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Ch.5 - Thermochemistry
Chapter 5, Problem 42b

Without referring to tables, predict which of the following has the higher enthalpy in each case: (b) 2 mol of iodine atoms or 1 mol of I2

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Understand the concept of enthalpy, which is a measure of the total energy of a thermodynamic system, usually expressed in joules or kilojoules per mole.
Recognize that the enthalpy of a substance depends on its molecular structure and the bonds between atoms. Stronger bonds generally mean lower enthalpy.
Consider the molecular structure of iodine in its different forms: as individual iodine atoms and as I<sub>2</sub> molecules. I<sub>2</sub> consists of two iodine atoms bonded together.
Recall that forming a bond releases energy, thus stabilizing the system. Therefore, a molecule of I<sub>2</sub>, which has a covalent bond between two iodine atoms, would have a lower enthalpy compared to separate iodine atoms which have no bonds.
Conclude that 1 mol of I<sub>2</sub> would generally have a lower enthalpy than 2 mol of iodine atoms, because the bonded I<sub>2</sub> molecules are in a lower energy state compared to separate atoms.

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Key Concepts

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

Enthalpy

Enthalpy is a thermodynamic quantity that represents the total heat content of a system. It is defined as the internal energy of the system plus the product of its pressure and volume. Enthalpy changes are crucial in chemical reactions, as they indicate whether a reaction is exothermic (releases heat) or endothermic (absorbs heat). Understanding enthalpy helps predict the stability and reactivity of substances.
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Diatomic Molecules

Diatomic molecules consist of two atoms, which can be of the same or different elements. In the case of iodine, I2 is a diatomic molecule made up of two iodine atoms bonded together. The formation of a diatomic molecule from individual atoms typically involves a release of energy, resulting in a lower enthalpy for the molecule compared to its constituent atoms. This concept is essential for comparing the enthalpy of I2 and free iodine atoms.
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Bond Energy

Bond energy is the amount of energy required to break a bond between two atoms in a molecule. In the context of I2, the bond energy reflects the stability of the I-I bond. When comparing 2 mol of iodine atoms to 1 mol of I2, the bond energy indicates that breaking the I-I bond in I2 requires energy, thus making I2 lower in enthalpy than the separate iodine atoms. This concept is key to understanding the energy changes involved in molecular formation.
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