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# 17.16: Standard Heat of Formation

Difficulty Level: At Grade Created by: CK-12
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Credit: User:Moskey71/Wikipedia
Source: http://commons.wikimedia.org/wiki/File:HopeDiamond.JPG
License: CC BY-NC 3.0

Is the Hope diamond just a very expensive pencil?

The Hope diamond is a very expensive piece of jewelry, currently worth about \$350 million. A pencil can be purchased for less than a dollar. Both items contain carbon, but there is a big difference in how that carbon is organized. The diamond was formed under very different reaction conditions than the graphite, so it has a different heat of formation.

### Standard Heat of Formation

A relatively straightforward chemical reaction is one in which elements are combined to form a compound. Sodium and chlorine react to form sodium chloride (see video below). Hydrogen and oxygen combine to form water. Like other reactions, these are accompanied by either the absorption or release of heat. The standard heat of formation (ΔHf)\begin{align*}(\Delta H{_f}^\circ)\end{align*} is the enthalpy change associated with the formation of one mole of a compound from its elements in their standard states. The standard conditions for thermochemistry are 25°C and 101.3 kPa. Therefore, the standard state of an element is its state at 25°C and 101.3 kPa. For example, iron is a solid, bromine is a liquid, and oxygen is a gas under those conditions. The standard heat of formation of an element in its standard state is by definition equal to zero. The ΔHf=0\begin{align*}\Delta H{_f}^\circ=0\end{align*} for the diatomic elements, H2(g), N2(g), O2(g), F2(g), Cl2(g), Br2(l), and I2(g). The graphite form of solid carbon is its standard state with ΔHf=0\begin{align*}\Delta H{_f}^\circ = 0\end{align*}, while diamond is not its standard state. Some standard heats of formation are listed in the Table below.

Watch a video of the reaction between sodium metal and chlorine gas

 Substance ΔHf∘\begin{align*}\Delta H{_f}^\circ \end{align*}(kJ/mol) Substance ΔHf∘\begin{align*}\Delta H{_f}^\circ\end{align*} (kJ/mol) Al2O3(s) -1669.8 H2O2(l) -187.6 BaCl2(s) -860.1 KCl(s) -435.87 Br2(g) 30.91 NH3(g) -46.3 C (s, graphite) 0 NO(g) 90.4 C (s, diamond) 1.90 NO2(g) 33.85 CH4(g) -74.85 NaCl -411.0 C2H5OH(l) -276.98 O3(g) 142.2 CO(g) -110.5 P(s, white) 0 CO2(g) -393.5 P(s, red) -18.4 CaO(s) -635.6 PbO(s) -217.86 CaCO3(s) -1206.9 S(rhombic) 0 HCl(g) -92.3 S(monoclinic) 0.30 CuO(s) -155.2 SO2(g) -296.1 CuSO4(s) -769.86 SO3(g) -395.2 Fe2O3(s) -822.2 H2S(g) -20.15 H2O(g) -241.8 SiO2 -859.3 H2O(l) -285.8 ZnCl2 -415.89

#### Summary

• The standard heat of formation is defined.

#### Practice

Read the material at the link below and answer the questions:

#### Review

Questions

1. What is the standard heat of formation for an element?
2. Does the standard heat of formation for water differ in the gaseous and liquid states?
3. What are temperature and pressure conditions for determining standard heat of formation?

1. [1]^ Credit: User:Moskey71/Wikipedia; Source: http://commons.wikimedia.org/wiki/File:HopeDiamond.JPG; License: CC BY-NC 3.0

## Date Created:

May 01, 2013

Aug 09, 2015
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