# Heat of combustion

Heat of combustion

The heat of combustion (ΔHc0) is the energy released as heat when a compound undergoes complete combustion with oxygen under standard conditions. The chemical reaction is typically a hydrocarbon reacting with oxygen to form carbon dioxide, water and heat. It may be expressed with the quantities:

• energy/mole of fuel (kJ/mol)
• energy/mass of fuel
• energy/volume of fuel

The heat of combustion is traditionally measured with a bomb calorimeter. It may also be calculated as the difference between the heat of formation (ΔfH0) of the products and reactants.

## Heating value

The heating value or energy value of a substance, usually a fuel or food (see food energy), is the amount of heat released during the combustion of a specified amount of it. The energy value is a characteristic for each substance. It is measured in units of energy per unit of the substance, usually mass, such as: kJ/kg, kJ/mol, kcal/kg, Btu/m³. Heating value is commonly determined by use of a bomb calorimeter.

The heat of combustion for fuels is expressed as the HHV, LHV, or GHV.

### Higher heating value

The quantity known as higher heating value (HHV) (or gross energy or upper heating value or gross calorific value (GCV) or higher calorific value (HCV)) is determined by bringing all the products of combustion back to the original pre-combustion temperature, and in particular condensing any vapor produced. Such measurements often use a temperature of 25 °C. This is the same as the thermodynamic heat of combustion since the enthalpy change for the reaction assumes a common temperature of the compounds before and after combustion, in which case the water produced by combustion is liquid.

The higher heating value takes into account the latent heat of vaporization of water in the combustion products, and is useful in calculating heating values for fuels where condensation of the reaction products is practical (e.g., in a gas-fired boiler used for space heat). In other words, HHV assumes all the water component is in liquid state at the end of combustion (in product of combustion).

### Lower heating value

The quantity known as lower heating value (LHV) (net calorific value (NCV) or lower calorific value (LCV)) is determined by subtracting the heat of vaporization of the water vapor from the higher heating value. This treats any H2O formed as a vapor. The energy required to vaporize the water therefore is not realized as heat.

LHV calculations assume that the water component of a combustion process is in vapor state at the end of combustion, as opposed to the higher heating value (HHV) (a.k.a. gross calorific value or gross CV) which assumes all of the water in a combustion process is in a liquid state after a combustion process.

The LHV assumes that the latent heat of vaporization of water in the fuel and the reaction products is not recovered. It is useful in comparing fuels where condensation of the combustion products is impractical, or heat at a temperature below 150 °C cannot be put to use.

The above is but one definition of lower heating value adopted by the American Petroleum Institute (API) and they used a reference temperature of 60 °F (15.56 °C).

Another definition—used by Gas Processors Suppliers Association (GPSA) and originally used by API (data collected for API research project 44)—is that the lower heating value is the enthalpy of all combustion products, minus the enthalpy of the fuel at the reference temperature (API research project 44 used 25 °C. GPSA currently uses 60 °F), minus the enthalpy of the stoichiometric oxygen (O2) at the reference temperature, minus the heat of vaporization of the vapor content of the combustion products.

The distinction between the two is that this second definition assumes that the combustion products are all returned back down to the reference temperature but then the heat content from the condensing vapor is considered to be not useful. This is more easily calculated from the higher heating value than when using the previous definition and will in fact give a slightly different answer.

### Gross heating value

• Gross heating value (see AR) accounts for water in the exhaust leaving as vapor, and includes liquid water in the fuel prior to combustion. This value is important for fuels like wood or coal, which will usually contain some amount of water prior to burning.

### Measuring heating values

The higher heating value is experimentally determined in a bomb calorimeter by concealing a stoichiometric mixture of fuel and oxidizer (e.g., two moles of hydrogen and one mole of oxygen) in a steel container at 25° is initiated by an ignition device and the combustion reactions completed. When hydrogen and oxygen react during combustion, water vapor emerges. Subsequently, the vessel and its content are cooled down to the original 25 °C and the higher heating value is determined as the heat released between identical initial and final temperatures.

When the lower heating value (LHV) is determined, cooling is stopped at 150 °C and the reaction heat is only partially recovered. The limit of 150 °C is an arbitrary choice.

Note: Higher heating value (HHV) is calculated with the product of water being in liquid form while lower heating value (LHV) is calculated with the product of water being in vapor form.

### Relation between heating values

The difference between the two heating values depends on the chemical composition of the fuel. In the case of pure carbon or carbon monoxide, both heating values are almost identical, the difference being the sensible heat content of carbon dioxide between 150°C and 25°C (sensible heat exchange causes a change of temperature. In contrast, latent heat is added or subtracted for phase changes at constant temperature. Examples: heat of vaporization or heat of fusion). For hydrogen the difference is much more significant as it includes the sensible heat of water vapor between 150°C and 100°C, the latent heat of condensation at 100°C and the sensible heat of the condensed water between 100°C and 25°C. All in all, the higher heating value of hydrogen is 18.2% above its lower heating value (142 MJ/kg vs. 120 MJ/kg). For hydrocarbons the difference depends on the hydrogen content of the fuel. For gasoline and diesel the higher heating value exceeds the lower heating value by about 10% and 7%, respectively, for natural gas about 11%.

A common method of relating HHV to LHV is:

HHV = LHV + hv x (nH2O,out/nfuel,in)
where hv is the heat of vaporization of water, nH2O,out is the moles of water vaporized and nfuel,in is the number of moles of fuel combusted.[1]

Most applications which burn fuel produce water vapor which is not used and thus wasting its heat content. In such applications, the lower heating value is the applicable measure. This is particularly relevant for natural gas, whose high hydrogen content produces much water. The gross energy value is relevant for gas burnt in condensing boilers and power plants with flue gas condensation which condense the water vapor produced by combustion, recovering heat which would otherwise be wasted.

### Usage of terms

For historical reasons, the efficiency of power plants and combined heat and power plants in Europe is calculated based on the LHV, while in e.g. the US, it is generally based on the HHV. This has the peculiar result that contemporary combined heat and power plants, where flue gas condensation is implemented, may report efficiencies exceeding 100 % in Europe.

Many engine manufacturers rate their engine fuel consumption by the lower heating values. American consumers should be aware that the corresponding fuel consumption figure based on the higher heating value would be somewhat higher.

The difference between HHV and LHV definitions causes endless confusion when quoters do not bother to state the convention being used.[2] since there is typically a 10% difference for a power plant on natural gas between the two methods.

### Accounting for moisture

Both HHV and LHV can be expressed in terms of AR (all moisture counted), MF and MAF (only water from combustion of hydrogen). AR, MF, and MAF are commonly used for indicating the heating values of coal:

• AR (As Received) indicates that the fuel heating value has been measured with all moisture and ash forming minerals present.
• MF (Moisture Free) or Dry indicates that the fuel heating value has been measured after the fuel has been dried of all inherent moisture but still retaining its ash forming minerals.
• MAF (Moisture and Ash Free) or DAF (Dry and Ash Free) indicates that the fuel heating value has been measured in the absence of inherent moisture and ash forming minerals.

## Heat of combustion tables

Higher (HHV) and Lower (LHV) Heating values
of some common fuels[3]
Fuel HHV MJ/kg HHV BTU/lb HHV kJ/mol LHV MJ/kg
Hydrogen 141.80 61,000 286 121.00
Methane 55.50 23,900 889 50.00
Ethane 51.90 22,400 1,560 47.80
Propane 50.35 21,700 2,220 46.35
Butane 49.50 20,900 2,877 45.75
Pentane 45.35
Gasoline 47.30 20,400 44.40
Paraffin 46.00 19,900 41.50
Kerosene 46.20 19,862 43.00
Diesel 44.80 19,300
Coal (Anthracite) 27.00 14,000
Coal (Lignite) 15.00 8,000
Wood 15.00 6,500
Peat (damp) 6.00 2,500
Peat (dry) 15.00 6,500
Higher heating value
of some less common fuels[3]
Fuel HHV MJ/kg BTU/lb kJ/mol
Methanol 22.7 9,800 726.0
Ethanol 29.7 12,800 1,300.0
Propanol 33.6 14,500 2,020.0
Acetylene 49.9 21,500 1,300.0
Benzene 41.8 18,000 3,270.0
Ammonia 22.5 9,690 382.0
Hydrazine 19.4 8,370 622.0
Hexamine 30.0 12,900 4,200.0
Carbon 32.8 14,100 393.5
Heat of Combustion for some common fuels (higher value)
Fuel kJ/g kcal/g BTU/lb
Hydrogen 141.9 33.9 61,000
Gasoline 47.0 11.3 20,000
Diesel 45.0 10.7 19,300
Ethanol 29.7 7.1 12,000
Propane 49.9 11.9 21,000
Butane 49.2 11.8 21,200
Wood 15.0 3.6 6,000
Coal (Lignite) 15.0 4.4 8,000
Coal (Anthracite) 27.0 7.8 14,000
Natural Gas 54.0 13.0 23,000

## Lower heating value for some organic compounds (at 15.4°C)[citation needed]

The units to not convert correctly. For instance, looking at butane, 21896.1 btu/lb is 50.93 MJ/kg.

Fuel MJ/kg MJ/L BTU/lb kJ/mol
Paraffins
Methane 50.009 23,934.6 802.34
Ethane 47.794 22,871.8 1437.17
Propane 46.357 22,182.6 2044.21
Butane 45.752 21,896.1 2659.30
Pentane 45.357 28.39 21,705.9 3272.57
Hexane 44.752 29.30 21,415.6 3856.66
Heptane 44.566 30.48 21,326.0 4465.76
Octane 44.427 31.23 22,748.1 5430
Nonane 44.311 31.82
Decane 44.240 33.29
Undecane 44.194 32.70
Dodecane 44.147 33.11
Isoparaffins
Isobutane 45.613
Isopentane 45.241 27.87
2-Methylpentane 44.682
2,3-Dimethylbutane 44.659 29.47
2,3-Dimethylpentane 44.496
2,2,4-Trimethylpentane 44.310 30.49
Naphthenes
Cyclopentane 44.636 33.52
Methylcyclopentane 44.636 33.43
Cyclohexane 43.450 33.85
Methylcyclohexane 43.380 33.40
Monoolefins
Ethylene 47.195
Propylene 45.799
1-Butene 45.334
cis-2-Butene 45.194
trans-2-Butene 45.124
Isobutene 45.055
1-Pentene 45.031
2-Methyl-1-pentene 44.799
1-Hexene 44.426
Diolefins
Isoprene 44.078 -
Nitrous derivated
Nitromethane 10.513
Nitropropane 20.693
Acetylenes
Acetylene 48.241
Methylacetylene 46.194
1-Butyne 45.590
1-Pentyne 45.217
Aromatics
Benzene 40.170
Toluene 40.589
o-Xylene 40.961
m-Xylene 40.961
p-Xylene 40.798
Ethylbenzene 40.938
1,2,4-Trimethylbenzene 40.984
Propylbenzene 41.193
Cumene 41.217
Alcohols
Methanol 19.930 15.78
Ethanol 28.865 22.77
n-Propanol 30.680 24.65
Isopropanol 30.447 23.93
n-Butanol 33.075 26.79
Isobutanol 32.959 26.43
Tert-butanol 32.587 25.45
n-Pentanol 34.727 28.28
Isoamyl alcohol 31.416 35.64
Ethers
Methoxymethane 28.703
Ethoxyethane 33.867
Propoxypropane 36.355
Butoxybutane 37.798
Aldehydes and ketones
Methanal 17.259
Ethanal 24.156
Propionaldehyde 28.889
Butyraldehyde 31.610
Acetone 28.548 22.62
Other species
Carbon (graphite) 32.808
Hydrogen 120.971
Carbon monoxide 10.112 283.23712
Ammonia 18.646
Sulfur (solid) 9.163

Note that there is no difference between the lower and higher heating values for the combustion of carbon, carbon monoxide and sulfur since no water is formed in combusting those substances.

## Higher heating values of natural gases from various sources

These data on higher heating values were obtained from the International Energy Agency:[4]

The lower heating values of the above natural gases are about 90 percent of the higher heating values.

## References

• "Carburants et moteurs", J-C Guibet, Publication de l'Institut Français du Pétrole, ISBN 2-7108-0704-1

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