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What is the value of the standard formation enthalpy for any element under standard conditions?

Short Answer

Expert verified
The value is zero.

Step by step solution

01

Understanding the Concept

The standard enthalpy of formation is the change in enthalpy when one mole of a compound is formed from its elements in their standard states. For any pure element in its standard state, this value is a reference point.
02

Standard State Definition

Standard state refers to the most stable form of an element at 1 atmosphere pressure and a specified temperature, usually 25°C (298 K). Examples include O₂ gas for oxygen, H₂ gas for hydrogen, and solid carbon as graphite.
03

Standard Formation Enthalpy for Elements

For any element in its standard state, by definition, the standard enthalpy of formation is zero. This provides a baseline for comparing the formation enthalpies of compounds.

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Key Concepts

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

Standard State
In chemistry, the concept of "standard state" is crucial to understanding how different elements and compounds behave under specific conditions. The standard state of a substance is defined as its most stable form at 1 atmosphere of pressure and a temperature of 25°C or 298 K.
For instance, oxygen in its standard state is a diatomic gas, Oâ‚‚. Hydrogen is also a diatomic gas, Hâ‚‚, while carbon appears as solid graphite. These states provide a consistent baseline for scientists to compare data across various substances.
These standard states are not just theoretical but are supported by empirical data that helps in calculating other thermodynamic properties, such as enthalpy, entropy, and Gibbs free energy.
  • The standard state is not dependent on the quantity of the substance, it is a measure of stability at given conditions.
  • It is important to note that standard state doesn't mean "naturally" occurring but is a defined condition for scientific consistency.
Enthalpy of Formation
The enthalpy of formation is a fundamental concept in thermochemistry. It refers to the change in enthalpy when one mole of a compound is formed from its constituent elements in their standard states.
This is usually expressed in kilojoules per mole ( ext{KJ/mol}) and is often needed when calculating reactions in a laboratory setting. For example, when water ( ext{H}_2 ext{O}) is formed from hydrogen gas ( ext{H}_2) and oxygen gas ( ext{O}_2), the enthalpy of formation measures the energy change in the creation of water from these elements.
Enthalpy of formation values can be positive if energy is absorbed during the formation or negative if energy is released. This property plays a vital role in assessing reaction spontaneity and stability of compounds.
  • Enthalpy of formation is key for determining reaction pathways and energy budgets in industrial and natural processes.
  • When discussing enthalpy of formation, the term "formation" always implies that the elements are in their standard states.
Pure Element
When we talk about a "pure element" in chemistry, we are referring to a substance that consists entirely of one type of atom, devoid of any isotopic blends or impurities. In the context of standard formation enthalpy, pure elements in their standard states serve as reference points.
This means that the standard enthalpy of formation for any pure element in its standard state is defined as zero. This zero point is a cornerstone in thermochemistry because it allows chemists to have a baseline for measuring the enthalpy changes involved in forming compounds.
By having all pure elements at zero enthalpy of formation, calculations across various chemical reactions become more streamlined and accurate. This definition simplifies understanding and applying thermodynamic principles in both academic and practical settings.
  • Having a zero reference for pure elements aids in minimizing calculation errors in more complex chemical reactions.
  • The concept emphasizes the idea that we derive conventional values based on stable, "pure" forms of elements under specific conditions.

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Most popular questions from this chapter

A diamond can be considered a giant all-carbon supermolecule in which almost every carbon atom is bonded to four other carbons. When a diamond cutter cleaves (splits) a diamond, carbon-carbon bonds must be broken. Is the cleavage (splitting) of a diamond endothermic or exothermic? Explain.

The energy unit used by electrical utilities in their monthly bills is the kilowatt hour \((\mathrm{kWh} ; 1\) kilowatt used for 1 hour). Calculate how many joules there are in a kilowatt hour. If electricity costs \(\$ .09\) per kilowatt hour, calculate how much it costs per megajoule.

The specific heat capacity of benzene, \(\mathrm{C}_{6} \mathrm{H}_{6},\) is 1.74 J \(\mathrm{g}^{-1} \mathrm{~K}^{-1}\). Calculate its molar heat capacity.

On a sunny day, solar energy reaches Earth at a rate of 4.0 J min \(^{-1} \mathrm{~cm}^{-2}\). Suppose a house has a square, flat roof of dimensions \(12 \mathrm{~m}\) by \(12 \mathrm{~m}\). Calculate how much solar energy reaches this roof in \(1.0 \mathrm{~h}\). (Note: This is why roofs painted with light- reflecting paint keep buildings cooler than black, unpainted roofs. The painted roofs reflect most of this energy rather than absorb it.)

When \(0.100 \mathrm{~g} \mathrm{CaO}(\mathrm{s})\) is added to \(125 \mathrm{~g} \mathrm{H}_{2} \mathrm{O}\) at \(23.6^{\circ} \mathrm{C}\) in a coffee cup calorimeter, this reaction occurs. \(\mathrm{CaO}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\ell) \longrightarrow \mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{aq}) \quad \Delta_{t} H^{\circ}=-81.9 \mathrm{~kJ} / \mathrm{mol}\) Calculate the final temperature of the solution.

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