# Question e1c0b

Jan 27, 2016

You can calculate it using Hess' Law.

#### Explanation:

Hess' Law states that the overall enthalpy change for a reaction is independent of the route taken.

We can apply this principle when calculating enthalpies of reaction which are not easy to measure directly, as is the case here.

Since tetrazene and hydrazine are made up of the same elements you start your cycle by writing down the equation for the reaction you are interested in.

Underneath you add the elements and then complete the cycle as indicated:

$\textcolor{red}{\text{Route 1}}$ and $\textcolor{b l u e}{\text{Route 2}}$ both start and finish at the same place so Hess' Law states that these must be equal in energy.

So we can write:

$\Delta {H}_{f \left(t\right)} + \Delta {H}_{\text{rxn}} = \Delta {H}_{f \left(h\right)}$

$\therefore \Delta {H}_{\text{rxn}} = \Delta {H}_{f \left(t\right)} - \Delta {H}_{f \left(h\right)}$

I looked up the enthalpies of formation in a date table:

:.DeltaH_("rxn")=226.6-50.63=175.95"kJ/mol"

Note that I did not include the enthalpy of formation of nitrogen in the calculation since it is an element and, by definition, is equal to zero.

A more general form of this calculation is :

DeltaH_("rxn")=Sigma[DeltaH("reactants")-Sigma[DeltaH("products")]#

$\Sigma$ means "sum" and takes into account the stoichiometric coefficients in the equation i.e the numbers in front of the formulae.

Try and remember that this comes from Hess' Law.