \Delta H_{\mathrm{f}}^{\circ} \) for these compounds can be measured experimentally using calorimetry. For \( \text{Ag}_2\text{O} \), measure the heat change during the reaction above, and for \( \text{CaCl}_2 \), measure the heat change as chlorine gas reacts with calcium.

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Key Concepts

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

Silver Oxide
Silver oxide is a compound of silver and oxygen with a chemical formula of \( \text{Ag}_2\text{O} \). It forms a powder that is dark brown or black in color. In chemistry, silver oxide is known for its role in oxidation-reduction reactions and serves as an excellent example of a compound that can be analyzed through the enthalpy of formation. The formation reaction of silver oxide from its elements in their standard states involves combining pure silver, \( \text{Ag}(s) \), and gaseous oxygen, \( \text{O}_2(g) \). Specifically, the reaction proceeds as follows:- \( 2 \text{Ag}(s) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{Ag}_2\text{O}(s) \) This equation denotes that two moles of silver react with half a mole of oxygen, producing one mole of silver oxide. Understanding this reaction is important when considering thermochemistry, as it allows one to measure the enthalpy change when the compound forms, which is a crucial step in various experimental setups such as calorimetry.
Calcium Chloride
Calcium chloride, \( \text{CaCl}_2 \), is a chemical compound composed of calcium and chlorine, typically found in solid form as white, crystalline flakes or powder. It is widely used for de-icing roads, as a drying agent, and in various industrial applications. Its formation from elemental calcium and chlorine is of particular interest when studying enthalpy of formation.To form calcium chloride from its elements in their standard states, the reaction is written as:- \( \text{Ca}(s) + \text{Cl}_2(g) \rightarrow \text{CaCl}_2(s) \)In this reaction, solid calcium and gaseous chlorine combine to form solid calcium chloride. The reaction represents the formation of one mole of \( \text{CaCl}_2 \). Understanding this chemical reaction can help elucidate the energy changes involved, which are essential for calculating the enthalpy of formation, \( \Delta H_{\mathrm{f}}^{\circ} \), and for conducting calorimetric experiments to measure these changes experimentally.
Calorimetry
Calorimetry is a crucial experimental technique used in measuring the enthalpy changes of chemical reactions, including the enthalpy of formation of compounds like silver oxide and calcium chloride. It derives its name from the Latin word 'calor', meaning heat, and involves using a calorimeter – a device for measuring the heat of chemical reactions or physical changes.In calorimetry, the amount of heat absorbed or released in a chemical reaction is directly measured. This is especially important for reactions such as those forming \( \text{Ag}_2\text{O} \) and \( \text{CaCl}_2 \). By measuring the temperature change in the calorimeter, scientists can determine the heat transfer that occurs during the reaction: - If the temperature of the system increases, the reaction is exothermic (releases heat).- If the temperature decreases, the reaction is endothermic (absorbs heat). Once the calorimetric data is collected, it can be used to calculate \( \Delta H_{\mathrm{f}}^{\circ} \), the standard enthalpy change of formation. This technique not only provides insight into the energy dynamics of chemical processes but also reinforces the theoretical concepts of thermodynamics in practical applications.

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Most popular questions from this chapter

(a) A snowmaking machine contains a mixture of compressed air and water vapor at about 20 atm. When the mixture is sprayed into the atmosphere it expands so rapidly that, as a good approximation, no heat exchange occurs between the system (air and water) and its surroundings. (In thermodynamics, such a process is called an adiabatic process.) Do a first law of thermodynamics analysis to show how snow is formed under these conditions. (b) If you have ever pumped air into a bicycle tire, you probably noticed a warming effect at the valve stem. The action of the pump compresses the air inside the pump and the tire. The process is rapid enough to be treated as an adiabatic process. Apply the first law of thermodynamics to account for the warming effect. (c) A driver's manual states that the stopping distance quadruples as the speed doubles; that is, if it takes \(30 \mathrm{ft}\) to stop a car traveling at \(25 \mathrm{mph}\) then it would take \(120 \mathrm{ft}\) to stop a car moving at 50 mph. Justify this statement by using the first law of thermodynamics. Assume that when a car is stopped, its kinetic energy \(\left(\frac{1}{2} m u^{2}\right)\) is totally converted to heat.

State Hess's law. Explain, with one example, the usefulness of Hess's law in thermochemistry.

Decomposition reactions are usually endothermic, whereas combination reactions are usually exothermic. Give a qualitative explanation for these trends.

Explain the meaning of this thermochemical equation: $$ \begin{aligned} 4 \mathrm{NH}_{3}(g)+5 \mathrm{O}_{2}(g) \longrightarrow 4 \mathrm{NO}(g) &+6 \mathrm{H}_{2} \mathrm{O}(g) \\ \Delta H &=-904 \mathrm{~kJ} / \mathrm{mol} \end{aligned} $$

The combustion of \(0.4196 \mathrm{~g}\) of a hydrocarbon releases \(17.55 \mathrm{~kJ}\) of heat. The masses of the products are \(\mathrm{CO}_{2}=1.419 \mathrm{~g}\) and \(\mathrm{H}_{2} \mathrm{O}=0.290 \mathrm{~g} .\) (a) What is the empirical formula of the compound? (b) If the approximate molar mass of the compound is \(76 \mathrm{~g}\), calculate its standard enthalpy of formation.

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