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# Thermochemical Equations

## Describes the incorporation of enthalpy into a reaction equation

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Thermochemical Equation

Credit: Image copyright Amy Walters, 2014
Source: http://www.shutterstock.com

#### What is the best way to heat a house?

Heating a home is becoming more and more expensive. Do we use gas, oil, electricity, wood? Part of the decision is based on which fuel will provide the highest amount of energy release when burned. Studies of thermochemistry can be very useful in getting reliable information for making these important choices.

### Thermochemical Equation

When methane gas is combusted, heat is released, making the reaction exothermic. Specifically, the combustion of 1 mol of methane releases 890.4 kilojoules of heat energy. This information can be shown as part of the balanced equation.

CH4(g)+2O2(g)CO2(g)+2H2O(l)+890.4 kJ\begin{align*}\text{CH}_4(g)+2\text{O}_2(g) \rightarrow \text{CO}_2(g)+2\text{H}_2\text{O}(l)+890.4 \ \text{kJ}\end{align*}

The equation tells us that 1 mol of methane combines with 2 mol of oxygen to produce 1 mol of carbon dioxide and 2 mol of water. In the process, 890.4 kJ is released and so it is written as a product of the reaction. A thermochemical equation is a chemical equation that includes the enthalpy change of the reaction. The process in the above thermochemical equation can be shown visually in Figure below.

Credit: CK-12 Foundation - Christopher Auyeung

(A) As reactants are converted to products in an exothermic reaction, enthalpy is released into the surroundings. The enthalpy change of the reaction is negative. (B) As reactants are converted to products in an endothermic reaction, enthalpy is absorbed from the surroundings. The enthalpy change of the reaction is positive.[Figure2]

In the combustion of methane example, the enthalpy change is negative because heat is being released by the system. Therefore, the overall enthalpy of the system decreases. The heat of reaction is the enthalpy change for a chemical reaction. In the case above, the heat of reaction is −890.4 kJ. The thermochemical reaction can also be written in this way:

CH4(g)+2O2(g)CO2(g)+2H2O(l)ΔH=890.4 kJ\begin{align*}\text{CH}_4(g)+2\text{O}_2(g) \rightarrow \text{CO}_2(g)+2\text{H}_2\text{O}(l) \quad \Delta H=-890.4 \ \text{kJ}\end{align*}

Heats of reaction are typically measured in kilojoules. It is important to include the physical states of the reactants and products in a thermochemical equation as the value of the ΔH\begin{align*}\Delta H\end{align*} depends on those states.

Endothermic reactions absorb energy from the surroundings as the reaction occurs. When 1 mol of calcium carbonate decomposes into 1 mol of calcium oxide and 1 mol of carbon dioxide, 177.8 kJ of heat is absorbed. The process is shown visually in Figure above (B). The thermochemical reaction is shown below.

CaCO3(s)+177.8 kJCaO(s)+CO2(g)\begin{align*}\text{CaCO}_3(s)+177.8 \ \text{kJ} \rightarrow \text{CaO}(s)+\text{CO}_2(g)\end{align*}

Because the heat is absorbed by the system, the 177.8 kJ is written as a reactant. The heat of reaction is positive for an endothermic reaction.

CaCO3(s)CaO(s)+CO2(g)ΔH=177.8 kJ\begin{align*}\text{CaCO}_3(s) \rightarrow \text{CaO}(s)+\text{CO}_2(g) \quad \Delta H=177.8 \ \text{kJ}\end{align*}

The way in which a reaction is written influences the value of the enthalpy change for the reaction. Many reactions are reversible, meaning that the product(s) of the reaction are capable of combining and reforming the reactant(s). If a reaction is written in the reverse direction, the sign of the ΔH\begin{align*}\Delta H\end{align*} changes. For example, we can write an equation for the reaction of calcium oxide with carbon dioxide to form calcium carbonate.

CaO(s)+CO2(g)CaCO3(s)+177.8 kJ\begin{align*}\text{CaO}(s)+\text{CO}_2(g) \rightarrow \text{CaCO}_3(s)+177.8 \ \text{kJ}\end{align*}

The reaction is exothermic and thus the sign of the enthalpy change is negative.

CaO(s)+CO2(g)CaCO3(s)ΔH=177.8 kJ\begin{align*}\text{CaO}(s)+\text{CO}_2(g) \rightarrow \text{CaCO}_3(s) \quad \Delta H=-177.8 \ \text{kJ}\end{align*}

### Summary

• The components of a thermochemical equation are described.

### Review

1. What does a thermochemical equation include?
2. Why would this information be important?
3. What happens to the sign of the enthalpy change when the reaction is reversed?

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