Write the thermochemical equations that give the values of the standard enthalpies of formation for (a) \(\mathrm{KClO}_{3}\) (s), potassium chlorate; (b) \(\mathrm{H}_{2} \mathrm{NCH}_{2} \mathrm{COOH}\) (s), glycine(s); (c) \(\mathrm{Al}_{2} \mathrm{O}_{3}(\mathrm{~s})\), alumina.

Short Answer

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The thermochemical equations are: (a) 4K(s) + 3Cl_2(g) + 6O_2(g) \rightarrow 4KClO_3(s), (b) 2C(s) + 5H_2(g) + N_2(g) + 2O_2(g) \rightarrowH_2NCH_2COOH(s), (c) 4Al(s) + 3O_2(g) \rightarrow 2Al_2O_3(s).

Step by step solution

01

- Writing the Equation for Potassium Chlorate (KClO3)

The standard enthalpy of formation (\text{Hf}^{\text{°}}) represents the change in enthalpy when one mole of a compound is formed from its elements in their standard states. For potassium chlorate (KClO_3), the chemical equation representing its standard enthalpy of formation will include the elements potassium (K), chlorine (Cl), and oxygen (O_2), which are in their standard states of solid potassium, diatomic chlorine gas, and diatomic oxygen gas, respectively. Therefore, the balanced equation is: \[4K(\text{s}) + 3Cl_2(\text{g}) + 6O_2(\text{g}) \rightarrow 4KClO_3(\text{s})\]
02

- Writing the Equation for Glycine (H_2NH_2COOH)

For glycine, a simple amino acid with the formula H_2NCH_2COOH, its standard enthalpy of formation involves the combination of elements in their standard states which are hydrogen gas (H_2), nitrogen gas (N_2), and oxygen gas (O_2) to create solid glycine. The balanced equation considering that glycine has two carbon, five hydrogen, one nitrogen, and two oxygen atoms is: \[2C(\text{s}) + 5H_2(\text{g}) + N_2(\text{g}) + 2O_2(\text{g}) \rightarrowH_2NCH_2COOH(\text{s})\]
03

- Writing the Equation for Alumina (Al_2O_3)

Alumina is composed of aluminium and oxygen. The standard state for aluminium is solid and for oxygen is gaseous diatomic oxygen (O_2). Thus, the balanced equation for the standard enthalpy of formation of alumina (Al_2O_3) involves reacting aluminum and oxygen to produce alumina. The chemical equation can be written as: \[4Al(\text{s}) + 3O_2(\text{g}) \rightarrow 2Al_2O_3(\text{s})\]

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Key Concepts

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

Thermochemical Equations
Thermochemical equations provide a way to understand the heat changes that accompany chemical reactions. These equations are just like other chemical equations, but they also include information about the enthalpy change. Entropy change is frequently denoted by the symbol , and its unit is the joule per mole (J/mol) or kilojoule per mole (kJ/mol).

In the context of standard enthalpies of formation, thermochemical equations represent the enthalpy change when one mole of a compound is formed from its constituent elements in their standard states. For example, the equation for forming potassium chlorate () from potassium, chlorine, and oxygen, comes with an enthalpy change value that indicates the amount of energy absorbed or released during the reaction.
Chemical Thermodynamics
Chemical thermodynamics is the study of the interrelation of heat and work with chemical reactions or with physical changes of state within the confines of the laws of thermodynamics. It deals with the energy changes involved in these processes and provides a framework for understanding the energetics of reactions. For example, the standard enthalpy of formation is a concept from thermodynamics that reflects how much energy is needed to form a compound from its elements.

The principles of thermodynamics guide us in predicting whether a reaction will occur spontaneously and help us compute the balance of energy requirements for chemical transformations.
Enthalpy Change
Enthalpy change, commonly referred to as , is the measure of the total heat content of a system. It is an essential concept in understanding heat transfer during a chemical reaction. This parameter can either be positive, in the case of endothermic reactions where heat is absorbed, or negative, for exothermic reactions which release heat.

For the formation of compounds such as potassium chlorate, glycine, and alumina, the values are the heat absorbed or released when these compounds are formed from their elements. This value critically influences whether a reaction is thermodynamically favorable and plays a direct role in calculating the energy balance of chemical processes.
Balancing Chemical Equations
Balancing chemical equations is a fundamental skill in chemistry that ensures the law of conservation of mass is upheld. A balanced chemical equation shows that the number of atoms of each element is the same on both sides of the equation.

When we balance thermochemical equations, we also validate that the energy aspects of the reaction are consistent. For example, having the correct stoichiometry for the reaction between potassium, chlorine, and oxygen to form potassium chlorate is crucial, as it affects the calculation of the standard enthalpy of formation. Properly balanced equations prevent discrepancies in calculations of energy changes and are vital to accurate thermochemical analysis.

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Most popular questions from this chapter

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