Comparing the Enthalpy chnage of different alcohols

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Fumilola Fawole

Comparing the Enthalpy Change of Combustion of Different Alcohols

Aim:

Enthalpy change of combustion of an alcohol is a measure of energy transferred when one mole of alcohol burns completely in oxygen. Alcohols are series of organic compounds which all contain an –OH group. The enthalpy change can be calculated by burning the fuel to heat water. It is believed that 4.2J of energy is required to raise the temperature of 1ml of water by 1˚C; therefore I will use this theory in my calculations.

In this investigation I will use 4 different alcohols to see how the molecular structure is linked to the enthalpy change of combustion of each alcohol.

Hypothesis

Relying on my previous knowledge, I predict that alcohols with a larger molecular mass will have a greater enthalpy change of combustion than the alcohols with smaller molar mass, meaning the enthalpy change will go up as the carbon number increases. I can support this hypothesis by calculating the enthalpy change of combustion of each alcohol with bond enthalpies.

 Hess’s law states: ‘The enthalpy change for any chemical reaction is independent of the intermediate stages, provided the initial and final conditions are the same for each route.

The following diagram is called an enthalpy cycle. It shows a reaction where methanol that combusts in air, reacts with oxygen forming carbon dioxide and water. The diagram shows direct and indirect routes:

CH3OH(l)  +  1.5O2(g) → CO2(g)  +  2H2O

CH3OH(l)  + 1.5O2(g)                                   CO2(g) + 2H2O      

C(g)  + 4H(g)  +  4O(g)

The Hess’s law states that the total enthalpy change of combustion for indirect route and the total enthalpy change of combustion of the direct route are the same. Therefore this should mean that:

   H1 = H3 – H2

Standard bond enthalpies for elements in their gaseous states (kJmol-1):

Carbon – Carbon (C-C) =  +347

Carbon – Hydrogen (C-H) =  +413

Oxygen – Hydrogen (O-H) =  +464

Carbon – Oxygen (C-O) =  +358

Carbon = Oxygen (C=O) =  +805

Oxygen = Oxygen (O=O) =  +498

When bonds are broken, energy is absorbed. This can be represented in the following equation:

3(C-H) + C-O + O-H + 1.5(O=O) = 3(413) + 358 + 464 + 1.5(498)

= 2808kJ/mol

When bonds are made energy is given out by the reaction:

2(C=O) + 4(O-H) = 2(805) + 4(464) = -3466kJ/mol

The enthalpy change of methanol’s combustion can be calculated by adding the energy taken in and given out by the reaction.

2808 + -3466 = -658kJ/mol

The same can be done for all the alcohols, giving the following results:

Ethanol:

C2H5OH2(l)   + 3O2(g)  →  2CO2(g)  +  3H2O(l)

Energy absorbed during bond braking:

5(C-H) + (C-C) + (C-O) + (O-H) + 3(O=O)

= 5(413) + 347 + 358 + 464 + 3(498) = 4728kJ/mol

Energy given out during bond making:

4(C=O) + 6(O-H)

= 4(805) + 6(464) = -6004kJ/mol

Enthalpy change of combustion = 4728 + -6004 = -1276kJ/mol

Join now!

Propanol:

C3H7OH(l)  +  4.5O2(g)    →   3CO2(g)  +  4H2O(l)

Energy taken in during bond braking:

7(C-H) + 2(C-C) + (C-O) + (O-H) + 4.5(O=O)

=7(413) + 2(347) + 358 + 464 + 4.5(498) = 6648kJ/mol

Energy given out during bond making:

6(C=O) + 8(O-H)

= 6(805) + 8(464) = -8542kJ/mol

Enthalpy change of combustion:

6648 + -8542 = -1894kJ/mol

Butanol:

CH4H9OH(l)  + 6O2(g)  →  4CO2(g)  + 5H2O(l)

Energy absorbed during bond braking:

9(C-H) + 3(C-C) + (C-O) + (O-H) + 6(O=O)

= 9(413) + 3(347) + 358 + 464 + 6(498) = 8568kJ/mol

Energy given out during ...

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